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Geoscientific Model Development
An interactive open-access journal of the European Geosciences Union
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Volume 8, issue 3
Geosci. Model Dev., 8, 533–547, 2015
https://doi.org/10.5194/gmd-8-533-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/gmd-8-533-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
Special issue: The Firedrake automatic code generation system
Geosci. Model Dev., 8, 533–547, 2015
https://doi.org/10.5194/gmd-8-533-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/gmd-8-533-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
Model description paper 09 Mar 2015
Model description paper | 09 Mar 2015
Firedrake-Fluids v0.1: numerical modelling of shallow water flows using an automated solution framework
C. T. Jacobs and M. D. Piggott
Related authors
No articles found.
Shuaib Rasheed, Simon C. Warder, Yves Plancherel, and Matthew D. Piggott
Ocean Sci. Discuss., https://doi.org/10.5194/os-2020-80, https://doi.org/10.5194/os-2020-80, 2020
Preprint under review for OS
Short summary
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Environmental issues arising due to coastal modification and future sea level scenarios is the major environmental hazard facing the Maldives today. Here, we carry out high resolution tidal modelling of a Maldivian atoll for the first time and show that coastal modification in the island scale is capable of driving large scale change in the wider atoll basin in a short time, comparable to that of long term sea level rise scenarios and on par with observations.
Tuomas Kärnä, Stephan C. Kramer, Lawrence Mitchell, David A. Ham, Matthew D. Piggott, and António M. Baptista
Geosci. Model Dev., 11, 4359–4382, https://doi.org/10.5194/gmd-11-4359-2018, https://doi.org/10.5194/gmd-11-4359-2018, 2018
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Unstructured meshes are attractive for coastal ocean modeling, as they allow more accurate representation of complex coastal topography. Unstructured mesh models are, however, often perceived as slow and inaccurate. We present a novel discontinuous Galerkin ocean model: Thetis. We demonstrate that the model is able to simulate baroclinic ocean flows with high accuracy on a triangular prismatic mesh. This work paves the way for highly accurate and efficient three-dimensional coastal ocean models.
Samuel D. Parkinson, Simon W. Funke, Jon Hill, Matthew D. Piggott, and Peter A. Allison
Geosci. Model Dev., 10, 1051–1068, https://doi.org/10.5194/gmd-10-1051-2017, https://doi.org/10.5194/gmd-10-1051-2017, 2017
A. S. Candy, A. Avdis, J. Hill, G. J. Gorman, and M. D. Piggott
Geosci. Model Dev. Discuss., https://doi.org/10.5194/gmdd-7-5993-2014, https://doi.org/10.5194/gmdd-7-5993-2014, 2014
Revised manuscript has not been submitted
S. D. Parkinson, J. Hill, M. D. Piggott, and P. A. Allison
Geosci. Model Dev., 7, 1945–1960, https://doi.org/10.5194/gmd-7-1945-2014, https://doi.org/10.5194/gmd-7-1945-2014, 2014
J. Hill, E. E. Popova, D. A. Ham, M. D. Piggott, and M. Srokosz
Ocean Sci., 10, 323–343, https://doi.org/10.5194/os-10-323-2014, https://doi.org/10.5194/os-10-323-2014, 2014
Related subject area
Numerical Methods
Efficient multi-scale Gaussian process regression for massive remote sensing data with satGP v0.1.2
PDE-NetGen 1.0: from symbolic partial differential equation (PDE) representations of physical processes to trainable neural network representations
Simple algorithms to compute meridional overturning and barotropic streamfunctions on unstructured meshes
Development of a two-way-coupled ocean–wave model: assessment on a global NEMO(v3.6)–WW3(v6.02) coupled configuration
Surrogate-assisted Bayesian inversion for landscape and basin evolution models
Towards an objective assessment of climate multi-model ensembles – a case study: the Senegalo-Mauritanian upwelling region
QuickSampling v1.0: a robust and simplified pixel-based multiple-point simulation approach
A full Stokes subgrid scheme in two dimensions for simulation of grounding line migration in ice sheets using Elmer/ICE (v8.3)
On the numerical integration of the Lorenz-96 model, with scalar additive noise, for benchmark twin experiments
Semi-Lagrangian advection in the NEMO ocean model
Data assimilation of in situ and satellite remote sensing data to 3D hydrodynamic lake models: a case study using Delft3D-FLOW v4.03 and OpenDA v2.4
A one-dimensional model of turbulent flow through “urban” canopies (MLUCM v2.0): updates based on large-eddy simulation
Slate: extending Firedrake's domain-specific abstraction to hybridized solvers for geoscience and beyond
A model of Black Sea circulation with strait exchange (2008–2018)
The Land Variational Ensemble Data Assimilation Framework: LAVENDAR v1.0.0
Evaluation of lossless and lossy algorithms for the compression of scientific datasets in netCDF-4 or HDF5 files
Efficiency and robustness in Monte Carlo sampling for 3-D geophysical inversions with Obsidian v0.1.2: setting up for success
LSCE-FFNN-v1: a two-step neural network model for the reconstruction of surface ocean pCO2 over the global ocean
FESOM-C v.2: coastal dynamics on hybrid unstructured meshes
A new method (M3Fusion v1) for combining observations and multiple model output for an improved estimate of the global surface ozone distribution
DCMIP2016: the splitting supercell test case
FVM 1.0: a nonhydrostatic finite-volume dynamical core for the IFS
Particle swarm optimization for the estimation of surface complexation constants with the geochemical model PHREEQC-3.1.2
GemPy 1.0: open-source stochastic geological modeling and inversion
Weak-constraint inverse modeling using HYSPLIT-4 Lagrangian dispersion model and Cross-Appalachian Tracer Experiment (CAPTEX) observations – effect of including model uncertainties on source term estimation
Global sensitivity analysis of parameter uncertainty in landscape evolution models
Symmetric equations on the surface of a sphere as used by model GISS:IB
The VOLNA-OP2 tsunami code (version 1.5)
Bayesian earthquake dating and seismic hazard assessment using chlorine-36 measurements (BED v1)
Challenges and design choices for global weather and climate models based on machine learning
The multi-assumption architecture and testbed (MAAT v1.0): R code for generating ensembles with dynamic model structure and analysis of epistemic uncertainty from multiple sources
faSavageHutterFOAM 1.0: depth-integrated simulation of dense snow avalanches on natural terrain with OpenFOAM
Plume-SPH 1.0: a three-dimensional, dusty-gas volcanic plume model based on smoothed particle hydrodynamics
A conservative reconstruction scheme for the interpolation of extensive quantities in the Lagrangian particle dispersion model FLEXPART
Automated model optimisation using the Cylc workflow engine (Cyclops v1.0)
Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models
A fully consistent and conservative vertically adaptive coordinate system for SLIM 3D v0.4 with an application to the thermocline oscillations of Lake Tanganyika
Trajectory errors of different numerical integration schemes diagnosed with the MPTRAC advection module driven by ECMWF operational analyses
An axisymmetric non-hydrostatic model for double-diffusive water systems
Sensitivity analysis of a coupled hydrodynamic-vegetation model using the effectively subsampled quadratures method (ESQM v5.2)
A Bayesian posterior predictive framework for weighting ensemble regional climate models
JIGSAW-GEO (1.0): locally orthogonal staggered unstructured grid generation for general circulation modelling on the sphere
Evaluation of oceanic and atmospheric trajectory schemes in the TRACMASS trajectory model v6.0
Conservative interpolation between general spherical meshes
The compression–error trade-off for large gridded data sets
Improving the inter-hemispheric gradient of total column atmospheric CO2 and CH4 in simulations with the ECMWF semi-Lagrangian atmospheric global model
A computationally efficient depression-filling algorithm for digital elevation models, applied to proglacial lake drainage
P-CSI v1.0, an accelerated barotropic solver for the high-resolution ocean model component in the Community Earth System Model v2.0
A structure-exploiting numbering algorithm for finite elements on extruded meshes, and its performance evaluation in Firedrake
Bit Grooming: statistically accurate precision-preserving quantization with compression, evaluated in the netCDF Operators (NCO, v4.4.8+)
Jouni Susiluoto, Alessio Spantini, Heikki Haario, Teemu Härkönen, and Youssef Marzouk
Geosci. Model Dev., 13, 3439–3463, https://doi.org/10.5194/gmd-13-3439-2020, https://doi.org/10.5194/gmd-13-3439-2020, 2020
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We describe a new computer program that is able produce maps of carbon dioxide or other quantities based on data collected by satellites that orbit the Earth. When working with such data there is often too much data in one area and none in another. The program is able to describe the fields even when data is not available. To be able to do so, new computational methods were developed. The program is also able to describe how uncertain the estimated carbon dioxide or other fields are.
Olivier Pannekoucke and Ronan Fablet
Geosci. Model Dev., 13, 3373–3382, https://doi.org/10.5194/gmd-13-3373-2020, https://doi.org/10.5194/gmd-13-3373-2020, 2020
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Learning physics from data using a deep neural network is a challenge that requires an appropriate but unknown network architecture. The package introduced here helps to design an architecture by translating known physical equations into a network, which the experimenter completes to capture unknown physical processes. A test bed is introduced to illustrate how this learning allows us to focus on truly unknown physical processes in the hope of making better use of data and digital resources.
Dmitry Sidorenko, Sergey Danilov, Nikolay Koldunov, Patrick Scholz, and Qiang Wang
Geosci. Model Dev., 13, 3337–3345, https://doi.org/10.5194/gmd-13-3337-2020, https://doi.org/10.5194/gmd-13-3337-2020, 2020
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Computation of barotropic and meridional overturning streamfunctions for models formulated on unstructured meshes is commonly preceded by interpolation to a regular mesh. This operation destroys the original conservation, which can be then be artificially imposed to make the computation possible. An elementary method is proposed that avoids interpolation and preserves conservation in a strict model sense.
Xavier Couvelard, Florian Lemarié, Guillaume Samson, Jean-Luc Redelsperger, Fabrice Ardhuin, Rachid Benshila, and Gurvan Madec
Geosci. Model Dev., 13, 3067–3090, https://doi.org/10.5194/gmd-13-3067-2020, https://doi.org/10.5194/gmd-13-3067-2020, 2020
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Within the framework of the Copernicus Marine Environment Monitoring Service (CMEMS), an objective is to demonstrate the contribution of coupling the high-resolution analysis and forecasting system with a wave model. This study describes the necessary steps and discusses the various choices made for coupling a wave model and an oceanic model for global-scale applications.
Rohitash Chandra, Danial Azam, Arpit Kapoor, and R. Dietmar Müller
Geosci. Model Dev., 13, 2959–2979, https://doi.org/10.5194/gmd-13-2959-2020, https://doi.org/10.5194/gmd-13-2959-2020, 2020
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Forward landscape and sedimentary basin evolution models pose a major challenge in the development of efficient inference and optimization methods. Bayesian inference provides a methodology for estimation and uncertainty quantification of free model parameters. In this paper, we present an application of a surrogate-assisted Bayesian parallel tempering method where that surrogate mimics a landscape evolution model. We use the method for parameter estimation and uncertainty quantification.
Juliette Mignot, Carlos Mejia, Charles Sorror, Adama Sylla, Michel Crépon, and Sylvie Thiria
Geosci. Model Dev., 13, 2723–2742, https://doi.org/10.5194/gmd-13-2723-2020, https://doi.org/10.5194/gmd-13-2723-2020, 2020
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The most robust representation of climate is usually obtained by averaging a large number of simulations, thereby cancelling individual model errors. Here, we work towards an objective way of selecting the least biased models over a certain region, based on physical parameters. This statistical method based on a neural classifier and multi-correspondence analysis is illustrated here for the Senegalo-Mauritanian region, but it could potentially be developed for any other region or process.
Mathieu Gravey and Grégoire Mariethoz
Geosci. Model Dev., 13, 2611–2630, https://doi.org/10.5194/gmd-13-2611-2020, https://doi.org/10.5194/gmd-13-2611-2020, 2020
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Stochastic simulations are key tools to generate complex spatial structures uses as input in geoscientific models. In this paper, we present a new open-source tool that enables to simulate complex structures in a straightforward and efficient manner, based on analogues. The method is tested on a variety of use cases to demonstrate the generality of the framework.
Gong Cheng, Per Lötstedt, and Lina von Sydow
Geosci. Model Dev., 13, 2245–2258, https://doi.org/10.5194/gmd-13-2245-2020, https://doi.org/10.5194/gmd-13-2245-2020, 2020
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A full Stokes subgrid scheme in two dimensions for the grounding line migration problem is presented in the open-source finite-element framework Elmer/ICE. This method can achieve comparable results to previous research using a more than 20 times larger mesh size, which can be used to improve the efficiency in marine ice sheet simulations.
Colin Grudzien, Marc Bocquet, and Alberto Carrassi
Geosci. Model Dev., 13, 1903–1924, https://doi.org/10.5194/gmd-13-1903-2020, https://doi.org/10.5194/gmd-13-1903-2020, 2020
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All scales of a dynamical physical process cannot be resolved accurately in a multiscale, geophysical model. The behavior of unresolved scales of motion are often parametrized by a random process to emulate their effects on the dynamically resolved variables, and this results in a random–dynamical model. We study how the choice of a numerical discretization of such a system affects the model forecast and estimation statistics, when the random–dynamical model is unbiased in its parametrization.
Christopher Subich, Pierre Pellerin, Gregory Smith, and Frederic Dupont
Geosci. Model Dev. Discuss., https://doi.org/10.5194/gmd-2020-9, https://doi.org/10.5194/gmd-2020-9, 2020
Revised manuscript accepted for GMD
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This work presents a semi-Lagrangian advection module for the NEMO (OPA) ocean model. Semi-Lagrangian advection transports fluid properties (temperature, salinity, velocity) between timesteps by following fluid motion and interpolating from upstream locations of fluid parcels.
This method is commonly used in atmospheric models to extend timestep size, but it has not previously been applied to operational ocean models. Overcoming this required a new approach for solid boundaries (coastlines).
Theo Baracchini, Philip Y. Chu, Jonas Šukys, Gian Lieberherr, Stefan Wunderle, Alfred Wüest, and Damien Bouffard
Geosci. Model Dev., 13, 1267–1284, https://doi.org/10.5194/gmd-13-1267-2020, https://doi.org/10.5194/gmd-13-1267-2020, 2020
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Lake physical processes occur at a wide range of spatiotemporal scales. 3D hydrodynamic lake models are the only information source capable of solving those scales; however, they still need observations to be calibrated and to constrain their uncertainties. The optimal combination of a 3D hydrodynamic model, in situ measurements, and remote sensing observations is achieved through data assimilation. Here we present a complete data assimilation experiment for lakes using open-source tools.
Negin Nazarian, E. Scott Krayenhoff, and Alberto Martilli
Geosci. Model Dev., 13, 937–953, https://doi.org/10.5194/gmd-13-937-2020, https://doi.org/10.5194/gmd-13-937-2020, 2020
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We present an update to the Multi-Layer Urban Canopy Model by revisiting the parameterization of length scales based on high-resolution and validated large-eddy simulations. Additionally, the inclusion of dispersive fluxes in the parameterization schemes are also discussed. The results demonstrate that updated parameterizations improve the accuracy of the vertical exchange of momentum in the street canyon.
Thomas H. Gibson, Lawrence Mitchell, David A. Ham, and Colin J. Cotter
Geosci. Model Dev., 13, 735–761, https://doi.org/10.5194/gmd-13-735-2020, https://doi.org/10.5194/gmd-13-735-2020, 2020
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Galerkin finite element discretizations for atmospheric modeling often require the solution of ill-conditioned, saddle point equations which can be efficiently solved using a hybridized method. By extending Firedrake's domain-specific abstraction, we provide a mechanism for the rapid implementation of hybridization methods for a wide class of methods. In this paper, we show that hybridization is an effective alternative to traditional block solvers for simulating geophysical flows.
Murat Gunduz, Emin Özsoy, and Robinson Hordoir
Geosci. Model Dev., 13, 121–138, https://doi.org/10.5194/gmd-13-121-2020, https://doi.org/10.5194/gmd-13-121-2020, 2020
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The Bosphorus exchange is of critical importance for hydrodynamics and hydroclimatology of the Black Sea. In this study, we report on the development of a medium-resolution circulation model of the Black Sea, making use of surface atmospheric forcing with high space and time resolution, climatic river fluxes and strait exchange, enabled by adding elementary details of strait and coastal topography and seasonal hydrology specified in an artificial box on the Marmara Sea side.
Ewan Pinnington, Tristan Quaife, Amos Lawless, Karina Williams, Tim Arkebauer, and Dave Scoby
Geosci. Model Dev., 13, 55–69, https://doi.org/10.5194/gmd-13-55-2020, https://doi.org/10.5194/gmd-13-55-2020, 2020
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We present LAVENDAR, a mathematical method for combining observations with models of the terrestrial environment. Here we use it to improve estimates of crop growth in the UK Met Office land surface model. However, the method is model agnostic, requires no modification to the underlying code and can be applied to any part of the model. In the example application we improve estimates of maize yield by 74 % by assimilating observations of leaf area, crop height and photosynthesis.
Xavier Delaunay, Aurélie Courtois, and Flavien Gouillon
Geosci. Model Dev., 12, 4099–4113, https://doi.org/10.5194/gmd-12-4099-2019, https://doi.org/10.5194/gmd-12-4099-2019, 2019
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This research aimed at finding a compression method suitable for the ground processing of CFOSAT and SWOT satellite datasets. Lossless algorithms did not allow enough compression. That is why we began studying lossy alternatives. This work introduces the digit rounding algorithm which reduces the volume of scientific datasets keeping only the significant digits in each sample value. The number of digits kept is relative to each sample so that both small and high values are similarly preserved.
Richard Scalzo, David Kohn, Hugo Olierook, Gregory Houseman, Rohitash Chandra, Mark Girolami, and Sally Cripps
Geosci. Model Dev., 12, 2941–2960, https://doi.org/10.5194/gmd-12-2941-2019, https://doi.org/10.5194/gmd-12-2941-2019, 2019
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Producing 3-D models of structures under the Earth's surface based on sensor data is a key problem in geophysics (for example, in mining exploration). There may be multiple models that explain the data well. We use the open-source Obsidian software to look at the efficiency of different methods for exploring the model space and attaching probabilities to models, leading to less biased results and a better idea of how sensor data interact with geological assumptions.
Anna Denvil-Sommer, Marion Gehlen, Mathieu Vrac, and Carlos Mejia
Geosci. Model Dev., 12, 2091–2105, https://doi.org/10.5194/gmd-12-2091-2019, https://doi.org/10.5194/gmd-12-2091-2019, 2019
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This work is dedicated to a new model that reconstructs the surface ocean partial pressure of carbon dioxide (pCO2) over the global ocean on a monthly 1°×1° grid. The model is based on a feed-forward neural network and represents the nonlinear relationships between pCO2 and the ocean drivers. Reconstructed pCO2 has a satisfying accuracy compared to independent observational data and shows a good agreement in seasonal and interannual variability with three existing mapping methods.
Alexey Androsov, Vera Fofonova, Ivan Kuznetsov, Sergey Danilov, Natalja Rakowsky, Sven Harig, Holger Brix, and Karen Helen Wiltshire
Geosci. Model Dev., 12, 1009–1028, https://doi.org/10.5194/gmd-12-1009-2019, https://doi.org/10.5194/gmd-12-1009-2019, 2019
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We present a description of a coastal ocean circulation model designed to work on variable-resolution meshes made of triangular and quadrilateral cells. This hybrid mesh functionality allows for higher numerical performance and less dissipative solutions.
Kai-Lan Chang, Owen R. Cooper, J. Jason West, Marc L. Serre, Martin G. Schultz, Meiyun Lin, Virginie Marécal, Béatrice Josse, Makoto Deushi, Kengo Sudo, Junhua Liu, and Christoph A. Keller
Geosci. Model Dev., 12, 955–978, https://doi.org/10.5194/gmd-12-955-2019, https://doi.org/10.5194/gmd-12-955-2019, 2019
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We developed a new method for combining surface ozone observations from thousands of monitoring sites worldwide with the output from multiple atmospheric chemistry models. The result is a global surface ozone distribution with greater accuracy than any single model can achieve. We focused on an ozone metric relevant to human mortality caused by long-term ozone exposure. Our method can be applied to studies that quantify the impacts of ozone on human health and mortality.
Colin M. Zarzycki, Christiane Jablonowski, James Kent, Peter H. Lauritzen, Ramachandran Nair, Kevin A. Reed, Paul A. Ullrich, David M. Hall, Mark A. Taylor, Don Dazlich, Ross Heikes, Celal Konor, David Randall, Xi Chen, Lucas Harris, Marco Giorgetta, Daniel Reinert, Christian Kühnlein, Robert Walko, Vivian Lee, Abdessamad Qaddouri, Monique Tanguay, Hiroaki Miura, Tomoki Ohno, Ryuji Yoshida, Sang-Hun Park, Joseph B. Klemp, and William C. Skamarock
Geosci. Model Dev., 12, 879–892, https://doi.org/10.5194/gmd-12-879-2019, https://doi.org/10.5194/gmd-12-879-2019, 2019
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We summarize the results of the Dynamical Core Model Intercomparison Project's idealized supercell test case. Supercells are storm-scale weather phenomena that are a key target for next-generation, non-hydrostatic weather prediction models. We show that the dynamical cores of most global numerical models converge between approximately 1 and 0.5 km grid spacing for this test, although differences in final solution exist, particularly due to differing grid discretizations and numerical diffusion.
Christian Kühnlein, Willem Deconinck, Rupert Klein, Sylvie Malardel, Zbigniew P. Piotrowski, Piotr K. Smolarkiewicz, Joanna Szmelter, and Nils P. Wedi
Geosci. Model Dev., 12, 651–676, https://doi.org/10.5194/gmd-12-651-2019, https://doi.org/10.5194/gmd-12-651-2019, 2019
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We present a novel finite-volume dynamical core formulation considered for future numerical weather prediction at ECMWF. We demonstrate that this formulation can be competitive in terms of solution quality and computational efficiency to the proven spectral-transform dynamical core formulation currently operational at ECMWF, while providing a local, more scalable discretization, conservative and monotone advective transport, and flexible meshes.
Ramadan Abdelaziz, Broder J. Merkel, Mauricio Zambrano-Bigiarini, and Sreejesh Nair
Geosci. Model Dev., 12, 167–177, https://doi.org/10.5194/gmd-12-167-2019, https://doi.org/10.5194/gmd-12-167-2019, 2019
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The paper presents a robust tool to estimate the thermodynamic surface complexation parameter for the sorption of uranium(VI) onto quartz surfaces. The optimization package hydroPSO R is coupled with the geochemical speciation code PHREEQC. hydroPSO used the m parameter estimation tool for geochemical modeling with PHREEQC. Coupled hydroPSO with PHREEQC proved to be a robust tool to estimate surface complexation constants for uranium(VI) species on quartz.
Miguel de la Varga, Alexander Schaaf, and Florian Wellmann
Geosci. Model Dev., 12, 1–32, https://doi.org/10.5194/gmd-12-1-2019, https://doi.org/10.5194/gmd-12-1-2019, 2019
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GemPy is an open-source Python-based 3-D structural geological modeling software, which allows the implicit (i.e. automatic) creation of complex geological models from interface and orientation data. GemPy is implemented in the programming language Python, making use of a highly efficient underlying library, Theano, for efficient code generation that performs automatic differentiation. This enables the link to probabilistic machine-learning and Bayesian inference frameworks.
Tianfeng Chai, Ariel Stein, and Fong Ngan
Geosci. Model Dev., 11, 5135–5148, https://doi.org/10.5194/gmd-11-5135-2018, https://doi.org/10.5194/gmd-11-5135-2018, 2018
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While model predictions depend on release parameters, model uncertainties in inverse modeling should also vary with the source terms. In this paper, model uncertainties that will change with the source terms are introduced in a weak-constraint inverse modeling system. Tests using HYSPLIT model and CAPTEX observations show that adding such model uncertainty terms improves release rate estimates. A cost function normalization scheme introduced to avoid spurious solutions proves to be effective.
Christopher J. Skinner, Tom J. Coulthard, Wolfgang Schwanghart, Marco J. Van De Wiel, and Greg Hancock
Geosci. Model Dev., 11, 4873–4888, https://doi.org/10.5194/gmd-11-4873-2018, https://doi.org/10.5194/gmd-11-4873-2018, 2018
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Landscape evolution models are computer models used to understand how the Earth’s surface changes over time. Although designed to look at broad changes over very long time periods, they could potentially be used to predict smaller changes over shorter periods. However, to do this we need to better understand how the models respond to changes in their set-up – i.e. their behaviour. This work presents a method which can be applied to these models in order to better understand their behaviour.
Gary L. Russell, David H. Rind, and Jeffrey Jonas
Geosci. Model Dev., 11, 4637–4656, https://doi.org/10.5194/gmd-11-4637-2018, https://doi.org/10.5194/gmd-11-4637-2018, 2018
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This paper presents the Fortran 90 source code for one-layer model GISS:IB on an icosahedral grid. The model solves the shallow water equations on the sphere using three symmetric horizontal components of angular momentum instead of velocity. One-layer shallow water models are a basic building block used in complex global weather and climate models.
Istvan Z. Reguly, Daniel Giles, Devaraj Gopinathan, Laure Quivy, Joakim H. Beck, Michael B. Giles, Serge Guillas, and Frederic Dias
Geosci. Model Dev., 11, 4621–4635, https://doi.org/10.5194/gmd-11-4621-2018, https://doi.org/10.5194/gmd-11-4621-2018, 2018
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We present the VOLNA-OP2 tsunami simulation code, built on the OP2 library. It is unique among such solvers in its support for several high-performance computing platforms: CPUs, the Intel Xeon Phi, and GPUs. This is achieved in a way that the scientific code is kept separate from various parallel implementations, enabling easy maintainability. Scalability and efficiency are demonstrated on three supercomputers built with CPUs, Xeon Phi's, and GPUs.
Joakim Beck, Sören Wolfers, and Gerald P. Roberts
Geosci. Model Dev., 11, 4383–4397, https://doi.org/10.5194/gmd-11-4383-2018, https://doi.org/10.5194/gmd-11-4383-2018, 2018
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Seismic hazard assessment requires records of earthquake recurrence with many slip events. Current data from paleoseismology on individual faults are sparse and do not provide stable estimates of earthquake recurrence. We propose a statistical model-based method to study timings of earthquakes over the past few millennia. The results agree with historical earthquakes for faults in the Italian Apennines, and can aid future studies of fault interactions over multiple earthquake cycles.
Peter D. Dueben and Peter Bauer
Geosci. Model Dev., 11, 3999–4009, https://doi.org/10.5194/gmd-11-3999-2018, https://doi.org/10.5194/gmd-11-3999-2018, 2018
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We discuss the question of whether weather forecast models that are based on deep learning and trained on atmospheric data can compete with conventional weather and climate models that are based on physical principles and the basic equations of motion. We discuss the question in the context of global weather forecasts. A toy model for global weather predictions will be presented and used to identify challenges and fundamental design choices for a forecast system based on neural networks.
Anthony P. Walker, Ming Ye, Dan Lu, Martin G. De Kauwe, Lianhong Gu, Belinda E. Medlyn, Alistair Rogers, and Shawn P. Serbin
Geosci. Model Dev., 11, 3159–3185, https://doi.org/10.5194/gmd-11-3159-2018, https://doi.org/10.5194/gmd-11-3159-2018, 2018
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Large uncertainty is inherent in model predictions due to imperfect knowledge of how to describe the processes that a model is intended to represent. Yet methods to quantify and evaluate this model hypothesis uncertainty are limited. To address this, the multi-assumption architecture and testbed (MAAT) automates the generation of all possible models by combining multiple representations of multiple processes. MAAT provides a formal framework for quantification of model hypothesis uncertainty.
Matthias Rauter, Andreas Kofler, Andreas Huber, and Wolfgang Fellin
Geosci. Model Dev., 11, 2923–2939, https://doi.org/10.5194/gmd-11-2923-2018, https://doi.org/10.5194/gmd-11-2923-2018, 2018
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We present a physical model for the simulation of dense snow avalanches and other gravitational mass flows. The model is solved with OpenFOAM, a popular open-source toolkit for the numerical solution of partial differential equations. The solver has a modular design and is easy to extend. Therefore, it represents an ideal platform for implementing and testing new model approaches.
Zhixuan Cao, Abani Patra, Marcus Bursik, E. Bruce Pitman, and Matthew Jones
Geosci. Model Dev., 11, 2691–2715, https://doi.org/10.5194/gmd-11-2691-2018, https://doi.org/10.5194/gmd-11-2691-2018, 2018
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Plume-SPH provides the first particle-based simulation of volcanic plumes. Smooth particle hydrodynamics used here has several advantages over mesh-based methods for multiphase free boundary flows like volcanic plumes. This tool will provide more accurate eruption source terms to users of volcanic ash transport and dispersion models, greatly improving volcanic ash forecasts. The Plume-SPH code incorporates several newly developed techniques in SPH-needed multiphase compressible turbulent flow.
Sabine Hittmeir, Anne Philipp, and Petra Seibert
Geosci. Model Dev., 11, 2503–2523, https://doi.org/10.5194/gmd-11-2503-2018, https://doi.org/10.5194/gmd-11-2503-2018, 2018
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Model output of quantities such as precipitation usually represents integrals, for example sums over 3 h. It is not trivial to interpolate a time series of such integral values to instantaneous precipitation rates conserving the integral values. A piecewise linear reconstruction is presented which fulfils the conservation, is non-negative, and is continuous at interval boundaries. It will be used in the FLEXPART Lagrangian dispersion model but has many other possible applications.
Richard M. Gorman and Hilary J. Oliver
Geosci. Model Dev., 11, 2153–2173, https://doi.org/10.5194/gmd-11-2153-2018, https://doi.org/10.5194/gmd-11-2153-2018, 2018
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We describe an optimisation suite ("Cyclops") that can be used to apply a selection of nonlinear optimisation algorithms to "tune" the parameters of a geophysical model. Based on the Cylc workflow engine, Cyclops can be used to calibrate any modelling system that has itself been implemented as a (separate) Cylc model suite, provided it includes computation and output of the desired scalar cost function.
David J. Gardner, Jorge E. Guerra, François P. Hamon, Daniel R. Reynolds, Paul A. Ullrich, and Carol S. Woodward
Geosci. Model Dev., 11, 1497–1515, https://doi.org/10.5194/gmd-11-1497-2018, https://doi.org/10.5194/gmd-11-1497-2018, 2018
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As the computational power of supercomputing systems increases, and models for simulating the fluid flow of the Earth's atmosphere operate at higher resolutions, new approaches for advancing these models in time will be necessary. In order to produce the best possible result in the least amount of time, we evaluate a number of splittings, methods, and solvers on two test cases. Based on these results, we identify the most accurate and efficient approaches for consideration in production models.
Philippe Delandmeter, Jonathan Lambrechts, Vincent Legat, Valentin Vallaeys, Jaya Naithani, Wim Thiery, Jean-François Remacle, and Eric Deleersnijder
Geosci. Model Dev., 11, 1161–1179, https://doi.org/10.5194/gmd-11-1161-2018, https://doi.org/10.5194/gmd-11-1161-2018, 2018
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The discontinuous Galerkin (DG) finite element method is well suited for the modelling of three-dimensional flows exhibiting strong density gradients. Here, a vertical adaptive mesh method is developed for DG finite element methods and implemented into SLIM 3D. This technique increases drastically the accuracy of simulations including strong stratification, without affecting the simulation cost. SLIM 3D is then used to simulate the thermocline oscillations of Lake Tanganyika.
Thomas Rößler, Olaf Stein, Yi Heng, Paul Baumeister, and Lars Hoffmann
Geosci. Model Dev., 11, 575–592, https://doi.org/10.5194/gmd-11-575-2018, https://doi.org/10.5194/gmd-11-575-2018, 2018
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In this study, we performed an assessment of truncation errors and computational efficiency of trajectory calculations using six popular numerical integration schemes of the Runge–Kutta family. More than 5000 transport simulations for different seasons and regions of the free troposphere and stratosphere were conducted, driven by the latest version of ECMWF operational analyses and forecasts. The study provides guidelines to achieve the most accurate and efficient trajectory calculations.
Koen Hilgersom, Marcel Zijlema, and Nick van de Giesen
Geosci. Model Dev., 11, 521–540, https://doi.org/10.5194/gmd-11-521-2018, https://doi.org/10.5194/gmd-11-521-2018, 2018
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This study models the local inflow of groundwater at the bottom of a stream with large density gradients between the groundwater and surface water. Modelling salt and heat transport in a water body is very challenging, as it requires large computation times. Due to the circular local groundwater inflow and a negligible stream discharge, we assume axisymmetry around the inflow, which is easily implemented in an existing model, largely reduces the computation times, and still performs accurately.
Tarandeep S. Kalra, Alfredo Aretxabaleta, Pranay Seshadri, Neil K. Ganju, and Alexis Beudin
Geosci. Model Dev., 10, 4511–4523, https://doi.org/10.5194/gmd-10-4511-2017, https://doi.org/10.5194/gmd-10-4511-2017, 2017
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The paper details the sensitivity of vegetation properties that are input to a 3-D submerged aquatic vegetation model within a coupled hydrodynamics and wave model. It describes a novel strategy to perform sensitivity analysis efficiently by using a combination of the Effective Quadratures method and Sobol' indices. This method reduces the number of simulations to understand the sensitivity patterns and also quantifies the amount of sensitivity.
Yanan Fan, Roman Olson, and Jason P. Evans
Geosci. Model Dev., 10, 2321–2332, https://doi.org/10.5194/gmd-10-2321-2017, https://doi.org/10.5194/gmd-10-2321-2017, 2017
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We develop a novel and principled Bayesian statistical approach to computing model weights in climate change projection ensembles of regional climate models. The approach accounts for uncertainty in model bias, trend and internal variability. The weights are easily interpretable and the ensemble weighted models are shown to provide the correct coverage and improve upon existing methods in terms of providing narrower confidence intervals for climate change projections.
Darren Engwirda
Geosci. Model Dev., 10, 2117–2140, https://doi.org/10.5194/gmd-10-2117-2017, https://doi.org/10.5194/gmd-10-2117-2017, 2017
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A new algorithm for the generation of very high-quality staggered unstructured grids for multi-resolution ocean and atmospheric modelling is described. Through use of unstructured triangulation and grid-optimisation techniques, it is shown that meshes satisfying a number of important a priori grid-quality constraints can be constructed. This new algorithm is expected to be of interest to both developers and users of unstructured general circulation models.
Kristofer Döös, Bror Jönsson, and Joakim Kjellsson
Geosci. Model Dev., 10, 1733–1749, https://doi.org/10.5194/gmd-10-1733-2017, https://doi.org/10.5194/gmd-10-1733-2017, 2017
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The TRACMASS trajectory code with corresponding schemes has been improved and become more accurate and user friendly over the years. An outcome of the present study is that we strongly recommend the use of the
time-dependentTRACMASS scheme. We would also like to dissuade the use of the more primitive
stepwise-stationaryscheme, since the velocity fields remain stationary for longer periods, creating abrupt discontinuities in the velocity fields and yielding inaccurate solutions.
Evaggelos Kritsikis, Matthias Aechtner, Yann Meurdesoif, and Thomas Dubos
Geosci. Model Dev., 10, 425–431, https://doi.org/10.5194/gmd-10-425-2017, https://doi.org/10.5194/gmd-10-425-2017, 2017
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This paper describes conservative interpolation on the sphere. A function is computed on one mesh from its values on another mesh so that the total mass is preserved, which is vital for climate modeling, and for second-order accuracy. This is done through a common refinement of the meshes, built in quasilinear time by tree sorting the mesh cells. It can be built into climate models for flexible I/O or coupling. Examples of commonly used meshes are given.
Jeremy D. Silver and Charles S. Zender
Geosci. Model Dev., 10, 413–423, https://doi.org/10.5194/gmd-10-413-2017, https://doi.org/10.5194/gmd-10-413-2017, 2017
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Many modern scientific research projects generate large amounts of data. Storage space is valuable and may be limited; hence compression is vital. We tested different compression methods for large gridded data sets, assessing the space savings and the amount of precision lost. We found a general trade-off between precision and compression, with compression well-predicted by the entropy of the data set. A method introduced here proved to be a competitive archive format for gridded numerical data.
Anna Agusti-Panareda, Michail Diamantakis, Victor Bayona, Friedrich Klappenbach, and Andre Butz
Geosci. Model Dev., 10, 1–18, https://doi.org/10.5194/gmd-10-1-2017, https://doi.org/10.5194/gmd-10-1-2017, 2017
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This paper demonstrates how important mass fixers can be in the simulation of long-lived greenhouse gases using transport models based on the highly efficient semi-Lagrangian advection scheme. Mass fixers can have a large impact on the representation of the inter-hemispheric gradient of CO2 and CH4, a crucial feature of their distribution. This work is relevant for models simulating atmospheric composition that use semi-Lagrangian advection schemes both for climate and air quality applications.
Constantijn J. Berends and Roderik S. W. van de Wal
Geosci. Model Dev., 9, 4451–4460, https://doi.org/10.5194/gmd-9-4451-2016, https://doi.org/10.5194/gmd-9-4451-2016, 2016
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This paper describes several improvements to the so-called "flood-fill algorithm" – a computer program widely known for its use in the "paint bucket" tool in several drawing programs such as MS Paint. However, it can also be used to determine the extent and depth of lakes in a topography map, which is useful in hydrology and climatology. In such cases, the default algorithm can be too slow to be of much use. Our improvements can make it up to 100 times faster, making it much more feasible.
Xiaomeng Huang, Qiang Tang, Yuheng Tseng, Yong Hu, Allison H. Baker, Frank O. Bryan, John Dennis, Haohuan Fu, and Guangwen Yang
Geosci. Model Dev., 9, 4209–4225, https://doi.org/10.5194/gmd-9-4209-2016, https://doi.org/10.5194/gmd-9-4209-2016, 2016
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Refining model resolution is helpful for representing climate processes. With resolution increasing, the computational cost will become very huge. We designed a new solver to accelerate the high-resolution ocean simulation so as to reduce the computational cost and make full use of the computing resource of supercomputers. Our results show that the simulation speed of the improved ocean component with 0.1° resolution achieves 10.5 simulated years per wall-clock day on 16875 CPU cores.
Gheorghe-Teodor Bercea, Andrew T. T. McRae, David A. Ham, Lawrence Mitchell, Florian Rathgeber, Luigi Nardi, Fabio Luporini, and Paul H. J. Kelly
Geosci. Model Dev., 9, 3803–3815, https://doi.org/10.5194/gmd-9-3803-2016, https://doi.org/10.5194/gmd-9-3803-2016, 2016
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Unstructured meshes offer flexibility but are perceived as slow. Some applications, including atmosphere or ocean simulations, admit an extruded mesh: the horizontal mesh may be unstructured, but the vertical dimension can be traversed in a structured way. By extending the Firedrake automated simulation framework to this case, we show that an extruded mesh can be traversed as fast as a structured mesh. This paves the way for highly efficient unstructured mesh models of the ocean and atmosphere.
Charles S. Zender
Geosci. Model Dev., 9, 3199–3211, https://doi.org/10.5194/gmd-9-3199-2016, https://doi.org/10.5194/gmd-9-3199-2016, 2016
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We introduce Bit Grooming, a lossy compression algorithm that removes the bloat due to false precision, those bits and bytes beyond the meaningful precision of the data. Bit Grooming is statistically unbiased, applies to all floating-point numbers, and is easy to use. Bit Grooming reduces data storage requirements by 25–80 %. Unlike its best-known competitor Linear Packing, Bit Grooming imposes no software overhead on users, and guarantees its precision throughout the whole floating-point range.
Cited articles
Alnæs, M. S., Logg, A., Ø}lgaard, K. B., Rognes, M. E., and Wells, G. N.: {Unified Form Language: A domain-specific language for weak formulations of partial differential equations, ACM Trans. Math. Softw., 40, 9, https://doi.org/10.1145/2566630, 2014.
Arnold, D. N.: An Interior Penalty Finite Element Method with Discontinuous Elements, SIAM J. Num. Analysis, 19, 742–760, https://doi.org/10.1137/0719052, 1982.
Balay, S., Abhyankar, S., Adams, M., Brown, J., Brune, P., Buschelman, K., Eijkhout, V., Gropp, W., Kaushik, D., Knepley, M., Curfman McInnes, L., Rupp, K., Smith, B., and Zhang, H.: PETSc Users Manual, Tech. Rep. Revision 3.5, Argonne National Laboratory, 2014.
Bangerth, W., Hartmann, R., and Kanschat, G.: deal.II–A general-purpose object-oriented finite element library, ACM Trans. Math. Softw., 33, 24, https://doi.org/10.1145/1268776.1268779, 2007.
Bassi, F. and Rebay, S.: A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier-Stokes Equations, J. Comput. Phys., 131, 267–279, https://doi.org/10.1006/jcph.1996.5572, 1997.
Bermudez, A. and Vazquez, M. E.: Upwind methods for hyperbolic conservation laws with source terms, Comput. Fluids, 23, 1049–1071, https://doi.org/10.1016/0045-7930(94)90004-3, 1994.
Brown, J., Knepley, M. G., May, D. A., McInnes, L. C., and Smith, B. F.: Composable Linear Solvers for Multiphysics, in: Proceeedings of the 11th International Symposium on Parallel and Distributed Computing (ISPDC 2012), 55–62, https://doi.org/10.1109/ISPDC.2012.16, 2012.
Capart, H. and Young, D. L.: Formation of a jump by the dam-break wave over a granular bed, J. Fluid Mech., 372, 165–187, https://doi.org/10.1017/S0022112098002250, 1998.
Deardorff, J.: A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers, J. Fluid Mech., 41, 453–480, https://doi.org/10.1017/S0022112070000691, 1970.
Deardorff, J. W.: On the magnitude of the subgrid scale eddy coefficient, J. Comput. Phys., 7, 120–133, https://doi.org/10.1016/0021-9991(71)90053-2, 1971.
Dedner, A., Klöfkorn, R., Nolte, M., and Ohlberger, M.: A generic interface for parallel and adaptive discretization schemes: Abstraction principles and the DUNE-FEM module, Computing, 90, 165–196, https://doi.org/10.1007/s00607-010-0110-3, 2010.
Divett, T., Vennell, R., and Stevens, C.: Optimization of multiple turbine arrays in a channel with tidally reversing flow by numerical modelling with adaptive mesh, Philos. Trans. Roy. Soc. A, 371, 1471–2962, https://doi.org/10.1098/rsta.2012.0251, 2013.
Elman, H., Howle, V. E., Shadid, J., Shuttleworth, R., and Tuminaro, R.: A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations, J. Computat. Phys., 227, 1790–1808, https://doi.org/10.1098/rsta.2012.0251, 2008.
Elman, H. C., Silvester, D. J., and Wathen, A. J.: Finite Elements and Fast Iterative Solvers: with applications in incompressible fluid dynamics, Oxford University Press, 2005.
Farrell, P. E., Piggott, M. D., Gorman, G. J., Ham, D. A., Wilson, C. R., and Bond, T. M.: Automated continuous verification for numerical simulation, Geosci. Model Dev., 4, 435–449, https://doi.org/10.5194/gmd-4-435-2011, 2011.
Farrell, P. E., Ham, D. A., Funke, S. W., and Rognes, M. E.: Automated derivation of the adjoint of high-level transient finite element programs, SIAM J. Scientific Comput., 35, C369–C393, https://doi.org/10.1137/120873558, 2013.
Flather, R. A.: A tidal model of the northwest European continental shelf, Memoires de la Société Royale des Sciences de Liège, 10, 141–164, 1976.
Funke, S. W. and Farrell, P. E.:A framework for automated PDE-constrained optimisation, arXiv:1302.3894, submitted, 2013.
Funke, S. W., Farrell, P. E., and Piggott, M. D.: Tidal turbine array optimisation using the adjoint approach, Renewable Energy, 63, 658–673, https://doi.org/10.1016/j.renene.2013.09.031, 2014.
Geuzaine, C. and Remacle, J.-F.: Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities, Int. J. Num. Methods Eng., 79, 1309–1331, https://doi.org/10.1002/nme.2579, 2009.
Ham, D. A., Farrell, P. E., Gorman, G. J., Maddison, J. R., Wilson, C. R., Kramer, S. C., Shipton, J., Collins, G. S., Cotter, C. J., and Piggott, M. D.: Spud 1.0: generalising and automating the user interfaces of scientific computer models, Geosci. Model Dev., 2, 33–42, https://doi.org/10.5194/gmd-2-33-2009, 2009.
Hecht, F.: New development in FreeFem++, J. Num. Math., 20, 251–265, https://doi.org/10.1515/jnum-2012-0013, 2012.
Hill, J., Collins, G. S., Avdis, A., Kramer, S. C., and Piggott, M. D.: How does multiscale modelling and inclusion of realistic palaeobathymetry affect numerical simulation of the Storegga Slide tsunami?, Ocean Model., 83, 11–25, https://doi.org/10.1016/j.ocemod.2014.08.007, 2014.
Katz, R. F., Knepley, M. G., Smith, B., Spiegelman, M., and Coon, E. T.: Numerical simulation of geodynamic processes with the Portable Extensible Toolkit for Scientific Computation, Phys. Earth Planet. Int., 163, 52–68, https://doi.org/10.1016/j.pepi.2007.04.016, 2007.
Kirby, R. C.: Algorithm 839: FIAT, a New Paradigm for Computing Finite Element Basis Functions, ACM Trans. Math. Softw., 30, 502–516, https://doi.org/10.1145/1039813.1039820, 2004.
Kirby, R. C. and Logg, A.: A compiler for variational forms, ACM Trans. Math. Softw., 32, 417–444, https://doi.org/10.1145/1163641.1163644, 2006.
Kramer, S. C., Piggott, M. D., Hill, J., Kregting, L., Pritchard, D., and Elsaesser, B.: The modelling of tidal turbine farms using multi-scale, unstructured mesh models, in: Proceedings of the 2nd International Conference on Environmental Interactions of Marine Renewable Energy Technologies, (EIMR2014), Stornoway, Scotland, 2014.
Liang, S.-J., Tang, J.-H., and Wu, M.-S.: Solution of shallow-water equations using least-squares finite-element method, Acta Mechanica Sinica, 24, 523–532, https://doi.org/10.1007/s10409-008-0151-4, 2008.
Lloyd, P. M. and Stansby, P. K.: Shallow-Water Flow around Model Conical Islands of Small Side Slope. II: Submerged, J. Hydraul. Eng., 123, 1068–1077, https://doi.org/10.1061/(ASCE)0733-9429(1997)123:12(1068), 1997.
Logg, A. and Wells, G. N.: DOLFIN: Automated finite element computing, ACM Trans. Math. Softw., 37, 20, https://doi.org/10.1145/1731022.1731030, 2010.
Logg, A., Mardal, K.-A., Wells, G. N., Alnæs, M. S., Clark, S. R., Davidson, D. B., Vilela de Abreu, R., Degirmenci, C., Haga, J. B., Hake, J., Hoffman, J., Jansson, J., Jansson, N., Johnson, C., Kirby, R. C., Knepley, M. G., Langtangen, H. P., Lezar, E., Linge, S., Logg, A., Lopes, N. D., Løvgren, A. E., Mardal, K.-A., Mortensen, M., Narayanan, H., Nazarov, M., Nikbakht, M., Pereira, P. J. S., Ring, J., Rognes, M. E., Schroll, H. J., Scott, L. R., Selim, K., Støle-Hentschel, S., Terrel, A. R., Trabucho, L., Valen-Sendstad, K., Vynnytska, L., Wells, G. N., Wilbers, I. M., and Ølgaard, K. B.: Automated Solution of Differential Equations by the Finite Element Method, Springer, https://doi.org/10.1007/978-3-642-23099-8, 2012.
Luporini, F., Varbanescu, A. L., Rathgeber, F., Bercea, G.-T., Ramanujam, J., Ham, D. A., and Kelly, P. H. J.: Cross-Loop Optimization of Arithmetic Intensity for Finite Element Local Assembly, ACM Trans. Archi. Code Optimization, 11, 57, https://doi.org/10.1145/2687415, 2015.
Lyn, D. A. and Rodi, W.: The flapping shear layer formed by flow separation from the forward corner of a square cylinder, J. Fluid Mech., 267, 353–376, https://doi.org/10.1017/S0022112094001217, 1994.
Lyn, D. A., Einav, S., Rodi, W., and Park, J.-H.: A laser-Doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder, J. Fluid Mech., 304, 285–319, https://doi.org/10.1017/S0022112095004435, 1995.
Maddison, J. R. and Farrell, P. E.: Rapid development and adjoining of transient finite element models, Comput. Meth. Appl. Mech. Eng., 276, 95–121, https://doi.org/10.1016/j.cma.2014.03.010, 2014.
Markall, G. R., Rathgeber, F., Mitchell, L., Loriant, N., Bertolli, C., Ham, D. A., and Kelly, P. H.: Performance-Portable Finite Element Assembly Using PyOP2 and FEniCS, in: 28th International Supercomputing Conference, ISC, Proceedings, vol. 7905 of Lecture Notes in Computer Science, 279–289, Springer, 2013.
Martin-Short, R., Hill, J., Kramer, S. C., Avdis, A., Allison, P. A., and Piggott, M. D.: Tidal resource extraction in the Pentland Firth, UK: potential impacts on flow regime and sediment transport in the Inner Sound of Stroma, Renewable Energy, 76, 596–607, https://doi.org/10.1016/j.renene.2014.11.079, 2015.
Mingham, C. G. and Causon, D. M.: High-Resolution Finite-Volume Method for Shallow Water Flows, J. Hydraul. Eng., 124, 605–614, https://doi.org/10.1061/(ASCE)0733-9429(1998)124:6(605), 1998.
Mortensen, M., Langtangen, H. P., and Wells, G. N.: A FEniCS-based programming framework for modeling turbulent flow by the Reynolds-averaged Navier-Stokes equations, Adv. Water Resour., 34, 1082–1101, https://doi.org/10.1016/j.advwatres.2011.02.013, 2011.
Ølgaard, K. B. and Wells, G. N.: Optimisations for quadrature representations of finite element tensors through automated code generation, ACM Trans. Math. Softw., 37, 8, https://doi.org/10.1145/1644001.1644009, 2010.
OpenFOAM: OpenFOAM User Guide, Version 2.3.1, 2014.
Piggott, M. D., Gorman, G. J., Pain, C. C., Allison, P. A., Candy, A. S., Martin, B. T., and Wells, M. R.: A new computational framework for multi-scale ocean modelling based on adapting unstructured meshes, Int. J. Num. Methods Fluids, 56, 1003–1015, https://doi.org/10.1002/fld.1663, 2008.
Rathgeber, F.: Productive and Efficient Computational Science Through Domain-specific Abstractions, Ph.D. thesis, Imperial College London, 2014.
Rathgeber, F., Markall, G. R., Mitchell, L., Loriant, N., Ham, D. A., Bertolli, C., and Kelly, P. H.: PyOP2: A High-Level Framework for Performance-Portable Simulations on Unstructured Meshes, in: High Performance Computing, Networking Storage and Analysis, SC Companion, IEEE Computer Society, 1116–1123, 2012.
Rathgeber, F., Ham, D. A., Mitchell, L., Lange, M., Luporini, F., McRae, A. T. T., Bercea, G.-T., Markall, G. R., and Kelly, P. H. J.: Firedrake: automating the finite element method by composing abstractions, ACM Trans. Math. Softw., http://arxiv.org/abs/1501.01809, submitted, 2015.
Roache, P. J.: Code Verification by the Method of Manufactured Solutions, J. Fluids Eng., 124, 4–10, https://doi.org/10.1115/1.1436090, 2002.
Rodi, W., Ferziger, J. H., Breuer, M., and Porquié, M.: Status of Large Eddy Simulation: Results of a Workshop, Trans. ASME, 119, 248–262, 1997.
Rognes, M. E., Ham, D. A., Cotter, C. J., and McRae, A. T. T.: Automating the solution of PDEs on the sphere and other manifolds in FEniCS 1.2, Geosci. Model Dev., 6, 2099–2119, https://doi.org/10.5194/gmd-6-2099-2013, 2013.
Saad, Y. and Schultz, M. H.: GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Scient. Stat. Compu., 7, 856–869, https://doi.org/10.1137/0907058, 1986.
Smagorinsky, J.: General Circulation Experiments with the Primitive Equations, Mon. Weather Rev., 91, 99–164, https://doi.org/10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2, 1963.
Trangenstein, J. A.: Numerical Solution of Hyperbolic Partial Differential Equations, Cambridge University Press, 2009.
Wilson, C.: Modelling Multiple-Material Flows on Adaptive Unstructured Meshes, Ph.D. thesis, Imperial College London, 2009.
Zhou, J. G.: Lattice Boltzmann Methods for Shallow Water Flows, Springer, 2004.
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