Articles | Volume 8, issue 12
https://doi.org/10.5194/gmd-8-3891-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/gmd-8-3891-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Model description paper
| 
09 Dec 2015
Model description paper |
| 09 Dec 2015
Adaptive wavelet simulation of global ocean dynamics using a new Brinkman volume penalization
Department of Mathematics and Statistics, McMaster University, Hamilton ON, Canada
T. Dubos
Laboratoire de Météorologie Dynamique/IPSL, École Polytechnique, Palaiseau, France
M. Aechtner
Department of Mathematics and Statistics, McMaster University, Hamilton ON, Canada
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Cited
14 citations as recorded by crossref.
- On the convergence of data assimilation for the one-dimensional shallow water equations with sparse observations N. Kevlahan et al. 10.1007/s10444-019-09733-6
- Advancing Dynamical Cores of Oceanic Models across All Scales F. Lemarié et al. 10.1175/BAMS-D-18-0303.1
- Energy Spectra and Vorticity Dynamics in a Two-Layer Shallow Water Ocean Model N. Kevlahan & F. Poulin 10.1175/JPO-D-21-0318.1
- Brinkman volume penalization for bathymetry in three-dimensional ocean models L. Debreu et al. 10.1016/j.ocemod.2019.101530
- Adaptive Wavelet Methods for Earth Systems Modelling N. Kevlahan 10.3390/fluids6070236
- Improved Gulf Stream separation through Brinkman penalization L. Debreu et al. 10.1016/j.ocemod.2022.102121
- Lagrangian Data Assimilation and Parameter Estimation of an Idealized Sea Ice Discrete Element Model N. Chen et al. 10.1029/2021MS002513
- Approximate acoustic boundary conditions in the time-domain using volume penalization M. Lemke & J. Reiss 10.1121/10.0017347
- Finite difference time domain discretization for room acoustic simulation based on the non-linear Euler equations A. Hölter et al. 10.1051/aacus/2024071
- Pressure-Tight and Non-stiff Volume Penalization for Compressible Flows J. Reiss 10.1007/s10915-021-01747-x
- wavetrisk-2.1: an adaptive dynamical core for ocean modelling N. Kevlahan & F. Lemarié 10.5194/gmd-15-6521-2022
- Connecting Soft and Hard: An Integrating Role of Systems Dynamics in Tsunami Modeling and Simulation M. Zanker et al. 10.3390/sci6030039
- WAVETRISK-1.0: an adaptive wavelet hydrostatic dynamical core N. Kevlahan & T. Dubos 10.5194/gmd-12-4901-2019
- Adaptive-Anisotropic Wavelet Collocation Method on general curvilinear coordinate systems E. Brown-Dymkoski & O. Vasilyev 10.1016/j.jcp.2016.12.040
13 citations as recorded by crossref.
- On the convergence of data assimilation for the one-dimensional shallow water equations with sparse observations N. Kevlahan et al. 10.1007/s10444-019-09733-6
- Advancing Dynamical Cores of Oceanic Models across All Scales F. Lemarié et al. 10.1175/BAMS-D-18-0303.1
- Energy Spectra and Vorticity Dynamics in a Two-Layer Shallow Water Ocean Model N. Kevlahan & F. Poulin 10.1175/JPO-D-21-0318.1
- Brinkman volume penalization for bathymetry in three-dimensional ocean models L. Debreu et al. 10.1016/j.ocemod.2019.101530
- Adaptive Wavelet Methods for Earth Systems Modelling N. Kevlahan 10.3390/fluids6070236
- Improved Gulf Stream separation through Brinkman penalization L. Debreu et al. 10.1016/j.ocemod.2022.102121
- Lagrangian Data Assimilation and Parameter Estimation of an Idealized Sea Ice Discrete Element Model N. Chen et al. 10.1029/2021MS002513
- Approximate acoustic boundary conditions in the time-domain using volume penalization M. Lemke & J. Reiss 10.1121/10.0017347
- Finite difference time domain discretization for room acoustic simulation based on the non-linear Euler equations A. Hölter et al. 10.1051/aacus/2024071
- Pressure-Tight and Non-stiff Volume Penalization for Compressible Flows J. Reiss 10.1007/s10915-021-01747-x
- wavetrisk-2.1: an adaptive dynamical core for ocean modelling N. Kevlahan & F. Lemarié 10.5194/gmd-15-6521-2022
- Connecting Soft and Hard: An Integrating Role of Systems Dynamics in Tsunami Modeling and Simulation M. Zanker et al. 10.3390/sci6030039
- WAVETRISK-1.0: an adaptive wavelet hydrostatic dynamical core N. Kevlahan & T. Dubos 10.5194/gmd-12-4901-2019
1 citations as recorded by crossref.
Saved (final revised paper)
Latest update: 19 Jan 2025
Short summary
In order to easily enforce solid-wall boundary conditions in the presence of complex coastlines, we propose a new mass and energy conserving Brinkman penalization for the rotating shallow water equations. This penalization does not lead to higher wave speeds in the solid region. The error estimates for the penalization are derived analytically and verified numerically for linearized one-dimensional equations. The penalization is implemented in a conservative dynamically adaptive wavelet method.
In order to easily enforce solid-wall boundary conditions in the presence of complex coastlines,...
