Articles | Volume 9, issue 5
Development and technical paper
01 Jun 2016
Development and technical paper |  | 01 Jun 2016

A high-order staggered finite-element vertical discretization for non-hydrostatic atmospheric models

Jorge E. Guerra and Paul A. Ullrich

Related authors

Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models
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,,, 2018
Short summary

Related subject area

Climate and Earth system modeling
Benchmarking GOCART-2G in the Goddard Earth Observing System (GEOS)
Allison B. Collow, Peter R. Colarco, Arlindo M. da Silva, Virginie Buchard, Huisheng Bian, Mian Chin, Sampa Das, Ravi Govindaraju, Dongchul Kim, and Valentina Aquila
Geosci. Model Dev., 17, 1443–1468,,, 2024
Short summary
Energy-conserving physics for nonhydrostatic dynamics in mass coordinate models
Oksana Guba, Mark A. Taylor, Peter A. Bosler, Christopher Eldred, and Peter H. Lauritzen
Geosci. Model Dev., 17, 1429–1442,,, 2024
Short summary
Evaluation and optimisation of the soil carbon turnover routine in the MONICA model (version 3.3.1)
Konstantin Aiteew, Jarno Rouhiainen, Claas Nendel, and René Dechow
Geosci. Model Dev., 17, 1349–1385,,, 2024
Short summary
Assessing the sensitivity of aerosol mass budget and effective radiative forcing to horizontal grid spacing in E3SMv1 using a regional refinement approach
Jianfeng Li, Kai Zhang, Taufiq Hassan, Shixuan Zhang, Po-Lun Ma, Balwinder Singh, Qiyang Yan, and Huilin Huang
Geosci. Model Dev., 17, 1327–1347,,, 2024
Short summary
Towards the definition of a solar forcing dataset for CMIP7
Bernd Funke, Thierry Dudok de Wit, Ilaria Ermolli, Margit Haberreiter, Doug Kinnison, Daniel Marsh, Hilde Nesse, Annika Seppälä, Miriam Sinnhuber, and Ilya Usoskin
Geosci. Model Dev., 17, 1217–1227,,, 2024
Short summary

Cited articles

Arakawa, A. and Moorthi, S.: Baroclinic instability in vertically discrete systems, J. Atmos. Sci., 45, 1688–1708,<1688:BIIVDS>2.0.CO;2, 1988.
Ascher, U., Ruuth, S., and Spiteri, R.: Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations, Appl. Numer. Math., 25, 151–167,, 1997.
Charney, J. and Phillips, N.: Numerical integration of the quasi-geostrophic equations for barotropic and simple baroclinic flows, J. Atmos. Sci., 10, 71–99,<0071:NIOTQG>2.0.CO;2, 1953.
Cotter, C. and Thuburn, J.: A finite element exterior calculus framework for the rotating shallow-water equations, J. Comput. Phys., 231, 7076–7091, 2012.
Cotter, C. and Thuburn, J.: Mixed finite elements for numerical weather prediction, J. Comput. Phys., 257, 1506–1526, 2014.
Short summary
This work introduces a collection of advances in the field of numerical simulation of the atmosphere using mixed finite element methods. We emphasize vertical motions in the atmosphere and apply state-of-the-art mathematics and programming paradigms to solve the differential equations that govern air flow cast in a coordinate-free formulation. The simulations show accurate flow features over a wide range of spatial scales including several important phenomena.