Evaluation of Implicit‐Explicit Additive Runge‐Kutta Integrators for the HOMME‐NH Dynamical Core
Abstract
The nonhydrostatic High-Order Method Modeling Environment (HOMME-NH) atmospheric dynamical core supports acoustic waves that propagate significantly faster than the advective wind speed, thus greatly limiting the time step size that can be used with standard explicit time integration methods. Resolving acoustic waves is unnecessary for accurate climate and weather prediction. This numerical stiffness is addressed herein by considering implicit-explicit additive Runge-Kutta (ARK IMEX) methods that can treat the acoustic waves in a stable manner without requiring implicit treatment of nonstiff modes. Various ARK IMEX methods are evaluated for their efficiency in producing accurate solutions, ability to take large time step sizes, and sensitivity to grid cell length ratio. Both the gravity wave test and baroclinic instability test from the 2012 Dynamical Core Model Intercomparison Project are used to recommend 5 of the 27 ARK IMEX methods tested for use in HOMME-NH.
- Authors:
-
[1];
[3];
[4];
- Center for Applied Scientific Computing Lawrence Livermore National Laboratory Livermore CA USA
- Sandia National Laboratories Albuquerque NM USA
- Department of Mathematics Southern Methodist University Dallas TX USA
- Department of Land, Air and Water Resources University of California Davis CA USA
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1579273
- Alternate Identifier(s):
- OSTI ID: 1579276; OSTI ID: 1602652
- Report Number(s):
- LLNL-JRNL-770788
Journal ID: ISSN 1942-2466
- Grant/Contract Number:
- AC52-07NA27344
- Resource Type:
- Published Article
- Journal Name:
- Journal of Advances in Modeling Earth Systems
- Additional Journal Information:
- Journal Name: Journal of Advances in Modeling Earth Systems Journal Volume: 11 Journal Issue: 12; Journal ID: ISSN 1942-2466
- Publisher:
- American Geophysical Union (AGU)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; Geosciences; Mathematics and Computing; IMEX; additive Runge‐Kutta; nonhydrostatic; dynamical core; HOMME‐NH; E3SM
Citation Formats
Vogl, Christopher J., Steyer, Andrew, Reynolds, Daniel R., Ullrich, Paul A., and Woodward, Carol S. Evaluation of Implicit‐Explicit Additive Runge‐Kutta Integrators for the HOMME‐NH Dynamical Core. United States: N. p., 2019.
Web. doi:10.1029/2019MS001700.
Vogl, Christopher J., Steyer, Andrew, Reynolds, Daniel R., Ullrich, Paul A., & Woodward, Carol S. Evaluation of Implicit‐Explicit Additive Runge‐Kutta Integrators for the HOMME‐NH Dynamical Core. United States. https://doi.org/10.1029/2019MS001700
Vogl, Christopher J., Steyer, Andrew, Reynolds, Daniel R., Ullrich, Paul A., and Woodward, Carol S. Wed .
"Evaluation of Implicit‐Explicit Additive Runge‐Kutta Integrators for the HOMME‐NH Dynamical Core". United States. https://doi.org/10.1029/2019MS001700.
@article{osti_1579273,
title = {Evaluation of Implicit‐Explicit Additive Runge‐Kutta Integrators for the HOMME‐NH Dynamical Core},
author = {Vogl, Christopher J. and Steyer, Andrew and Reynolds, Daniel R. and Ullrich, Paul A. and Woodward, Carol S.},
abstractNote = {The nonhydrostatic High-Order Method Modeling Environment (HOMME-NH) atmospheric dynamical core supports acoustic waves that propagate significantly faster than the advective wind speed, thus greatly limiting the time step size that can be used with standard explicit time integration methods. Resolving acoustic waves is unnecessary for accurate climate and weather prediction. This numerical stiffness is addressed herein by considering implicit-explicit additive Runge-Kutta (ARK IMEX) methods that can treat the acoustic waves in a stable manner without requiring implicit treatment of nonstiff modes. Various ARK IMEX methods are evaluated for their efficiency in producing accurate solutions, ability to take large time step sizes, and sensitivity to grid cell length ratio. Both the gravity wave test and baroclinic instability test from the 2012 Dynamical Core Model Intercomparison Project are used to recommend 5 of the 27 ARK IMEX methods tested for use in HOMME-NH.},
doi = {10.1029/2019MS001700},
journal = {Journal of Advances in Modeling Earth Systems},
number = 12,
volume = 11,
place = {United States},
year = {2019},
month = {12}
}
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