Evaluation of Implicit‐Explicit Additive Runge‐Kutta Integrators for the HOMME‐NH Dynamical Core

Vogl, Christopher J.; Steyer, Andrew; Reynolds, Daniel R.; Ullrich, Paul A.; Woodward, Carol S.

doi:10.1029/2019MS001700

Evaluation of Implicit‐Explicit Additive Runge‐Kutta Integrators for the HOMME‐NH Dynamical Core

Journal Article · Wed Dec 11 00:00:00 EST 2019 · Journal of Advances in Modeling Earth Systems

DOI:https://doi.org/10.1029/2019MS001700· OSTI ID:1579273

^[1]; Steyer, Andrew ^[2]; ^[3]; ^[4]; Woodward, Carol S. ^[1]

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

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.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1579273

Alternate ID(s):: OSTI ID: 1602652
OSTI ID: 1579276

Report Number(s):: LLNL-JRNL--770788

Journal Information:: Journal of Advances in Modeling Earth Systems, Journal Name: Journal of Advances in Modeling Earth Systems Journal Issue: 12 Vol. 11; ISSN 1942-2466

Publisher:: American Geophysical Union (AGU)Copyright Statement

Country of Publication:: United States

Language:: English

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Evaluation of Implicit‐Explicit Additive Runge‐Kutta Integrators for the HOMME‐NH Dynamical Core

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