Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

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

Journal Article · · Journal of Advances in Modeling Earth Systems
DOI:https://doi.org/10.1029/2019MS001700· OSTI ID:1579273
 [1];  [2];  [3];  [4];  [1]
  1. Center for Applied Scientific Computing Lawrence Livermore National Laboratory Livermore CA USA
  2. Sandia National Laboratories Albuquerque NM USA
  3. Department of Mathematics Southern Methodist University Dallas TX USA
  4. Department of Land, Air and Water Resources University of California Davis CA USA
+ Show Author Affiliations

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.

Sponsoring Organization:
USDOE
OSTI ID:
1579273
Alternate ID(s):
OSTI ID: 1602652
OSTI ID: 1579276
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

References (37)

An evaluation of the variable‐resolution CESM for modeling California's climate journal January 2016
An Optimally Stable and Accurate Second-Order SSP Runge-Kutta IMEX Scheme for Atmospheric Applications journal January 2018
The Parabolic Spline Method (PSM) for conservative transport problems journal January 2006
Algorithmically scalable block preconditioner for fully implicit shallow-water equations in CAM-SE journal October 2014
Implicit and Implicit–Explicit Strong Stability Preserving Runge–Kutta Methods with High Linear Order journal September 2017
All Mach Number Second Order Semi-implicit Scheme for the Euler Equations of Gas Dynamics journal May 2018
A Review of Element-Based Galerkin Methods for Numerical Weather Prediction: Finite Elements, Spectral Elements, and Discontinuous Galerkin journal May 2015
One step integration methods with maximum stability regions journal April 1984
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations journal November 1997
Higher-order additive Runge–Kutta schemes for ordinary differential equations journal February 2019
A compatible and conservative spectral element method on unstructured grids journal August 2010
Runge–Kutta IMEX schemes for the Horizontally Explicit/Vertically Implicit (HEVI) solution of wave equations journal November 2013
Impact and importance of hyperdiffusion on the spectral element method: A linear dispersion analysis journal December 2018
Sensitivity of Mountain Hydroclimate Simulations in Variable‐Resolution CESM to Microphysics and Horizontal Resolution journal June 2018
An Overview of the Atmospheric Component of the Energy Exascale Earth System Model journal August 2019
An Energy Consistent Discretization of the Nonhydrostatic Equations in Primitive Variables journal January 2020
A mass and energy conserving spectral element atmospheric dynamical core on the cubed-sphere grid journal July 2007
Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA) journal January 2013
Symplectic Methods Based on Decompositions journal October 1997
SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers journal September 2005
Scale Analysis of Deep and Shallow Convection in the Atmosphere journal March 1962
Improving the Anelastic Approximation journal June 1989
An Energy and Angular-Momentum Conserving Vertical Finite-Difference Scheme and Hybrid Vertical Coordinates journal April 1981
The Euler Equations of Motion with Hydrostatic Pressure as an Independent Variable journal January 1992
Unification of the Anelastic and Quasi-Hydrostatic Systems of Equations journal February 2009
Regime of Validity of Soundproof Atmospheric Flow Models journal October 2010
Aquaplanet Experiments Using CAM’s Variable-Resolution Dynamical Core journal July 2014
High-Resolution Climate Simulations Using GFDL HiRAM with a Stretched Global Grid journal June 2016
Tropical Cyclones in the 7-km NASA Global Nature Run for Use in Observing System Simulation Experiments journal January 2017
Operator-Split Runge–Kutta–Rosenbrock Methods for Nonhydrostatic Atmospheric Models journal April 2012
Impact of Variable-Resolution Meshes on Midlatitude Baroclinic Eddies Using CAM-MPAS-A journal November 2014
CAM-SE: A scalable spectral element dynamical core for the Community Atmosphere Model journal November 2011
Validity of anelastic and other equation sets as inferred from normal-mode analysis journal July 2003
A baroclinic instability test case for atmospheric model dynamical cores journal October 2006
DCMIP2016: a review of non-hydrostatic dynamical core design and intercomparison of participating models journal January 2017
Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models journal January 2018
A high-order staggered finite-element vertical discretization for non-hydrostatic atmospheric models journal January 2016

Similar Records

Related Subjects