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A framework to evaluate IMEX schemes for atmospheric models

Journal Article · · Geoscientific Model Development (Online)
 [1];  [1];  [1];  [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
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We present a new evaluation framework for implicit and explicit (IMEX) Runge–Kutta time-stepping schemes. The new framework uses a linearized nonhydrostatic system of normal modes. We utilize the framework to investigate the stability of IMEX methods and their dispersion and dissipation of gravity, Rossby, and acoustic waves. We test the new framework on a variety of IMEX schemes and use it to develop and analyze a set of second-order low-storage IMEX Runge–Kutta methods with a high Courant–Friedrichs–Lewy (CFL) number. We show that the new framework is more selective than the 2-D acoustic system previously used in the literature. Schemes that are stable for the 2-D acoustic system are not stable for the system of normal modes.
Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Biological and Environmental Research (BER)
Grant/Contract Number:
AC04-94AL85000; NA0003525
OSTI ID:
1765755
Report Number(s):
SAND--2020-5447J; 686315
Journal Information:
Geoscientific Model Development (Online), Journal Name: Geoscientific Model Development (Online) Journal Issue: 12 Vol. 13; ISSN 1991-9603
Publisher:
European Geosciences UnionCopyright Statement
Country of Publication:
United States
Language:
English

References (16)

One step integration methods of third-fourth order accuracy with large hyperbolic stability limits journal June 1984
Algorithms for the Assignment and Transportation Problems journal March 1957
An Optimally Stable and Accurate Second-Order SSP Runge-Kutta IMEX Scheme for Atmospheric Applications journal January 2018
Numerical analyses of Runge-Kutta implicit-explicit schemes for horizontally explicit, vertically implicit solutions of atmospheric models: Numerical Analyses of RK HEVI Solutions journal February 2014
One step integration methods with maximum stability regions journal April 1984
Vertical discretizations for compressible Euler equation atmospheric models giving optimal representation of normal modes journal March 2005
Runge–Kutta IMEX schemes for the Horizontally Explicit/Vertically Implicit (HEVI) solution of wave equations journal November 2013
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
Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA) journal January 2013
The Euler Equations of Motion with Hydrostatic Pressure as an Independent Variable journal January 1992
A “Vertically Lagrangian” Finite-Volume Dynamical Core for Global Models journal October 2004
Implicit–Explicit Multistep Methods for Fast-Wave–Slow-Wave Problems journal April 2012
CAM-SE: A scalable spectral element dynamical core for the Community Atmosphere Model journal November 2011
Normal modes of deep atmospheres. I: Spherical geometry journal July 2002
Normal modes of deep atmospheres. II: f–F-plane geometry journal July 2002

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54 ENVIRONMENTAL SCIENCES