A framework to evaluate IMEX schemes for atmospheric models release_wevsfs37yzd4xnkbebo5pskhom

by Oksana Guba, Mark Taylor, Andrew M. Bradley, Peter A. Bosler, Andrew Steyer

Published in Geoscientific Model Development by Copernicus GmbH.

2020   Volume 13, Issue 12, p6467-6480

Abstract

Abstract. 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.
In application/xml+jats format

Archived Files and Locations

application/pdf  3.3 MB
file_4bgfwkfrb5avfinrbpivz7bgve
gmd.copernicus.org (publisher)
web.archive.org (webarchive)
Read Archived PDF
Preserved and Accessible
Type  article-journal
Stage   published
Date   2020-12-22
Language   en ?
Container Metadata
Open Access Publication
In DOAJ
In ISSN ROAD
In Keepers Registry
ISSN-L:  1991-959X
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: 925e3930-3087-4352-86b6-94b2a29e3f4c
API URL: JSON