Work

Efficient IMEX Runge-Kutta methods for nonhydrostatic dynamics

Year: 2019

Type: preprint

Abstract: We analyze the stability and accuracy (up to third order) of a new family of implicit-explicit Runge-Kutta (IMEX RK) methods. This analysis expedites development of methods with various balances in the number of explicit stages and implicit solves. We emphasize deriving methods with large stability regions for horizontally explicit vertically implicit (HEVI) partitionings of nonhydrostatic atmosphere models. The IMKG2 and IMKG3 families of IMEX RK methods are formulated within this framework. The HOMME-NH model with a HEVI partitioning is used for testing the accuracy and stability of various IMKG2-3 methods. The efficiency of several IMKG2-3 methods is demonstrated in HOMME-NH and compared to other IMEX RK methods in the literature.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1906.07219

Authors: Steyer, Andrew, Vogl, Christopher J., Taylor, Mark, Guba, Oksana

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, Office of Science, National Nuclear Security Administration, Lawrence Livermore National Laboratory, Sandia National Laboratories

Awards: G11630931, G1356433355, G14554683, G2145270357, G217780377, G2214935549, G280414146, G3624711596, G413247060, G4903105778, G5339743583, G574795485, G855168022, G991281326

OpenAlex ID: W2952060529

Cites: 35

Cited by: 4

Related to: 20