Numerical analyses of exponential time-differencing schemes for the solution of atmospheric models

Calandrini, Sara; Pieper, Konstantin; Gunzburger, Max

doi:10.1002/qj.3975

Title: Numerical analyses of exponential time-differencing schemes for the solution of atmospheric models

Journal Article · Tue Feb 23 00:00:00 EST 2021 · Quarterly Journal of the Royal Meteorological Society

DOI:https://doi.org/10.1002/qj.3975· OSTI ID:1783540

^[1]; Pieper, Konstantin ^[2]; Gunzburger, Max ^[3]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Florida State Univ., Tallahassee, FL (United States)

In high-resolution numerical weather prediction models, fast-moving acoustic waves must be treated in a stable manner. Among the implicit–explicit (IMEX) schemes used for the solution of these models, horizontally explicit, vertically implicit (HEVI) methods show good stability and scalability on massively parallel machines. In this work, we present two classes of exponential time-differencing (ETD) methods for atmospheric models that use a HEVI splitting strategy, one being a three-stage method with the addition of artificial diffusion, the second based on a Strang splitting approach. Overall, the stability properties of the methods are analyzed and numerical examples are provided, which compare time-step restrictions and cost-to-accuracy ratios of the new methods with those for existing approaches.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Biological and Environmental Research (BER)

Grant/Contract Number:: 89233218CNA000001; AC05-00OR22725; SC020418; DE‐SC020418

OSTI ID:: 1783540

Alternate ID(s):: OSTI ID: 1782403; OSTI ID: 1818734

Report Number(s):: LA-UR-21-20326

Journal Information:: Quarterly Journal of the Royal Meteorological Society, Vol. 147, Issue 736; ISSN 0035-9009

Publisher:: Royal Meteorological SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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