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

Journal Article · · Quarterly Journal of the Royal Meteorological Society
DOI:https://doi.org/10.1002/qj.3975· OSTI ID:1783540
 [1];  [2];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  3. Florida State Univ., Tallahassee, FL (United States)
+ Show Author Affiliations
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.
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; USDOE Office of Science (SC), Biological and Environmental Research (BER)
Grant/Contract Number:
89233218CNA000001; AC05-00OR22725
OSTI ID:
1783540
Alternate ID(s):
OSTI ID: 1818734
OSTI ID: 1782403
Report Number(s):
LA-UR--21-20326
Journal Information:
Quarterly Journal of the Royal Meteorological Society, Journal Name: Quarterly Journal of the Royal Meteorological Society Journal Issue: 736 Vol. 147; ISSN 0035-9009
Publisher:
Royal Meteorological SocietyCopyright Statement
Country of Publication:
United States
Language:
English

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Related Subjects

54 ENVIRONMENTAL SCIENCES
Computer science
Earth sciences
HEVI splitting strategy
IMEX schemes
exponential time differencing
mathematics