Numerical analyses of exponential time-differencing schemes for the solution of atmospheric models
- 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.
- 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
Similar Records
Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models
Localized Exponential Time Differencing Method for Shallow Water Equations: Algorithms and Numerical Study