Abstract
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. 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1477-1496 |
| Number of pages | 20 |
| Journal | Quarterly Journal of the Royal Meteorological Society |
| Volume | 147 |
| Issue number | 736 |
| DOIs | |
| State | Published - Apr 2021 |
Funding
This work was supported by the U.S. Department of Energy Office of Science under grants DE‐SC020418, Triad National Security, LLC, for the National Nuclear Security Administration of U.S. Department of Energy (Contract No. 89233218CNA000001), and in part by UT‐Battelle, LLC, Contract No. DE‐AC05‐00OR22725 with the U.S. Department of Energy. Accordingly, the U.S. Government retains a nonexclusive, royalty‐free license to publish or reproduce the published form of this contribution, or allow others to do so, for U.S. Government purposes. Triad National Security, LLC, Contract No.: 89233218CNA000001, UT‐Battelle, LLC, Contract No.: DE‐AC05‐00OR22725; U.S. Department of Energy Office of Science, DE‐SC020418 Funding information
Keywords
- HEVI splitting strategy
- IMEX schemes
- exponential time differencing