Well-balanced numerical method for atmospheric flow equations with gravity

Alina Chertock, Alexander Kurganov, Tong Wu and Jun Yan

Applied Mathematics and Computation, 2023, vol. 439, issue C

Abstract: We are interested in simulating gravitationally stratified atmospheric flows governed by the compressible Euler equations in irregular domains. In such simulations, one of the challenges arises when the computations are conducted on a Cartesian grid. The use of regular rectangular grids that intersect with the irregular boundaries leads to the generation of arbitrarily small and highly distorted computational cells adjacent to the boundaries of the domain. The appearance of such cells may affect both the stability and efficiency of the numerical method and therefore require special attention.

Keywords: Atmospheric flow equations with gravity; Well-balanced central-upwind scheme; Equilibrium variables; Quadrilateral mesh; Irregular domains (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:439:y:2023:i:c:s0096300322006609

DOI: 10.1016/j.amc.2022.127587

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