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Well-balanced numerical method for atmospheric flow equations with gravity

Author

Listed:
  • Chertock, Alina
  • Kurganov, Alexander
  • Wu, Tong
  • Yan, Jun

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.

Suggested Citation

  • Chertock, Alina & Kurganov, Alexander & Wu, Tong & Yan, Jun, 2023. "Well-balanced numerical method for atmospheric flow equations with gravity," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    • Handle: RePEc:eee:apmaco:v:439:y:2023:i:c:s0096300322006609
    DOI: 10.1016/j.amc.2022.127587
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