Well-balanced numerical method for atmospheric flow equations with gravity

Alina Chertock,Alexander Kurganov,Tong Wu, Jun Yan

Applied Mathematics and Computation（2023）

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摘要

•Gravitationally stratified atmospheric flows are simulated using structured quadrilateral grids.•Well-balanced second-order central-upwind schemes are designed.•Tests include the buoyant bubble rising and interacting with an obstacle and the Lee wave generation due to topography.

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关键词

Atmospheric flow equations with gravity,Well-balanced central-upwind scheme,Equilibrium variables,Quadrilateral mesh,Irregular domains

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