Well-balanced numerical method for atmospheric flow equations with gravity

作者：

Highlights：

• 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.

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.

论文关键词：Atmospheric flow equations with gravity,Well-balanced central-upwind scheme,Equilibrium variables,Quadrilateral mesh,Irregular domains,76M12,65M08,86-08,35L65

论文评审过程：Received 28 June 2022, Revised 2 September 2022, Accepted 26 September 2022, Available online 20 October 2022, Version of Record 20 October 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127587