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Numerical Simulations of the Two-Dimensional Inviscid Hydrostatic Primitive Equations with Humidity and Saturation
Journal of Scientific Computing ( IF 2.5 ) Pub Date : 2020-05-06 , DOI: 10.1007/s10915-020-01215-y
Arthur Bousquet , Youngjoon Hong , Roger Temam , Joseph Tribbia

The two-dimensional inviscid hydrostatic primitive equations of the atmosphere with humidity and saturation are considered in the presence of topography. The model studied here describes the dynamics of the air or water in order to approximate global atmospheric flows. The heart of the paper is to derive a new set of transformed inviscid primitive equations using a version of the terrain-following coordinate systems and to develop an accurate numerical scheme to the equations. In this regard, a fully discrete numerical algorithm based on a Godunov-type finite volume method is proposed and its convergence tested. We then use this algorithm to simulate the flows above a mountain using the terrain-following coordinate system with a dynamic bottom pressure.



中文翻译:

含饱和度和湿度的二维无粘性静水本原方程的数值模拟

在存在地形的情况下,考虑了具有湿度和饱和度的大气的二维无粘性静水原始方程。这里研究的模型描述了空气或水的动力学,以近似全球大气流量。本文的核心是使用地形跟随坐标系的一个版本来导出一组新的变换后的无粘性原始方程组,并为这些方程组开发一个精确的数值方案。在这方面,提出了一种基于Godunov型有限体积方法的全离散数值算法,并对其收敛性进行了测试。然后,我们使用此算法通过具有动态底部压力的地形跟踪坐标系来模拟山上的水流。

更新日期:2020-05-06
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