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Subcell Hydrostatic Reconstruction Scheme of Gravitational Flows with Vacuum
Subcell Hydrostatic Reconstruction Scheme of Gravitational Flows with Vacuum
教师介绍

本讲教师:陈国贤
所属学科:理科
人  气:795

课程介绍
摘要:We design a scheme for the Euler equations with gravity by our new designed subcell hydrostatic reconstruction method which is originally for the shallow water equations [SIAM Journal on Numerical Analysis, 55(2):758-784, 2017.]. The key difficulty for such problem is to give a proper definition of the non-conservative product of measures due to the gravitational potential, such that two properties are preserved: one is the well-balancing which can preserve the steady state exactly (hydrostatic isothermal steady state are considered in this paper); another one is the non-negativity of both the gas density and pressure. The numerical experiments demonstrate the scheme’s robustness.

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