题目：Subcell Hydrostatic Reconstruction Scheme of Gravitational Flows with Vacuum

报告人: 陈国贤  武汉大学

  

时间： 2018年1月2日 下午 3:00-4:00 

地点： 管理科研楼 1518

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.