2024年06月17日 星期一 登录 EN

学术活动
A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations
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报告人:
Maojun Li, Associate Professor, University of Electronic Science and Technology of China
邀请人:
Tao Yin, Associate Professor
题目:
A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations
时间地点:
14:00-15:00 June 2 (Friday), Tencent meeting: 471 631 510
摘要:

For numerical schemes to the incompressible Navier-Stokes equations with variable density, it is a critical property to preserve the bounds of density. A bound-preserving high order accurate scheme can be constructed by using high order discontinuous Galerkin methods or finite volume methods with a bound-preserving limiter for the density evolution equation, with any popular numerical method for the momentum evolution. In this talk, we consider a combination of a continuous finite element method for momentum evolution and a bound-preserving discontinuous Galerkin method for density evolution. Fully explicit and explicit-implicit strong stability preserving Runge-Kutta methods can be used for the time discretization for the sake of bound-preserving. Numerical tests on representative examples are shown to demonstrate the performance of the proposed scheme.