Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Associate Professor Maojun Li,University of Electronic Science and Technology of China
Inviter:	Associate Professor Tao Yin
Title:	A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations
Language:	Chinese
Time & Venue:	2023.06.02 14:00-15:00 腾讯会议：471 631 510
Abstract:	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.