Seminars on Numerical Algorithms, Analyses, and Applications：Error estimates of hybridized discontinuous Galerkin methods for incompressible Navier-Stokes and generalized Boussinesq equations with Driac measures-Tianyuan Mathematical Center in Southeast China (TMSE)

Seminars on Numerical Algorithms, Analyses, and Applications：Error estimates of hybridized discontinuous Galerkin methods for incompressible Navier-Stokes and generalized Boussinesq equations with Driac measures

Feb 28, 2023

Conference Room 686 at the 6th floor of Shuli Building at Haiyun Campus

Haitao Leng（Guangzhou University）

Speaker：Haitao Leng（Guangzhou University）

Time：2023-2-28, 10:00

Location：Conference Room 686 at the 6th floor of Shuli Building at Haiyun Campus

Abstract:

In this talk, we study the numerical simulation of the incompressible Navier-Stokes and generalized Boussinesq equations with Dirac measures. The generalized Boussinesq equations coupling the incompressible Navier-Stokes equations and the heat equations with Dirac measures include the temperature-dependent viscosity and thermal conductivity. We use an exactly divergence-free hybridized discontinuous Galerkin method to approximate the studied models, prove its well-posedness, and analyze a priori and a posteriori error estimates. Finally, several numerical examples are provided to validate the theoretical results.