Report title: Time-discrete Schemes for the Incompressible Navier-Stokes Equations with Variable Density

Reporter: Professor An Rong, School of Mathematics and Physics, Wenzhou University

Reporting time: 09:20-10:00 AM, November 19, 2020

Report location: Tencent Conference ID: 892 255 965

Conference password: 1119

School contact: Lu Junliang lvjl@jlu.edu.cn

Report summary:

    Based upon an equivalent form of the incompressible Navier-Stokes equations with variable density, a first-order backward Euler time-discrete scheme is considered for solving the variable density flows numerically. The proposed numerical scheme is unconditionally stable and the first-order temporal convergence rate $\mathcal O(\tau)$ is derived without any assumption on numerical solution by using the discrete maximal $L^p$-regularity of the Stokes problem.

Brief introduction of the speaker:

    An Rong is a professor in the School of Mathematics and Physics of Wenzhou University, and a distinguished professor of Oujiang of Wenzhou University. Both Bachelor, Master and Ph.D. are studying at Xi'an Jiaotong University, under the tutelage of Professor Li Kaitai, a famous computational mathematician. The research direction is the numerical solution and theoretical analysis of partial differential equations, mainly including: numerical methods of incompressible fluid equations, numerical methods of variational inequality problems, numerical methods of Landau-Lifshitz equations in micromagnetism, etc. He presided over the National Natural Science Foundation of China and the Zhejiang Provincial Fund, and won one third prize of Zhejiang Provincial Natural Science Award. So far, more than 40 papers have been published in journals such as Numerische Mathematik, Journal of Scientific Computing, Advances in Computational Mathematics, Applied Numerical Mathematics, etc.