Some Advances in Numerical Simulation of

Fluid Flows

报告人:                                            Prof.  C.Shu

Department of Mechanical Engineering, National University of Singapore

时间：2014年7月22日(周二)   10:00                                                         

地点：中国科学院力学研究所主楼344会议室

报告摘要：

Finite volume method is one of the most popular numerical approaches in computational fluid dynamics (CFD). It involves conservative flow variables defined at cell centres and numerical fluxes at cell interfaces. Usually, the flow variables at cell centres are defined as unknowns. Then we need to locally construct a solution from flow variables at cell centres to evaluate fluxes at cell interfaces. Currently, there are three major approaches to reconstruct the solution for evaluation of numerical fluxes. They are based on smooth function approximation (general solver), one-dimensional Euler equation (Riemann solver), and continuous Boltzmann equation (gas-kinetic solver). In this talk, a brief review of current 3 flux solvers will be presented first. Then the newly-developed lattice Boltzmann flux solver, circular function-based gas kinetic flux solver and the simple gas kinetic flux solver will be shown in details. These solvers evaluate viscous and inviscid fluxes simultaneously and physically. They combine advantages of conventional Navier-Stokes solvers and lattice Boltzmann/gas kinetic solvers. The fluid flows from incompressible regime to hypersonic regime can be well simulated by these solvers. In the talk, we will show various applications of proposed new flux solvers including simulation of incompressible and compressible flows, multiphase flows and moving boundary flows.