TUESDAY, January 17, 2006
Time: 11:00 AM
E & CS Building, Virtual Reality Room

Title: Gas-kinetic Scheme for Viscous and Rarefied Flow Computation

Kun Xu
Mathematics Department
Hong Kong University of Science and Technology

It is well known that for increasingly rarefied flowfields, the predictions from continuum formulation, such as the Navier-Stokes equations lose accuracy. These inaccuracies are attributed primarily to the linear approximations of the stress and heat flux terms in the Navier-Stokes equations. The inclusion of higher-order terms, such as Burnett or high-order moment equations could improve the predictive capabilities of such continuum formulations, but there has been limited success in the shock structure calculations, especially in the high Mach number cases. In this talk, we are going to firstly introduce the gas-kinetic scheme for the Navier-Stokes flow computation. Then, the viscosity and heat conduction coefficients in the NS equations are generalized for the rarefied flow. Many applications of the kinetic scheme in the hypersonic viscous flow and non-equilibrium shock structure will be presented.