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Seminar by Taku Ohwada |
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Date: February 15, 2005
Time: 10:30am
Location: NIA, Rm 404
Speaker: Taku Ohwada, Kyoto University, Japan
Subject: "Novel Kinetic Shock-capturing Schemes: Alternatives to the Riemann Solver"
High-resolution CFD schemes based on the kinetic theory of gases provide an alternative to the Riemann Solver for capturing shock waves and contact discontinuities. The linearity of the convective term in the kinetic equation drastically simplifies the theory of characteristics. However, the asymptotic analysis which relates the kinetic equation to gas-dynamic or hydrodynamic equations is not familiar to the engineering community at large.
In this talk, we will present a simple derivation of high-resolution kinetic schemes for the compressible Navier-Stokes equations, which does not require any advanced knowledge of kinetic theory. We present simple constructions of kinetic schemes based only on elementary properties of the equilibrium distribution function and some well-known CFD techniques, such as van Leer limiters. Numerical tests are used to validate the proposed schemes.
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