Abstract
The BGK‐model with velocity dependent collision frequency is discussed and applied to Couette flow and the shock structure problem. Thermal conductivity and viscosity are computed from the Chapman‐Enskog method and several velocity‐dependent collision frequencies are introduced which all give the proper Prandtl number. The models are tested and compared to results from the Direct Simulation Monte Carlo method. The simulations rely on a numerical scheme that ensures positivity of solutions, conservation of moments, and dissipation of entropy. The advantages and disadvantages of the various BGK models are discussed.
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