Conservative numerical methods for model kinetic equations
نویسنده
چکیده
A new conservative discrete ordinate method for nonlinear model kinetic equations is proposed. The conservation property with respect to the collision integral is achieved by satisfying at the discrete level approximation conditions used in deriving the model collision integrals. Additionally to the conservation property, the method ensures the correct approximation of the heat uxes. Numerical examples of a supersonic ow with large gradients are provided for the Shakhov and Rykov model kinetic equations.
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