Discretization Schemes for Macroscopic Transport Equations on Non-cartesian Coordinate Systems
نویسندگان
چکیده
We present discretization schemes for the Poisson equation, the isothermal drift-diffusion equations, and a generalized higher-order moment equation of the Boltzmann transport equation for general orthogonal coordinate systems like cylindrical and spherical systems. The use of orthogonal coordinate systems allows to reduce the dimension of the problem from three to two. We give an approximation of the error which is made by using linear interpolation instead of the geometrically corrected interpolation.
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تاریخ انتشار 2006