The compatibility of a nine-point difference scheme is studied in this *** on this result, a new nine-point difference scheme is suggested for the nu-merical solution of nonlinear diffusion equation. The new scheme ke...
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The compatibility of a nine-point difference scheme is studied in this *** on this result, a new nine-point difference scheme is suggested for the nu-merical solution of nonlinear diffusion equation. The new scheme keeps the same advantages of the original one, i.e., simple in computation and easy to be imple-mented. Furthermore, the new scheme is more accurate than the original one if the mesh is non-smooth and high skewed, which is most important for Lagrange method in computational fluid dynamics.
3-T heat conduct equation including electron, ion and photon (radiation) temperatures can be used to approximately describe the energy broadcast across multimedia for radial flow dynamics and discover the energy swapp...
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3-T heat conduct equation including electron, ion and photon (radiation) temperatures can be used to approximately describe the energy broadcast across multimedia for radial flow dynamics and discover the energy swapping among photon,electron and ion. Owing to the strong nonlinear diffusion coefficients and energy swapping coefficients and strong discontinuous coefficients across media interfaces,this equation is difficult to be solved with high numerical resolution. Based on the parallel adaptive multigrid software framework UG on 2-D unstructured grid, this paper successfully solved such equation with high resolution by combining the finite volume implicit discretization scheme and parallel adaptive multigrid algorithm, and gained much significant results.
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