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A TRANSFORMATION OF THE CONVECTIVE DIFFUSION EQUATION WITH CORRESPONDING FINITE DIFFERENCE METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(4): 418-425. DOI: 10.6052/0459-1879-1991-4-1995-858
Citation: A TRANSFORMATION OF THE CONVECTIVE DIFFUSION EQUATION WITH CORRESPONDING FINITE DIFFERENCE METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(4): 418-425. DOI: 10.6052/0459-1879-1991-4-1995-858

A TRANSFORMATION OF THE CONVECTIVE DIFFUSION EQUATION WITH CORRESPONDING FINITE DIFFERENCE METHOD

  • An analytical transformation with corresponding finite difference method of the convective diffusion equation into a diffusion equation coupled with a so-called upwind convection function is proposed in this paper. Reflecting the upwind effect in convective diffusion phenomena with a brief exponential representation, the upwind convection function reduces in essence the difficulty due to the non-symmetrical convection operator, and thus can bring great convenience to the numerical aspect of the convective d...
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