Solving Diffusion Equation on Three-Dimensional Non-Conformal Mesh

Abstract

Abstract: Sub-division method based on support operator is used to solve diffusion equation with three-dimensional non-conformal mesh and non-planar mesh.Numerical experiments show that the method is second-order accurate on general non-conformal mesh.For curved-face mesh and non-planar-face mesh, the method is more accurate than traditional plane-approximation method.For non-conformal orthogonal mesh, the method can obtain accurate solutions of linear problems.

Key words: diffusion equation, three-dimensional non-conformal mesh, support operator method, sub-division

CLC Number:

O532

GUO Shaodong, ZHANG Mingyu, ZHOU Haibing, XIONG Jun, ZHANG Shudao. Solving Diffusion Equation on Three-Dimensional Non-Conformal Mesh[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 34(1): 19-28.

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