A Finite Volume Scheme for Three-Dimensional Diffusion Equations
A Finite Volume Scheme for Three-Dimensional Diffusion Equations
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DOI：
10.4208/cicp.140813.230215a
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发表时间：
2015-09
影响因子：
3.7
通讯作者：
X. Lai;Z. Sheng;G. Yuan
中科院分区：
文献类型：
--
作者：
X. Lai;Z. Sheng;G. Yuan
。将扩散方程的钻石格式推广到三维。离散法线flUX由沿连接单元中心的线的方向flUX和沿单元表面的切线flUX的线性组合构成。此外，它还采用了一种新的迭代方法来处理材料不连续性。证明了该方法在变形网格下的稳定性和fi一阶收敛。数值结果表明，该方法具有近似二阶精度。
. The extension of diamond scheme for diffusion equation to three dimen-sions is presented. The discrete normal flux is constructed by a linear combination of the directional flux along the line connecting cell-centers and the tangent flux along the cell-faces. In addition, it treats material discontinuities by a new iterative method. The stability and first-order convergence of the method is proved on distorted meshes. The numerical results illustrate that the method appears to be approximate second-order accuracy for solution.