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Comparative study on triangular and quadrilateral meshes by a finite-volume method with a central difference scheme

机译:具有中心差方案的有限体积方法对三角形和四边形网格的比较研究

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摘要

In this article, comparative studies on computational accuracies and convergence rates of triangular and quadrilateral meshes are carried out in the frame work of the finite-volume method. By theoretical analysis, we conclude that the number of triangular cells needs to be 4/3 times that of quadrilateral cells to obtain similar accuracy. The conclusion is verified by a number of numerical examples. In addition, the convergence rates of the triangular meshes are found to be slower than those of the quadrilateral meshes when the same accuracy is obtained with these two mesh types.
机译:本文在有限体积法的框架下,对三角形和四边形网格的计算精度和收敛速度进行了比较研究。通过理论分析,我们得出结论,三角形单元的数量需要是四边形单元的数量的4/3倍才能获得相似的精度。大量数值示例验证了该结论。此外,当使用这两种网格类型获得相同的精度时,发现三角形网格的收敛速度比四边形网格的收敛速度慢。

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