A Comparison between the Algebraic Grid Generation Method and Methods Using Parabolic and Hyperbolic Partial Differential Equations

机译：代数网格生成方法与使用抛物线和双曲型偏微分方程的方法的比较

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In this work, three fast grid generation methods for internal and external flow problems with relatively simple geometries are compared. The methods are (1) an algebraic grid generation method and methods solving (2) parabolic and (3) hyperbolic partial differential equations which start either from a single boundary, from a pair of opposite boundaries, or from all of the boundaries. Numerical experiments show that the performances of the three methods differ only slightly. In regard to grid smoothness, the hyperbolic equation method is a little better than the other methods. In regard to speed, the algebraic method is the fastest method requiring about 60 percent of the CPU time of the others.

机译：在这项工作中，比较了针对具有相对简单几何形状的内部和外部流动问题的三种快速网格生成方法。这些方法是（1）代数网格生成方法和求解（2）抛物线方程和（3）双曲型偏微分方程的方法，这些方程从单个边界，一对相对边界或所有边界开始。数值实验表明，三种方法的性能仅略有不同。关于网格平滑度，双曲方程法比其他方法要好一些。在速度方面，代数方法是最快的方法，大约需要其他方法的60％的CPU时间。

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《Numerical Grid Generation in Computational Field Simulations》|1996年|p.157-166|共10页
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Yih Nen Jeng; Yuan-Chang Liou;
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中图分类自动化技术、计算机技术;
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1. Discussion on ????????Numerical solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics????????, ????????Analogue solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics???????? and ????????Analogue solution of elliptic differential equations by conformal transformations???????? [J] . Electrical Engineers, Proceedings of the Institution of . 1971,第6期

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4. A Comparison between the Algebraic Grid Generation Method and Methods Using Parabolic and Hyperbolic Partial Differential Equations [C] . Yih Nen Jeng, Yuan-Chang Liou International conference on numerical grid generation in computational field simulations . 1996

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A Comparison between the Algebraic Grid Generation Method and Methods Using Parabolic and Hyperbolic Partial Differential Equations

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