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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >ALGEBRAIC METHOD USING GRID COMBINATION
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ALGEBRAIC METHOD USING GRID COMBINATION

机译：网格组合的代数方法

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摘要

The two-grid and four-grid combination methods, based on the Soni-linear and Soni-Hermite transfinite interpolation formulas, are developed to generate two-dimensional grid systems in regions with prescribed grid distributions along all of the boundaries. For the true-grid system, two initial grids stemming from opposite boundaries are generated separately and then combined to give the final grid distribution. For the four-grid combination method four initial grid systems are generated separately from each boundary. Numerical experiments show that the present algebraic method is slightly better than the Soni linear interpolation. In the cases with Hermite interpolation, the present method significantly improves the applicability of the original Hermite transfinite interpolation method. Because there are few differences between the results of the two-grid and four-grid systems, the former method is recommended to generate grid systems in relatively simple domains. [References: 14]
机译：开发了基于Soni-linear和Soni-Hermite超限插值公式的两网格和四网格组合方法，以在沿所有边界具有指定网格分布的区域中生成二维网格系统。对于真实网格系统，分别生成源自相反边界的两个初始网格，然后将其合并以给出最终网格分布。对于四网格组合方法，从每个边界分别生成四个初始网格系统。数值实验表明，目前的代数方法比Soni线性插值方法稍好。在具有Hermite插值的情况下，本方法大大提高了原始Hermite超限插值方法的适用性。由于两网格和四网格系统的结果之间几乎没有差异，因此建议使用前一种方法在相对简单的域中生成网格系统。 [参考：14]

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