| 求解泊松方程的紧致修正法 |
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| 引用本文： | 张昆,杨茉.求解泊松方程的紧致修正法[J].水动力学研究与进展(A辑),2011,26(4). |
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| 作者姓名： | 张昆 杨茉 |
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| 作者单位： | 上海理工大学动力工程学院,上海,200093 |
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| 基金项目： | 国家自然科学基金资助项目(50876067); 上海市教委发展基金项目(J50501)资助 |
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| 摘 要： | 将紧致格式与低阶格式结合,构造紧致格式的修正项,并将修正项加入到源项中进行求解,得到了一种基于非均分网格求解泊松方程的紧致修正法,且将该方法应用于二维和三维泊松方程的数值求解中。数值计算结果表明:紧致修正方法的精度高于经典方法的精度,但四阶紧致修正方法比二阶经典方法对网格的依赖性强。
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| 关 键 词： | 泊松方程 非等距网格 紧致差分格式 紧致修正法 |
Compact correction method for Poisson equation |
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| ZHANG Kun,YANG Mo.Compact correction method for Poisson equation[J].Journal of Hydrodynamics,2011,26(4). |
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| Authors: | ZHANG Kun YANG Mo |
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| Affiliation: | ZHANG Kun,YANG Mo(College of Power Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China) |
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| Abstract: | In this paper combining the compact finite difference scheme with the classical finite difference scheme,the compact correction term was established and it was added to the source term.Then a new compact correction method for solving Poisson equation was developed on non-uniform grids.This method was applied to solving 2D or 3D Poisson equation.The results show that compact method has higher accuracy than the classical method,and the 4-order compact scheme is more sensitive to grid ratio than the 2-order cl... |
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| Keywords: | Poisson equation non-uniform mesh compact finite difference scheme compact correction method |
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