| 求解对流扩散方程的紧致修正方法 |
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| 引用本文： | 张昆,杨茉.求解对流扩散方程的紧致修正方法[J].工程热物理学报,2011(3):459-461. |
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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; |
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| 基金项目： | 国家自然科学基金资助项目(No.50876067); 上海教委科研创新重点项目(No.10ZZ91) |
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| 摘 要： | 提出了求解对流扩散方程的紧致修正方法,该方法是在低阶离散格式的源项中,引入紧致修正项,从而构造高阶紧致修正格式,并进行求解.采用紧致修正方法对典型的对流扩散方程进行计算.结果表明,紧致修正方法虽然与二阶经典差分方法建立在相同的结点数上,但紧致修正方法的精度与紧致方法的精度相同,均具有四阶精度.所以紧致修正方法可以在少网...
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| 关 键 词： | 紧致有限差分格式 紧致修正方法 对流扩散方程 |
A Compact Correction Method for Solving Convection Diffusion Equation |
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| ZHANG Kun YANG Mo.A Compact Correction Method for Solving Convection Diffusion Equation[J].Journal of Engineering Thermophysics,2011(3):459-461. |
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| Authors: | ZHANG Kun YANG Mo |
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| Institution: | ZHANG Kun YANG Mo (University of Shanghai for Science and Technology Shanghai 200093,China) |
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| Abstract: | A compact correction method is deduced for solving convection diffusion equation.By adding compact correction term into the source term of lower order discrete equation,higher order compact correction equation is established and solved.Two typical convection diffusion equations are solved by compact correction method.The results indicated that compact correction method is based on the same points as two order classical method,however,it has four order accuracy which is as same as compact method's,so compact... |
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| Keywords: | compact finite difference scheme compact correction method convection diffusion equation |
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