求解带有间断系数二维扩散方程的修正有限体积方法

续小磊; 冯秀芳

doi:10.3879/j.issn.1000-0887.2014.02.003

求解带有间断系数二维扩散方程的修正有限体积方法

doi: 10.3879/j.issn.1000-0887.2014.02.003

宁夏大学数学计算机学院, 银川 750021

基金项目: 国家自然科学基金(11161036);教育部科学技术研究重点项目(209134)

详细信息

作者简介:
续小磊(1986—), 男, 山西忻州人, 硕士生(E-mail: xuxiaoxiaolei123@163.com)

中图分类号: O241.82
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- 被引次数: 0
出版历程
- 收稿日期: 2013-08-16
- 修回日期: 2013-10-31
- 刊出日期: 2014-02-15

A Modified Finite Volume Approximation of 2-Dimensional Diffusion Equation With Discontinuous Coefficients

School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, P.R.China

Funds: The National Natural Science Foundation of China(11161036); The Key Project of Chinese Ministry of Education(209134)

摘要

摘要: 针对具有间断系数的二维扩散方程, 通过改进通量函数和调和平均系数的求解方法，提出了一种修正的有限体积方法.新方法得到的是无条件稳定的隐格式.数值实验结果表明该方法在处理间断系数问题时较经典的有限体积方法更为有效.
- 二维间断系数扩散方程 /
- 修正有限体积方法 /
- 界面问题
Abstract: A new modified finite volume method was presented to solve the 2-dimensional diffusion equation. Through improvement of the methods for solving the flux function and harmonic average coefficient, a new difference scheme was obtained for the diffusion equation with discontinuous coefficients. This scheme was an implicit difference scheme and was unconditionally stable. Subsequent numerical tests show that the presented method is more accurate than the classical finite volume method.
- diffusion equation with discontinuous coefficient /
- finite volume method /
- interface problem

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参考文献(14)

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