基于指数变换的对流占优反应扩散问题的有限体积法  

Finite Volume Method for Convection Dominated Reaction Diffusion Problems Based on Exponential Transformation

作　　者：邹享明 Zou Xiangming(School of Science,Northeastern University,Shenyang 110000,China)

机构地区：[1]东北大学理学院,辽宁沈阳110000

出　　处：《科学技术创新》2022年第22期53-58,共6页Scientific and Technological Innovation

摘　　要：本文运用指数变换将一般的对流占优反应扩散方程转化为守恒型形式,在三角形网格上构造出一种稳定且高精度的有限体积元格式;通过稳定性和误差分析,得出按L_(∞)模的与方程Peclet数及网格步长无关的一致稳定性及O(h^(2))阶误差估计。In this paper, the general convection dominated reaction-diffusion equation is transformed into a conservative form by using exponential transformation, and a stable and high-precision finite volume element scheme is constructed on triangular mesh;Through stability and error analysis, it is concluded that according to L_(∞) Uniform stability and 0(h^(2))error estimation of ∞ modulus independent of Peclet number and grid step size.

关 键 词：有限体积法 指数变换 稳定性 

分 类 号：O172[理学—数学]