Modified characteristics projection finite element method for time-dependent conduction-convection problems

Boundary value problems

Yunxia Wang¹  Zhiyong Si² 

[1] School of Materials Science and Engineering, Henan Polytechnic University, Jiaozuo, P.R. China;School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P.R. China

关键词: time-dependent conduction-convection problems;    modified characteristics method;    projection method;    stability analysis;    error estimate;    76M10;    65N12;    65N30;    35K61;   

DOI  :  10.1186/s13661-015-0420-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we give a modified characteristics projection finite element method for the time-dependent conduction-convection problems, which is gotten by combining the modified characteristics finite element method and the projection method. The stability and the error analysis shows that our method is stable and has optimal convergence order. In order to show the effect of our method, some numerical results are presented. From the numerical results, we can see that the modified characteristics projection finite element method can simulate the fluid field, temperature field, and pressure field very well.

【 授权许可】

CC BY