摘要
Two dimensional three temperatures energy equation is a kind of very impor-tant partial differential equation. In general, we discrete such equation with full implicit nine points stencil on Lagrange structured grid and generate a non-linear sparse algebraic equation including nine diagonal lines. This paper will discuss the iterative solver for such non-linear equations. We linearize the equations by fixing the coefficient matrix, and iteratively solve the linearized algebraic equation with Krylov subspace iterative method. We have applied the iterative method presented in this paper to the code Lared-Ⅰ for numerical simulation of two dimensional threetemperatures radial fluid dynamics, and have obtained efficient results.
Two dimensional three temperatures energy equation is a kind of very important partial differential equation. In general, we discrete such equation with full implicit nine points stencil on Lagrange structured grid and generate a non-linear sparse algebraic equation including nine diagonal lines. This paper will discuss the iterative solver for such non-linear equations. We linearize the equations by fixing the coefficient matrix, and iteratively solve the linearized algebraic equation with Krylov subspace iterative method. We have applied the iterative method presented in this paper to the code Lared-I for numerical simulation of two dimensional three temperatures radial fluid dynamics, and have obtained efficient results.
出处
《数值计算与计算机应用》
CSCD
北大核心
2003年第2期133-143,共11页
Journal on Numerical Methods and Computer Applications
基金
国家自然科学基金(60273030)
国家973项目大规模科学计算研究(G1999032805)
国家863计划资助
