数值计算与计算机应用
數值計算與計算機應用
수치계산여계산궤응용
JOURNAL ON NUMERICAL METHODS AND COMPUTER APPLICATIONS
2003年
2期
133-143
,共11页
Two dimensional three temperatures equation%Krylov subspace iterative method%numerical simulation
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.