| 二维三温能量方程的Krylov子空间迭代求解 |
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| 引用本文： | 莫则尧,符尚武. 二维三温能量方程的Krylov子空间迭代求解[J]. 数值计算与计算机应用, 2003, 24(2): 133-143 |
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| 作者姓名： | 莫则尧 符尚武 |
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| 作者单位： | 北京应用物理与计算数学研究所高性能计算中心,计算物理实验室,100088 |
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| 基金项目： | 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 |
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| 摘 要： | §1.引言 惯性约束聚变(ICF)是实现热核聚变的一条重要途径,在ICF的研究中,数值模拟是非常重要的研究手段之一,为了全面、深入和细致地研究ICF的物理过程,特别是内爆动力学过程,文[1]的作者研制了求解二维三温(电子温度、离子温度和光子温度)辐射流体动
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| 修稿时间： | 2001-06-26 |
APPLICATION OF KRYLOV ITERATIVE METHODS IN TWO DIMENSIONAL THREE TEMPERATURES ENERGY EQUATION |
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| Mo Zeyao Fu Shanwu. APPLICATION OF KRYLOV ITERATIVE METHODS IN TWO DIMENSIONAL THREE TEMPERATURES ENERGY EQUATION[J]. Journal on Numerical Methods and Computer Applications, 2003, 24(2): 133-143 |
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| Authors: | Mo Zeyao Fu Shanwu |
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| Abstract: | 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. |
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| Keywords: | Two dimensional three temperatures equation Krylov subspace iterative method numerical simulation |
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