| 解对流扩散方程的显式交替方向法 |
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| 引用本文： | 刘晓遇.解对流扩散方程的显式交替方向法[J].清华大学学报(自然科学版),1999,39(12). |
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| 作者姓名： | 刘晓遇 |
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| 作者单位： | 清华大学,数学科学系,北京,100084 |
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| 基金项目： | 中国工程物理研究院院外科学技术基金 |
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| 摘 要： | 研究了求解二维时间依赖的对流扩散方程的显式交替方向法。证明了在一个时间步长中迭代算法的收敛性。用此法数值求解了二维线性和非线性对流扩散方程。数值结果表明，算法具有较高精度。由于算法是显式求解，因此具有很好的并行性，适合于在并行机上解决大规模计算问题。
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| 关 键 词： | 显式交替方向(EDA)法 交替方向隐式(ADI)格式 对流扩散方程 Burgers非线性偏微分方程 收敛性 |
Explicit alternating direction method for solution of convection-diffusion equations |
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| LIU Xiaoyu.Explicit alternating direction method for solution of convection-diffusion equations[J].Journal of Tsinghua University(Science and Technology),1999,39(12). |
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| Authors: | LIU Xiaoyu |
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| Abstract: | An explicit alternating direction (EDA) method for numerical solution of time dependent two dimensional convict diffusion equations was studied. It was proved that the iterative method is convergent in one time step. This method could also be used for Burgers partial differential equations. Numerical results show that the method has high accuracy. This method is ideally suitable for massively parallel computers because of its explicitness. |
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