| 对流—扩散型方程数值解的混合E—L方法 |
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| 引用本文： | 许延生.对流—扩散型方程数值解的混合E—L方法[J].新疆农业大学学报,1988(1). |
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| 作者姓名： | 许延生 |
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| 作者单位： | 八一农学院水利系 |
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| 摘 要： | 为解决对流—扩散型方程数值解中出现的数值耗散和数值弥散,本文通过质点导数概念,将物理方程分解为Euler形式下的对流型方程和Lagrange形式下的扩散型方程,采用特征线法和区域离散数值方法分别求解,二者合成即为对流一扩散运动的整体数值模拟过程。数值试验表明:对于大Pe数,在激波区或解梯度较大的区域,本方法的数值解仍能保持较高精度。为数值模拟大气污染、水资源污染过程、粘性流体的流动过程及其他类似问题提供了一个良好的数值模型。
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| 关 键 词： | 数值耗散 数值弥散 对流扩散方程 |
A Mixed Euler-Lagrange Method for the Numerical Solution of Convection-Diffusion Equation |
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| Xu Yansheng.A Mixed Euler-Lagrange Method for the Numerical Solution of Convection-Diffusion Equation[J].Journal of Xinjiang Agricultural University,1988(1). |
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| Authors: | Xu Yansheng |
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| Institution: | Xu Yansheng |
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| Abstract: | To solve numerical dissipation and dispersion in numerical solution of convection-diffuson equation, a numerical procedure for simulating the convection-diffusion movement has been developed.The procedure is based on a governing equation which can be divided into Euler type convection equation and Lagrange type diffusion equation. The numerical experiment shows that the numerical solution can still be remained with a satisfactory precision for the high Peclet number condition in the shock wave region or in the region that has a steep solution gradient. |
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| Keywords: | numerical dissipation numerical dispersion convectiondiffusion equation |
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