二维对流扩散方程随机游动解 (孙秀丽; 冯民权; 郑邦民)

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二维对流扩散方程随机游动水利论文P2F9aN \(_ as

&K0kN*Y6yZ:mFLv%p0【作者】孙秀丽; 冯民权; 郑邦民 【作者单位】西安理工大学西北水资源与环境生态教育部重点实验室; 武汉大学

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0] kD4f&?2}3^0【论文摘要】 采用随机游动法对对流扩散方程求解,提出了二维对流扩散方程的5点以及完全 9点加权迎风格式的随机游动法解。应用随机游动法对二维空腔流流动特性进行了模拟,并与有限差分法进行了比较,同时对河流侧向排污过程中,水流的流动特性以及污染物的扩散转移进行了模拟计算。结果表明,加权迎风随机游动方法稳定性好,可应用到高雷诺数下的对流扩散问题的计算中,此计算方法是有效的.该方法可广泛应用于流体流动的各种场合.水利论文n2J{z5Z4Kd8k

A ^B4q T KN9_x0【英文论文摘要】 A random walk method was used to solve the convection-diffusion equation.Random walk solution of 5-point and the complete weighted up-wind schemes of 9-point was developed for 2D convection-diffusion equation,the random walk method was applied to simulate the water flow of 2D cavity,and at the same time the results were compared with finite difference method.The flow and pollutants diffusion were calculated in lateral discharge process.The result shows that the weighted up-wind random walk method has good stability,and it can be applied to simulate the convection-diffusion problems under high Reynolds number.The calculation method is effective and it can be widely used on various occasions of fluid flow.

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5Lo:F!k_/m[4ij|Y0【论文关键词】 二维对流扩散; 加权迎风; 随机游动法; 高雷诺数水利论文v}~)Wge$ie
【英文论文关键词】 2D convection-diffusion; weighted up-wind; random walk method; high Reynolds number

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TAG: 方程 冯民权 郑邦民 孙秀丽 随机游动
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