| 蒙特卡罗法在势流计算中的应用研究 |
| |
| 引用本文： | 吉庆丰,郑邦民.蒙特卡罗法在势流计算中的应用研究[J].水科学进展,2004,15(4):415-419. |
| |
| 作者姓名： | 吉庆丰 郑邦民 |
| |
| 作者单位： | 1.扬州大学水利科学与工程学院, 江苏, 扬州, 225009; |
| |
| 基金项目： | 国家自然科学基金资助项目(50279044)~~ |
| |
| 摘 要： | 针对水动力学实际问题多存在复杂几何边界的状况,提出了用不规则游动网格求解偏微分方程的蒙特卡罗法,建立了相应的随机游动模型。选择具有复杂自由面的堰闸流动问题作为算例,验证了新方法的正确性。与有限元法相比,蒙特卡罗法解势流等线性问题时更灵活,可以根据需要,单独计算流动区域内任意一点的未知物理量,且所用计算容量较少。
|
| 关 键 词： | 蒙特卡罗法 不规则游动网格 随机游动模型 复杂边界 势流 |
| 文章编号： | 1001-6791(2004)04-0415-05 |
| 收稿时间： | 2003-04-25 |
| 修稿时间： | 2003年4月25日 |
Applications of the Monte Carlo method to potential flow |
| |
| JI Qing-feng,ZHENG Bang-min.Applications of the Monte Carlo method to potential flow[J].Advances in Water Science,2004,15(4):415-419. |
| |
| Authors: | JI Qing-feng ZHENG Bang-min |
| |
| Institution: | 1.College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou 225009, China;2.College of Water Resources and Hydropower, Wuhan University, Wuhan 430072, China |
| |
| Abstract: | The Monte Carlo method is applied to simulate the flow with complex boundaries. In order to improve the simulation precision, a new Monte Carlo method with irregular random walk grid for solving the partial differential equation is presented. The sluice and spillway flow is solved by the Monte Carlo method. The numerical results agree well with the experiment data. Compared with the finite element method, the Monte Carlo method is more effective for linear problems such as potential flow. It can calculate the velocity and pressure respectively at any points in flow field. |
| |
| Keywords: | Monte Carlo method irregular random walk grid random walk model complex boundary potential flow |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《水科学进展》浏览原始摘要信息 |
| 点击此处可从《水科学进展》下载免费的PDF全文 |
