应用等位函数法模拟溃坝流动

长江科学院院报 ›› 2008, Vol. 25 ›› Issue (2): 11-12.

应用等位函数法模拟溃坝流动

彭荣强

西华大学能源与环境学院，成都610039

出版日期:2008-04-01 发布日期:2012-03-05

Applying Level Set Method to Simulate Dam Break Flow PE

PENG Rong-Qiang

Online:2008-04-01 Published:2012-03-05

摘要/Abstract

摘要： 采用等位函数法配合三维不可压缩纳维叶-斯托克斯方程式的计算方法求解溃坝流场。控制方程式采用有限差分法求解，并利用投影法导出压力的波松方程，使得能自动满足连续方程式。此外，利用了WENO法求解等位函数方程的空间离散项。最后以三维溃坝问题做计算，发现数值计算结果与试验数据相当吻合，显示出数值模式的成功。

关键词: 等位函数法, 波松方程, 投影法, 加权本质无振荡格式, 溃坝流

Abstract: This paper applies the level set method in combination with the three dimensional incompressible NavierStokes equations to simulate dam break flows. The finite difference method is employed to discretize the governing equations and the projection method is used to derive a pressure Poisson equation that can ensure the satisfaction of continuity equation. In addition, the WENO method may solve the space discrete items of the level set equation. Finally, a 3D dam break computation is presented. The simulated results are in excellent agreement with experimental data. The numerical model is demonstrated to be successful.

彭荣强. 应用等位函数法模拟溃坝流动[J]. 长江科学院院报, 2008, 25(2): 11-12.

PENG Rong-Qiang. Applying Level Set Method to Simulate Dam Break Flow PE[J]. JOURNAL OF YANGTZE RIVER SCIENTIFIC RESEARCH INSTI, 2008, 25(2): 11-12.