自由表面翻卷与破碎流动的SPH数值模拟  

Simulating free surface flow with over-turning and spraying using the smoothed particle hydrodynamics method

作　　者：郑兴[1] 许国冬[1] 段文洋[1] 

机构地区：[1]哈尔滨工程大学船舶工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2010年第3期301-306,共6页Journal of Harbin Engineering University

基　　金：国家自然科学基金资助项目(10572041;50779008);教育部博士点基金资助项目(20060217009)

摘　　要：对SPH方法模拟复杂强非线性自由表面流动的计算精度进行对比研究.介绍了SPH方法的基本原理,给出SPH方法的求解控制方程.探讨了人工可压缩性、边界条件、时间步进、位置修正方法的处理方法.对强非线性自由表面流动的典型情况涌浪问题进行了数值模拟,包括了波面的抬升、翻卷、重入和破碎等不同阶段.通过与边界元方法的比较分析,明确SPH方法模拟强非线性自由表面问题的规律和特点.The accuracy of calculations of violent non-linear free surface flow by the smoothed particle hydrodynamics （SPH） method was analyzed. The foundational theory behind SPH was discussed, and methods for resolution of the governing equations were given. Some key numerical techniques were discussed, which included artificial compressibility, boundary conditions, time stepping, and positional correction. The numerical results of bore simulations were given, including the phenomena of increased wave elevation, over-turning, re-entering and spraying. When compared to results from the boundary element method, SPH was found to better simulate violent free surface flows.

关 键 词：自由表面流动 SPH方法 涌浪模拟 边界元方法 

分 类 号：O35[理学—流体力学]