统一半解析边界处理SPH方法与不规则粒子分布  

Unified semi-analytical wall boundary treatment in SPH and irregular particle distribution

作　　者：骆钊[1] 汪淳[1] 

机构地区：[1]上海交通大学船舶海洋与建筑工程学院,上海200240

出　　处：《水动力学研究与进展（A辑）》2017年第2期189-197,共9页Chinese Journal of Hydrodynamics

基　　金：国家重点基础研究计划(973计划;2014CB046801)~~

摘　　要：光滑粒子流体动力学(smoothed particle hydrodynamics,SPH)方法是一种拉格朗日型无网格粒子方法,其中合适的边界处理方法一直是方法取得高精度的关键。该文介绍了一种新兴的SPH边界处理方法——统一半解析壁面边界条件处理方法(unified semi-analytical wall boundary conditions,USAW),并提出了两种不规则粒子分布。USAW边界处理方法结合不规则粒子分布能更方便地求解复杂边界问题。模拟了Couette流、静水和楔形体溃坝等算例,验证了方法处理复杂边界问题的有效性。Smoothed Particle Hydrodynamics（SPH） is a Lagrangian mesh-free particle numerical method. Boundary treatment approach in SPH is a key issue to perform accurate simulations. In this paper, a novel boundary treatment approach for SPH method, i.e. the unified semi-analytical wall（USAW） boundary conditions, is described, and two distribution schemes of irregular particles are proposed. USAW with irregular particle distribution is easy to implement and especially suitable for complex geometries, which is demonstrated by Couette flow, static water and dam break with a wedge.

关 键 词：SPH 边界处理 USAW 不规则粒子分布 

分 类 号：O242[理学—计算数学]