砾石单元法与SPH耦合模型在数值波浪水槽中的应用研究  

Application research in channel waves with SPH and GEM coupling model

作　　者：李彦卿[1] 别社安[1] 李大鸣[1] 王鑫[2] LI Yan-qing;BIE She-an;LI Da-ming;WANG Xin(State Key Laboratory of Hydraulic Engineering Simulation and Safety,Tianjin University,Tianjin 300072,China;National Ocean Technology Center,Tianjin 300112,China)

机构地区：[1]天津大学水利工程仿真与安全国家重点实验室,天津300072 [2]国家海洋技术中心,天津300112

出　　处：《海洋科学》2020年第9期100-111,共12页Marine Sciences

基　　金：国家自然科学基金(51079095);国家自然科学基金创新研究群体科学基金(51021004)。

摘　　要：为研究以流体粒子描述波浪运动,以固体单元描述砾石运动的两相介质大变形运动,在港口、海岸工程科学研究中具有重要意义。本文提出砾石单元法(GEM),介绍了光滑粒子动力学方法(SPH)和GEM的基本原理,阐述了GEM与离散单元法(DEM)的异同之处,说明了采用SPH方法与GEM构建波浪砾石耦合运动数学模型的方法和过程。应用SPH方法建立数值波浪水槽,用GEM模拟波浪作用下堆积砾石的滚落、坍塌变形,构建了SPH方法与GEM耦合数学模型。模拟了水槽造波和波浪生成过程和波浪作用下砾石的滚落、坍塌变形,并与物理模型试验成果进行了比较,结果基本吻合。本文提出的GEM法具有模拟单相堆积砾石运动和堆积砾石与流体粒子耦合多相介质运动的功能,是对DEM法的补充和改善。本文提出的堆积力学球概念和拟序排列求解方法是砾石单元法的重要组成部分。To study the large deformation of the biphasic medium,whose fluid particles are used to describe the movement of the waves and Gravel is described by a solid element,a mathematical model of SPH–GEM coupling was established.SPH(Hydrodynamic Smooth Particles Method)is applied to establish a numerical wave flume,and the Gravel Element Method(GEM)is used to simulate the roll deformation and collapse of the Gravel under the action of waves.The GEM proposed in this article has the function of simulating the movement of single-phase gravel piling and coupling the movement of gravel and fluid particles in multiphase media.It is a complement of the Discrete Element Method(DEM).The article presents the basic principle of SPH and GEM,the similarities and differences between GEM and DEM.The SPH coupling wave flume with the GEM coupling method was explained and the mathematical model was established to simulate the water flume under the action of the waves.The wave generation process and the gravel fall,the result of the collapse deformation are compared with the results of the physical experiment.The results are basically consistent.The principle,method and application of the mathematical model coupled to SPH–GEM provide a new idea for researching a similar mathematical model.

关 键 词：光滑粒子动力学方法 砾石单元法 离散单元法 波浪数值水槽 

分 类 号：O353.2[理学—流体力学]