二维溃坝的数值模拟研究  

Numerical simulation of 2D dam-break flow

作　　者：胡健[1] 刘立超 HU Jian;LIU Lichao(College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China)

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：《应用科技》2018年第5期6-9,15,共5页Applied Science and Technology

基　　金：国家自然科学基金项目(51678045;51579052;11102048)

摘　　要：为了研究溃坝问题中流体的运动和自由液面的演变,针对简化的块状水坍塌进行了数值模拟。其中,流体控制方程通过有限体积法进行离散,方程的对流项和扩散项分别采用了一阶迎风格式和中心差分格式;对压力与速度耦合的离散方程以IDEAL算法进行求解;以流体体积分数法和PLIC方法进行自由液面捕捉和重构;对两相流问题中的表面张力通过连续表面力(CSF)模型进行转化。基于上,分别对有限空间内的二维溃坝和带障碍物溃坝问题进行了数值模拟,对不同时刻的自由液面进行了捕捉并与实验结果进行了对比,证明了所采用方法的精确性。In order to solve fluid movement and evolution of the free surface of liquid in the dam-break problem, thispaper presents a numerical simulation on the simplified block water collapse. The simulation uses the Finite VolumeMethod （FVM） to discretize the fluid control equation, applies the first order upwind scheme and center differencescheme to the convective term and diffusive term of the equation respectively; solves the discrete equations of thecoupling pressure and speed by IDEAL; captures and reconstructs the free surface of liquid by the Volume of Fluid（VOF） method and the procedural language for integrity constraints （PLIC） method; and transforms the surface tensionin the two-phase flow problem by the continuous surface force （CSF） model. On this basis, the two-dimensional dam-breaking problem and the problem of dam-breaking with barrier in a finite space were simulated respectively, and thefree surfaces of liquid at several moments were captured and compared with the experiment result, proving the accuracyof the methods mentioned above.

关 键 词：二维溃坝 障碍物 N-S方程 有限体积法 流体体积法 PLIC法 IDEAL算法 连续表面力模型 

分 类 号：O359.1[理学—流体力学]