An Improved Coupled Level Set and Continuous Moment-of-Fluid Method for Simulating Multiphase Flows with Phase Change  

作　　者：Zhouteng Ye Cody Estebe Yang Liu Mehdi Vahab Zeyu Huang Mark Sussman Alireza Moradikazerouni Kourosh Shoele Yongsheng Lian Mitsuhiro Ohta M.Yousuff Hussaini 

机构地区：[1]ZJUI Institute,Zhejiang University,Haining 314400,Zhejiang,China [2]Department of Mathematics,Florida State University,Tallahassee,USA [3]Department of Mechanical Engineering,Florida State University,Tallahassee,USA [4]Mechanical and Aerospace Engineering Mathworks,Natick,MA,USA [5]School of Aerospace Engineering,Tsinghua University,Beijing 100084,China [6]Department of Mechanical Engineering,University of Louisville,Louisville,USA [7]Department of Mechanical Science,Tokushima University,Tokushima,Japan

出　　处：《Communications on Applied Mathematics and Computation》2024年第2期1034-1069,共36页应用数学与计算数学学报（英文）

基　　金：supported by the National Aeronautics and Space Administration under grant number 80NSSC20K0352.

摘　　要：An improved algorithm for computing multiphase flows is presented in which the multimaterial Moment-of-Fluid(MOF)algorithm for multiphase flows,initially described by Li et al.(2015),is enhanced addressing existing MOF difficulties in computing solutions to problems in which surface tension forces are crucial for understanding salient flow mechanisms.The Continuous MOF(CMOF)method is motivated in this article.The CMOF reconstruction method inherently removes the"checkerboard instability"that persists when using the MOF method on surface tension driven multiphase(multimaterial)flows.The CMOF reconstruction algorithm is accelerated by coupling the CMOF method to the level set method and coupling the CMOF method to a decision tree machine learning(ML)algorithm.Multiphase flow examples are shown in the two-dimensional(2D),three-dimensional(3D)axisymmetric"RZ",and 3D coordinate systems.Examples include two material and three material multiphase flows:bubble formation,the impingement of a liquid jet on a gas bubble in a cryogenic fuel tank,freezing,and liquid lens dynamics.

关 键 词：Moment-of-Fluid(MOF) Surface tension Two phase flow Phase change Deforming boundaries with change(s)in topology Two-dimensional(2D) Three-dimensional(3D)axisymmetric 3D 

分 类 号：O24[理学—计算数学] O29[理学—数学]