An improved penalty immersed boundary method for multiphase flow simulation

Huang Wei‐Xi; Guo Wei

摘要

Summary >An improved version of the penalty immersed boundary method is proposed for simulating multiphase flows with nonuniform density and moving interface. The background fluid with a uniform density is solved on the fixed Eulerian grid, while the excessive mass is modelled by the Lagrangian points. Both the positive and negative density differences are taken into account, and the surface tension is included in the formulation. For validation of the present method, the Rayleigh‐Taylor instability problem and deformation of a droplet in a simple shear flow are computed. The numerical results are compared with the previous studies and the spatial accuracy is between the first and second order. Convergence of the computational results as the penalty coefficient increases is obtained. Furthermore, interaction of the fluid‐fluid interface with the rigid surface is also considered. To improve the numerical stability, the reinitialization operation is introduced to guarantee the quality of the Lagrangian mesh. As a demonstrating example, a droplet bypassing an obstacle in a channel flow is tested. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><Abstract XMLNS =“http://www.wiley.com/namespaces/wiley”type =“main”xml：lang =“en”> <标题类型=“main”>摘要</ title> 提出了一种改进的惩罚浸没边界方法，用于模拟具有非均匀密度和移动界面的多相流。在固定的欧拉栅格上求出具有均匀密度的背景流体，而大量质量由拉格朗日点建模。考虑正密度和负密度差异，表面张力包括在制剂中。为了验证本方法，计算了简单剪切流中的瑞利泰勒不稳定性问题和液滴的变形。将数值结果与先前的研究进行比较，并且空间精度在第一和二阶之间。获得了计算结果的收敛，因为惩罚系数增加。此外，还考虑了流体 - 流体界面与刚性表面的相互作用。为了提高数值稳定性，引入了重新初始化操作以保证拉格朗日网格的质量。作为说明示例，测试了液滴在通道流中绕过障碍物。</ p> </摘要> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-20811/'>《International Journal for Numerical Methods in Fluids》</a> <b style="margin: 0 2px;">|</b><span>2018年第9期</span><b style="margin: 0 2px;">|</b><span>共16页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Huang Wei‐Xi&option=202" target="_blank" rel="nofollow">Huang Wei‐Xi;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Guo Wei&option=202" target="_blank" rel="nofollow">Guo Wei;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>AML Department of Engineering MechanicsTsinghua UniversityBeijing China;</p> <p>AML Department of Engineering MechanicsTsinghua UniversityBeijing China;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/1155.html" title="流体力学">流体力学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=multiphase flow&option=203" rel="nofollow">multiphase flow;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=nonuniform density&option=203" rel="nofollow">nonuniform density;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=penalty immersed boundary method&option=203" rel="nofollow">penalty immersed boundary method;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=reinitialization&option=203" rel="nofollow">reinitialization;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=surface tension&option=203" rel="nofollow">surface tension;</a> </p> <div class="translation"> 机译：多相流动;非均匀密度;惩罚浸没边界法;重新初始化;表面张力; 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