Analytical interface reconstruction algorithms in the PLIC‐VOF method for 3D polyhedral unstructured meshes

机译：三维多面体非结构化网格PLIC-VOF方法中的分析界面重建算法

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Summary >Piecewise linear interface calculation (PLIC) schemes have been extensively employed in the volume‐of‐fluid (VOF) method for interface capturing in numerical simulations of multiphase flows. Polyhedral unstructured meshes are often adopted due to their geometric flexibility and superiority in gradient calculation. Four analytical interface reconstruction algorithms in the PLIC‐VOF method for arbitrary convex polyhedral cells have been proposed in this study. The plane interface at a given orientation within a polyhedral cell is located by four different analytical techniques. They have been tested successfully for six different geometric shapes that are common in polyhedral meshes. The computational efficiencies of the algorithms have been compared with two other published schemes in the literature. The proposed algorithms have been shown to yield smaller truncation errors with reduction in computational complexity. A numerical simulation of a 3D dam‐breaking problem has been successfully performed using the proposed interface reconstruction scheme on a polyhedral mesh. The percentage of the overall computational time consumed has been assessed to justify its optimization in a real multiphase flow simulation. </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 Type =“main”XML：Lang =“en”XML：ID =“FLD4750-ABS-ABS-0001”> <标题类型=“main”>摘要</ title> 分段线性界面计算（PLIC）方案在多相流的数值模拟中被广泛使用流体体积（VOF）方法中的界面捕获。由于它们的几何柔性和梯度计算的优越性，通常采用多面体非结构化网格。本研究已经提出了四种分析界面重建算法中的PLIC-VOF方法。在多面体电池内的给定取向的平面界面位于四种不同的分析技术。它们已成功地测试了六种不同的几何形状，这些形状在多面体网格中很常见。将算法的计算效率与文献中的另外两种公开的方案进行了比较。已经显示了所提出的算法，以产生较小的截断误差，随着计算复杂性的降低。已经使用多面体网格上的界面重建方案成功地执行了3D坝断裂问题的数值模拟。已经评估了整个计算时间的百分比，以证明其在真实的多相流动模拟中的优化。</ 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>2019年第5期</span><b style="margin: 0 2px;">|</b><span>共15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=Dai Dezhi&option=202" target="_blank" rel="nofollow">Dai Dezhi;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Tong Albert Y.&option=202" target="_blank" rel="nofollow">Tong Albert Y.;</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>Department of Mechanical and Aerospace EngineeringThe University of Texas at ArlingtonArlington Texas;</p> <p>Department of Mechanical and Aerospace EngineeringThe University of Texas at ArlingtonArlington Texas;</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=analytical method&option=203" rel="nofollow">analytical method;</a> <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=PLIC&option=203" rel="nofollow">PLIC;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=polyhedral mesh&option=203" rel="nofollow">polyhedral mesh;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=unstructured mesh&option=203" rel="nofollow">unstructured mesh;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=VOF&option=203" rel="nofollow">VOF;</a> </p> <div class="translation"> 机译：分析方法;多相流动;PLIC;多面体网;非结构化网格;vof; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704022975813.html">Analytical interface reconstruction algorithms in the PLIC‐VOF method for 3D polyhedral unstructured meshes</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Dai Dezhi&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Dai Dezhi,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Tong Albert Y.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Tong Albert Y. </a> <a href="/journal-foreign-20811/" target="_blank" rel="nofollow" class="tuijian_authcolor">International Journal for Numerical Methods in Fluids .</a> <span>2019</span><span>,第5期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：三维多面体非结构化网格PLIC-VOF方法中的分析界面重建算法</span> </p> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/academic-journal-foreign_computers-mathematics-with-applications_thesis/0204113013826.html">A paraboloid fitting technique for calculating curvature from piecewise-linear interface reconstructions on 3D unstructured meshes</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Jibben Z.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Jibben Z.,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Carlson N. 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href="/academic-degree-domestic_mphd_thesis/020315123361.html">扩展多面体离散元方法及其在海洋结构冰载荷分析中的应用</a> <b>[A] </b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=刘璐&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 刘璐</a> <span> . 2019</span> </span> </div> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/patent-detail/06120106345778.html">基于TIN的地质界面三维形态分析方法</a> <b>[P]</b> . <span> 中国专利： CN102147934A </span> <span> . 2011-08-10</span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/patent-detail/061203878094.html">一种三维力学有限元模态分析中的接触分析方法</a> <b>[P]</b> . <span> 中国专利： CN107515982B </span> <span> . 2020.08.11</span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/patent-detail/06130415185032.html">Apparatus for examination of a body in 3D reconstruction and a contour of the body of an object of interest, the user interface for visualization of 3D 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