Simulation of two‐ and three‐dimensional viscoplastic flows using adaptive mesh refinement

Cotela‐Dalmau Jordi; Rossi Riccardo; Larese Antonia

摘要

Summary xml:id="nme5574-para-0001">This paper presents a finite element solver for the simulation of steady non‐Newtonian flow problems, using a regularized Bingham model, with adaptive mesh refinement capabilities. xml:id="nme5574-para-0002">The solver is based on a stabilized formulation derived from the variational multiscale framework. This choice allows the introduction of an a posteriori error indicator based on the small scale part of the solution, which is used to drive a mesh refinement procedure based on element subdivision. xml:id="nme5574-para-0003"> This approach applied to the solution of a series of benchmark examples, which allow us to validate the formulation and assess its capabilities to model 2 <fi>D</fi> and 3 <fi>D</fi> non‐Newtonian flows. </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：id =“nme5574-abs-abs-abs-0001”> <标题类型=“main”>摘要</ title> < P XML：ID =“NME5574-PARA-0001”>本文提出了一种有限元求解器，用于模拟稳定的非牛顿流量问题，采用正则化宾干模型，具有自适应网格精制功能。</ p> XML ：ID =“NME5574-PARA-0002”>求解器基于衍生自变差多尺度框架的稳定制剂。该选择允许基于解决方案的小规模部分引入后验误差指示器，其用于驱动基于元素细分的网格细化过程。</ p> xml：id =“nme5574-para- 0003“>这种方法适用于一系列基准示例的解决方案，这使我们能够验证制定并评估其模型2 <FI> D </ FI>和3 <FI> D </ FI>的功能牛顿流动。 </ p> </ abstract> </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-20801/'>《International Journal for Numerical Methods in Engineering》</a> <b style="margin: 0 2px;">|</b><span>2017年第11期</span><b style="margin: 0 2px;">|</b><span>共23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=Cotela‐Dalmau Jordi&option=202" target="_blank" rel="nofollow">Cotela‐Dalmau Jordi;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Rossi Riccardo&option=202" target="_blank" rel="nofollow">Rossi Riccardo;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Larese Antonia&option=202" target="_blank" rel="nofollow">Larese Antonia;</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>CIMNE ‐ Centre Internacional de Metodes Numerics en EnginyeriaCampus Nord UPCBarcelona c/Gran Capità s.n. 08034 Spain;</p> <p>CIMNE ‐ Centre Internacional de Metodes Numerics en EnginyeriaCampus Nord UPCBarcelona c/Gran Capità s.n. 08034 Spain;</p> <p>CIMNE ‐ Centre Internacional de Metodes Numerics en EnginyeriaCampus Nord UPCBarcelona c/Gran Capità s.n. 08034 Spain;</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/6940.html" title="工程数学">工程数学;</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=adaptive mesh refinement&option=203" rel="nofollow">adaptive mesh refinement;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Bingham model&option=203" rel="nofollow">Bingham model;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=variational multiscale stabilization&option=203" rel="nofollow">variational multiscale stabilization;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=viscoplastic fluids&option=203" rel="nofollow">viscoplastic fluids;</a> </p> <div class="translation"> 机译：自适应网格细化;宾厄姆模型;变分多尺度稳定;粘液液; 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