A locally conservative and energy‐stable finite‐element method for the Navier‐Stokes problem on time‐dependent domains

机译：在时间依赖域的Navier-Stokes问题的局部保守和能量稳定的有限元方法

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Summary > We present a finite‐element method for the incompressible Navier‐Stokes problem that is locally conservative, energy‐stable, and pressure‐robust on time‐dependent domains. To achieve this, the space‐time formulation of the Navier‐Stokes problem is considered. The space‐time domain is partitioned into space‐time slabs, which in turn are partitioned into space‐time simplices. A combined discontinuous Galerkin method across space‐time slabs and space‐time hybridized discontinuous Galerkin method within a space‐time slab results in an approximate velocity field that is <fi>H</fi> (div)‐conforming and exactly divergence‐free, even on time‐dependent domains. Numerical examples demonstrate the convergence properties and performance of the method. </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 =“FLD4707-ABS-ABS-0001”> <标题类型=“main”>摘要</ title> > 我们为不可压缩的Navier-Stokes问题提出了一种有限元方法，即在局部保守，能量稳定和压力稳固的时间上依赖域。为此，考虑了Navier-Stokes问题的时空制定。空时域将分为时空板块，其又被划分为空时简化。在时空平板内跨越时空平板和时空杂交的不连续的Galerkin方法的组合的不连续的Galerkin方法导致近似的速度场 <fi> h </ fi> （div） - 即使在时间依赖的域中，也可以自由且完全不同。数值例证证明了该方法的收敛性和性能。 </ 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12期</span><b style="margin: 0 2px;">|</b><span>共14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=Horváth Tamás L.&option=202" target="_blank" rel="nofollow">Horváth Tamás L.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Rhebergen Sander&option=202" target="_blank" rel="nofollow">Rhebergen Sander;</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 Applied MathematicsUniversity of WaterlooWaterloo Canada;</p> <p>Department of Applied MathematicsUniversity of WaterlooWaterloo Canada;</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=discontinuous Galerkin&option=203" rel="nofollow">discontinuous Galerkin;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=hybridized&option=203" rel="nofollow">hybridized;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Navier‐Stokes&option=203" rel="nofollow">Navier‐Stokes;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=space time&option=203" rel="nofollow">space time;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=time‐dependent domains&option=203" rel="nofollow">time‐dependent domains;</a> </p> <div class="translation"> 机译：不连续的Galerkin;杂交;Navier-Stokes;空间时间;时间依赖域; </div> </li> <li> <span class="lefttit">入库时间</span> <span>2022-08-20 02:02:46</span> </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/0704022976122.html">A locally conservative and 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