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首页> 外文期刊>International Journal for Numerical Methods in Fluids >High‐order DG solvers for underresolved turbulent incompressible flows: A comparison of LL 22 and HH (div) methods
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High‐order DG solvers for underresolved turbulent incompressible flows: A comparison of LL 22 and HH (div) methods

机译:高阶DG溶解器用于底溶的湍流不可压缩流动:比较 l l 2 2 和 h h (div)方法

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摘要

Summary > The accurate numerical simulation of turbulent incompressible flows is a challenging topic in computational fluid dynamics. For discretisation methods to be robust in the underresolved regime, mass conservation and energy stability are key ingredients to obtain robust and accurate discretisations. Recently, two approaches have been proposed in the context of high‐order discontinuous Galerkin (DG) discretisations that address these aspects differently. On the one hand, standard <fi>L</fi> 2 ‐based DG discretisations enforce mass conservation and energy stability weakly by the use of additional stabilisation terms. On the other hand, pointwise divergence‐free <fi>H</fi> (div)‐conforming approaches ensure exact mass conservation and energy stability by the use of tailored finite element function spaces. This work raises the question whether and to which extent these two approaches are equivalent when applied to underresolved turbulent flows. This comparative study highlights similarities and differences of these two approaches. The numerical results emphasise that both discretisation strategies are promising for underresolved simulations of turbulent flows due to their inherent dissipation mechanisms. </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 =“FLD4763-ABS-ABS-0001”> <标题类型=“main”>摘要</ title> > 湍流不可压缩流动的准确数值模拟是计算流体动力学中的具有挑战性的话题。由于在欠溶解的制度中稳健的离散方法,质量保护和能量稳定性是可靠性和准确的拆别的关键成分。最近,已经在高阶不连续的Galerkin(DG)离散地区的背景下提出了两种方法,这些方面不同地解决了这些方面。一方面,标准 <fi> l </ fi> 2 </ sup> 基于DG的拆除通过使用额外的稳定术语来强弱地实施大规模保护和能量稳定性。另一方面,不倾向于发散 <fi> h </ fi> (div) - 通过使用量身定制的有限元功能空间来确保精确的质量保护和能量稳定性。这项工作提出了当应用于湍流流动的湍流时,这两种方法等同的程度等等。该比较研究突出了这两种方法的相似之处和差异。数值结果强调,由于其固有的耗散机制,两种分散策略都是对湍流流动的次溶解模拟的承诺。 </ 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11期</span><b style="margin: 0 2px;">|</b><span>共24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=Fehn Niklas&option=202" target="_blank" rel="nofollow">Fehn Niklas;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Kronbichler Martin&option=202" target="_blank" rel="nofollow">Kronbichler Martin;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Lehrenfeld Christoph&option=202" target="_blank" rel="nofollow">Lehrenfeld Christoph;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Lube Gert&option=202" target="_blank" rel="nofollow">Lube Gert;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Schroeder Philipp W.&option=202" target="_blank" rel="nofollow">Schroeder Philipp W.;</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>Institute for Computational Mechanics Department of Mechanical EngineeringTechnical University of MunichGarching Germany;</p> <p>Institute for Computational Mechanics Department of Mechanical EngineeringTechnical University of MunichGarching Germany;</p> <p>Institute for Numerical and Applied MathematicsGeorg‐August‐Universit?t G?ttingenG?ttingen Germany;</p> <p>Institute for Numerical and Applied MathematicsGeorg‐August‐Universit?t G?ttingenG?ttingen Germany;</p> <p>Institute for Numerical and Applied MathematicsGeorg‐August‐Universit?t G?ttingenG?ttingen Germany;</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=high‐order finite elements&option=203" rel="nofollow">high‐order finite elements;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=incompressible Navier‐Stokes equations&option=203" rel="nofollow">incompressible Navier‐Stokes equations;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Taylor‐Green vortex&option=203" rel="nofollow">Taylor‐Green vortex;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=turbulent channel flow&option=203" rel="nofollow">turbulent channel flow;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=underresolved turbulent flows&option=203" rel="nofollow">underresolved turbulent flows;</a> </p> <div class="translation"> 机译:不连续的Galerkin;高阶有限元;不可压缩的Navier-Stokes方程式;泰勒 - 绿色涡旋;湍流通道流动;湍流流动; 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