A high‐order Runge‐Kutta discontinuous Galerkin method with a subcell limiter on adaptive unstructured grids for two‐dimensional compressible inviscid flows

Giri Pritam; Qiu Jianxian

摘要

Summary >A robust, adaptive unstructured mesh refinement strategy for high‐order Runge‐Kutta discontinuous Galerkin method is proposed. The present work mainly focuses on accurate capturing of sharp gradient flow features like strong shocks in the simulations of two‐dimensional inviscid compressible flows. A posteriori finite volume subcell limiter is employed in the shock‐affected cells to control numerical spurious oscillations. An efficient cell‐by‐cell adaptive mesh refinement is implemented to increase the resolution of our simulations. This strategy enables to capture strong shocks without much numerical dissipation. A wide range of challenging test cases is considered to demonstrate the efficiency of the present adaptive numerical strategy for solving inviscid compressible flow problems having strong shocks. </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 =“FLD4757-ABS-ABS-0001”> <标题类型=“main”>摘要</ title> 提出了一种强大的，适应性的高阶跑步速度达不连续Galerkin方法的自适应非结构化网格细化策略。目前的工作主要集中在准确地捕获夏普梯度流动特征，如二维活性可压缩流动模拟中的强烈冲击。后验有限体积亚细胞限制器用于受冲击影响的细胞中，以控制数值杂散振荡。实现了一种有效的逐个细胞自适应网格细化，以增加我们的模拟的分辨率。这种策略使得能够在没有多大数值耗散的情况下捕捉强烈的冲击。广泛的具有挑战性的测试用例被认为展示了解决具有强烈冲击的抗体可压缩流动问题的本自适应数值策略的效率。</ 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8期</span><b style="margin: 0 2px;">|</b><span>共28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=Giri Pritam&option=202" target="_blank" rel="nofollow">Giri Pritam;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Qiu Jianxian&option=202" target="_blank" rel="nofollow">Qiu Jianxian;</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>Fujian Provincial Key Laboratory of Mathematical Modeling and High‐Performance Scientific Computation School of Mathematical SciencesXiamen UniversityXiamen 361005 China;</p> <p>Fujian Provincial Key Laboratory of Mathematical Modeling and High‐Performance Scientific Computation School of Mathematical SciencesXiamen UniversityXiamen 361005 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=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=Euler equations&option=203" rel="nofollow">Euler equations;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=HWENO method&option=203" rel="nofollow">HWENO method;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Runge‐Kutta discontinuous Galerkin method&option=203" rel="nofollow">Runge‐Kutta discontinuous Galerkin method;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=subcell limiter&option=203" rel="nofollow">subcell limiter;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=WENO method&option=203" rel="nofollow">WENO method;</a> </p> <div class="translation"> 机译：自适应网格细化;欧拉方程;HweNo方法;跑步 - 库特拉不连续的Galerkin方法;子电池限制器;Weno方法; 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