An implicit high‐order preconditioned flux reconstruction method for low‐Mach‐number flow simulation with dynamic meshes

机译：一种隐式高阶预处理磁通重建方法，具有动态网格的低马力数流模拟

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Summary >A fully implicit high‐order preconditioned flux reconstruction/correction procedure via reconstruction (FR/CPR) method is developed to solve the compressible Navier‐Stokes equations at low Mach numbers. A dual‐time stepping approach with the second‐order backward differentiation formula (BDF2) is employed to ensure temporal accuracy for unsteady flow simulation. When dynamic meshes are used to handle moving/deforming domains, the geometric conservation law is implicitly enforced to eliminate errors due to the resolution discrepancy between BDF2 and the spatial FR/CPR discretization. The large linear system resulted from the spatial and temporal discretizations is tackled with the restarted generalized minimal residual solver in the PETSc (portable, extensible toolkit for scientific computation) library. Through several benchmark steady and unsteady numerical tests, the preconditioned FR/CPR methods have demonstrated good convergence and accuracy for simulating flows at low Mach numbers. The new flow solver is then used to study the effects of Mach number on unsteady force generation over a plunging airfoil when operating in low‐Mach‐number flows. It is observed that weak compressibility has a significant impact on thrust generation but has a negligible effect on lift generation of an oscillating airfoil. </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 =“fld4759-abs-abs-0001”> <标题类型=“main”>摘要</ title> 通过重建（FR / CPR）方法，通过重建（FR / CPR）方法完全隐式的高阶预处理磁通重建/校正过程，以解决低马赫数的可压缩Navier-Stokes方程。采用具有二阶向下差分公式（BDF2）的双时踩踏方法，以确保不稳定流模拟的时间精度。当动态网格用于处理移动/变形域时，隐式强制执行几何保护法以消除由于BDF2和空间FR / CPR离散化的分辨率差异而消除错误。由于空间和时间离散化导致的大线性系统在PETSC（便携式，可扩展工具包中用于科学计算）库中的重新启动的广义最小剩余求解器。通过几个基准稳定和不稳定的数值测试，预处理的FR / CPR方法已经证明了在低马赫数下模拟流动的良好收敛性和精度。然后，新的流动求解器用于研究在低马蹄数流动时在狭窄的翼型上产生的马赫数对不稳定的力产生。观察到，弱压缩性对推力产生显着影响，但对振荡翼型的提升产生具有可忽略的影响。</ 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7期</span><b style="margin: 0 2px;">|</b><span>共19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=Wang Lai&option=202" target="_blank" rel="nofollow">Wang Lai;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Yu Meilin&option=202" target="_blank" rel="nofollow">Yu Meilin;</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 EngineeringUniversity of MarylandBaltimore Maryland;</p> <p>Department of Mechanical EngineeringUniversity of MarylandBaltimore Maryland;</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=dual‐time stepping&option=203" rel="nofollow">dual‐time stepping;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=dynamic meshes&option=203" rel="nofollow">dynamic meshes;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=flux reconstruction/correction procedure via reconstruction&option=203" rel="nofollow">flux reconstruction/correction procedure via reconstruction;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=high‐order methods&option=203" rel="nofollow">high‐order methods;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=low‐Mach‐number preconditioning&option=203" rel="nofollow">low‐Mach‐number preconditioning;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=unsteady flows&option=203" rel="nofollow">unsteady flows;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=weak compressibility&option=203" rel="nofollow">weak compressibility;</a> </p> <div class="translation"> 机译：双时踩踏;动态网格;通过重建的磁通重建/校正过程;高阶方法;低马克号预处理;不稳定的流动;弱压缩性; </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/0704022975808.html">An implicit high‐order preconditioned flux reconstruction method for low‐Mach‐number flow simulation with dynamic meshes</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Wang Lai&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Wang Lai,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Yu Meilin&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Yu Meilin 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