满足几何守恒律的高精度有限差分方法研究及其在大涡模拟中的应用.pdf

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1、分类号V211.3学号13019031UDC密级公开工学博士学位论文㕛䔄゙⼯㬹⽄㔪⭥ⷀ㈌Ⱙ䇱㻿⥏⳷Ⳟⳉ䁱㈠ゑ㡅䊻⫔㸱㚄㛃䐱⭥䇇䇤博士生姓名徐丹学科专业力学研究方向计算流体力学/高精度数值算法指导教师邓小刚教授⺛ⳡ㋧䁈ゝ㭖⫔䁈䁱㈠㪛䊛ⱟ∷䄜㡀㛋㯥䊣Thestudyofhigh-orderfinitedifferencemethodwithsatisfyinggeometricconservationlawanditsapplicationsinlargeeddysimulationsCandidate:XuD

2、anSupervisor:ProfessorDengXiaogangAdissertationSubmittedinpartialfulfillmentoftherequirementsforthedegreeofDoctorofEngineeringinAppliedandComputationalFluidDynamicsGraduateSchoolofNationalUniversityofDefenseTechnologyChangsha,Hunan,P.R.ChinaApril1,2017国防科学

3、技术大学研究生院博士学位论文目录摘要........................................................................................................................iABSTRACT.............................................................................................................

4、..iii第一章绪论............................................................................................................11.1研究背景...................................................................................................11.2高精度有限差分方法格式研究进展............

5、...........................................31.3几何守恒律发展概况...............................................................................61.4大涡模拟研究进展...................................................................................81.4.1湍流研究概述..............

6、..................................................................81.4.2大涡模拟研究................................................................................111.4.3隐式大涡模拟................................................................................121.5

7、本文的主要工作.......................................................................................14第二章高精度有限差分、有限体积方法对比研究............................................172.1前言........................................................................................

8、...................172.2控制方程和数值算法...............................................................................172.2.1高精度有限差分格式——WCNS.................................................182.2.2基于WENO的高精度有限体积格式..