有限元方法：流体力学

图书标准信息

• 作者 [英]监凯维奇 著
• 出版社 世界图书出版公司
• 出版时间 2008-12
• 版次 1
• ISBN 9787506292566
• 定价 65.00元
• 装帧 平装
• 开本 32开
• 纸张 胶版纸
• 页数 435页
• 正文语种 英语

【内容简介】

　　这是一套在国际上颇具权威性的经典著作（共三卷）,由有限元法的创始人Zienkiewicz教授和美国加州大学Taylor教授合作撰写,初版于1967年,多次修订再版,深受力学界和工程界科技人员的欢迎。本套书的特点是理论可靠，内容全面，既有基础理论，又有其具体应用。
　　第2卷目次：固体力学和非线性的一般问题；Galerkin近似方法；非线性代数方程的解；非弹性和非线性材料；几何非线性问题—有限变形；有限性变的材料构成；约束处理；伪刚性体和刚柔性体；离散元方法；一维结构力学问题；板弯曲近似：薄（Kirchhoff）板和C1连续性要求；厚Reissner-Mindlin板—不可简缩的和混合公式；作为扁平单元的壳；轴对称壳；作为三维分析的特殊情形的壳—Reissner-Mindlin假定；半解析有限元法—正交函数的利用和‘有限带’法；非线性结构问题—大位移和失稳；多尺度模型；有限元分析的计算机程序。
　　读者对象：计算力学、力学、土木、水利、机械、航天航空等领域的专家、教授、工程技术人员和研究生。

【目录】

Preface
Acknowledgements
1Introductiontotheequationsoffluiddynamicsandthefiniteelementapproximation
1.1Generalremarksandclassificationoffluiddynamicsproblemsdiscussedinthisbook
1.2Thegoverningequationsoffluiddynamics
1.3Inviscid，incompressibleflow
1.4Incompressible(ornearlyincompressible)flows
1.5Numericalsolutions：weakforms，weightedresidualandfiniteelementapproximation
1.6Concludingremarks
References

2Convectiondominatedproblems-finiteelementapproximationstotheconvection——diffusion-reactionequation
2.1Introduction
2.2Thesteady-stateprobleminonedimension
2.3Thesteady-stateproblemintwo(orthree)dimensions
2.4Steadystate-concludingremarks
2.5Transients-introductoryremarks
2.6Characteristic-basedmethods
2.7Taylor-Galerkinproceduresforscalarvariables
2.8Steady-statecondition
2.9Non-linearwavesandshocks
2.10Treatmentofpureconvection
2.11Boundaryconditionsforconvection-diffusion
2.12Summaryandconcludingremarks
References

3Thecharacteristic-basedsplit(CBS)algorithm.Ageneralprocedureforcompressibleandincompressibleflow
3.1Introduction
3.2Non-dimensionalformofthegoverningequations
3.3Characteristic-basedsplit(CBS)algorithm
3.4Explicit，semi-implicitandnearlyimplicitforms
3.5Artificialcompressibilityanddualtimestepping
3.6CircumventionoftheBabuska-Brezzi(BB)restrictions
3.7Asingle-stepversion
3.8Boundaryconditions
3.9Theperformanceoftwo-stepandone-stepalgorithmsonaninviscidproblem
3.10Concludingremarks
References

4IncompressibleNewtonianlaminarflows
4.1Introductionandthebasicequations
4.2UseoftheCBSalgorithmforincompressibleflows
4.3Adaptivemeshrefinement
4.4Adaptivemeshgenerationfortransientproblems
4.5Slowflows-mixedandpenaltyformulations
4.6Concludingremarks
References

5Incompressiblenon-Newtonianflows
5.1Introduction
5.2Non-Newtonianflows-metalandpolymerforming
5.3Viscoelasticflows
5.4Directdisplacementapproachtotransientmetalforming
5.5Concludingremarks
References

6Freesurfaceandbuoyancydrivenflows
6.1Introduction
6.2Freesurfaceflows
6.3Buoyancydrivenflows
6.4Concludingremarks
References

7Compressiblehigh-speedgasflow
7.1Introduction
7.2Thegoverningequations
7.3Boundaryconditions.-subsonicandSuoersonicfl0w
7.4NumericalapproximationsandtheCBSalgorithm
7.5Shockcapture
7.6Variablesmoothing
7.7SomepreliminaryexamplesfortheEulerequation
7.8AdaptiverefinementandshockcaptureinEulerproblems
7.9Three-dimensionalinviscidexamplesinsteadystate
7.10Transienttwo-andthree-dimensionalproblems
7.11Viscousproblemsintwodimensions
7.12Three-dimensionalviscousproblems
7.13Boundarylayer-inviscidEulersolutioncoupling
7.14Concludingremarks
References

8Turbulentflows
8.1Introduction
8.2Treatmentofincompressibleturbulentflows
8.3Treatmentofcompressibleflows
8.4Largeeddysimulation
8.5DetachedEddySimulation(DES)
8.6DirectNumericalSimulation(DNS)
8.7Concludingremarks
References

9Generalizedflowthroughporousmedia
9.1Introduction
9.2Ageneralizedporousmediumflowapproach
9.3Discretizationprocedure
9.4Non-isothermalflows
9.5Forcedconvection
9.6Naturalconvection
9.7Concludingremarks
References

10Shallowwaterproblems
10.1Introduction
10.2Thebasisoftheshallowwaterequations
10.3Numericalapproximation
10.4Examplesofapplication
10.5Dryingareas
10.6Shallowwatertransport
10.7Concludingremarks
References

11Longandmediumwaves
11.1Introductionandequations
11.2Wavesincloseddomains-finiteelementmodels
11.3Difficultiesinmodellingsurfacewaves
11.4Bedfrictionandothereffects
11.5Theshort-waveproblem
11.6Wavesinunboundeddomains(exteriorsurfacewaveproblems)
11.7Unboundedproblems
11.8LocalNon-ReflectingBoundaryConditions(NRBCs)
11.9Infiniteelements
11.10Mappedperiodic(unconjugated)infiniteelements
11.11EllipsoidaltypeinfiniteelementsofBurnettandHolford
11.12Waveenvelope(orconjugated)infiniteelements
11.13Accuracyofinfiniteelements
11.14Trefftztypeinfiniteelements
11.15Convectionandwaverefraction
11.16Transientproblems
11.17Linkingtoexteriorsolutions(orDtNmapping)
11.18Three-dimensionaleffectsinsurfacewaves
11.19Concludingremarks
References

12Shortwaves
12.1Introduction
12.2Background
12.3Errorsinwavemodelling
12.4Recentdevelopmentsinshortwavemodelling
12.5Transientsolutionofelectromagneticscatteringproblems
12.6Finiteelementsincorporatingwaveshapes
12.7Refraction
12.8Spectralfiniteelementsforwaves
12.9DiscontinuousGalerkinfiniteelements(DGFE)
12.10Concludingremarks
References

13ComputerimplementationoftheCBSalgorithm
13.1Introduction
13.2Thedatainputmodule
13.3Solutionmodule
13.4Outputmodule
References

AppendixANon-conservativeformofNavier-Stokesequations
AppendixBSelf-adjointdifferentialequations
AppendixCPostprocessing
AppendixDIntegrationformulae
AppendixEConvection——diffusionequations：vector-valuedvariables
AppendixFEdge-basedfiniteelementformulation
AppendixGMultigridmethod
AppendixHBoundarylayer-inviscidflowcoupling
AppendixIMass-weightedaveragedturbulencetransportequations
Authorindex
Subjectindex