流體動力學中的計算方法（第3版）

《流體動力學中的計算方法（第3版）》是2012年9月世界圖書出版公司出版的圖書，作者是[美] 弗茲格。

基本介紹

• 中文名：流體動力學中的計算方法（第3版）
• 作者：[美]弗茲格
• 出版時間：2012年9月
• 出版社：世界圖書出版公司
• ISBN：9787510048012 

內容簡介

弗茲格編著的《流體動力學中的計算方法（第3版）》內容介紹：Computationalfluiddynamics,commonlyknownbytheacronym‘CFD’,isundergoingsignificantexpansionintermsofboththenumberofcoursesofferedatuniversitiesandthenumberofresearchersactiveinthefield.Thereareanumberofsoftwarepackagesavailablethatsolvefluidflowproblems;themarketisnotquiteaslargeastheoneforstructuralmechanicscodes,inwhichfiniteelementmethodsarewellestablished.Thelagcanbeexplainedbythe actthatCFDproblemsare,ingeneral,moredifficulttosolve.However,CFDcodesareslowlybeingacceptedasdesigntoolsbyindustrialusers.Atpresent,usersofCFDneedtobefairlyknowledgeable,whichrequireseducationofbothstudentsandworkingengineers.Thepresentbookisanattempttofillthisneed.

目錄

Preface

1.BasicConceptsofFluidFlow

1.1Introduction

1.2ConservationPrinciples

1.3MassConservation

1.4MomentumConservation

1.5ConservationofScalarQuantities

1.6DimensionlessFormofEquations

1.7SimplifiedMathematicalModels

1.7.1IncompressibleFlow

1.7.2Inviscid（Euler）Flow

1.7.3PotentialFlow

1.7.4Creeping（Stokes）Flow

1.7.5BoussinesqApproximation

1.7.6BoundaryLayerApproximation

1.7.7ModelingofComplexFlowPhenomena

1.8MathematicalClassificationofFlows

1.8.1HyperbolicPlows

1.8.2ParabolicFlows

1.8.3EllipticFlows

1.8.4MixedFlowTypes

1.9PlanofThisBook

2.IntroductiontoNumericalMethods

2.1ApproachestoFluidDynamicalProblems

2.2WhatisCFD?

2.3PossibilitiesandLimitationsofNumericalMethods

2.4ComponentsofaNumericalSolutionMethod

2.4.1MathematicalModel

2.4.2DiscretizationMethod

2.4.3CoordinateandBasisVectorSystems

2.4.4NumericalGrid

2.4.5FiniteApproximations

2.4.6SolutionMethod

2.4.7ConvergenceCriteria

2.5PropertiesofNumericalSolutionMethods

2.5.1Consistency

2.5.2Stability

2.5.3Convergence

2.5.4Conservation

2.5.5Boundedness

2.5.6Realizability

2.5.7Accuracy

2.6DiscretizationApproaches

2.6.1FiniteDifferenceMethod

2.6.2FiniteVolumeMethod

2.6.3FiniteElementMethod

3.FiniteDifferenceMethods

3.1Introduction

3.2BasicConcept

3.3ApproximationoftheFirstDerivative

3.3.1TaylorSeriesExpansion

3.3.2PolynomialFitting

3.3.3CompactSchemes

3.3.4Non-UniformGrids

3.4ApproximationoftheSecondDerivative

3.5ApproximationofMixedDerivatives

3.6ApproximationofOtherTerms

3.7ImplementationofBoundaryConditions

3.8TheAlgebraicEquationSystem

3.9DiscretizationErrors

3.10AnIntroductiontoSpectralMethods

3.10.1BasicConcept

3.10.2AnotherViewofDiscretizationError

3.11Example

4.FiniteVolumeMethods

4.1Introduction

4.2ApproximationofSurfaceIntegrals

4.3ApproximationofVolumeIntegrals

4.4InterpolationandDifferentiationPractices

4.4.1UpwindInterpolation（UDS）

4.4.2LinearInterpolation（CDS）

4.4.3QuadraticUpwindInterpolation（QUICK）..

4.4.4Higher-OrderSchemes

4.4.5OtherSchemes

4.5ImplementationofBoundaryConditions

4.6TheAlgebraicEquationSystem

4.7Examples

SolutionofLinearEquationSystems

5.1Introduction

5.2DirectMethods

5.2.1GaussElimination

5.2.2LUDecomposition

5.2.3TridiagonalSystems

5.2.4CyclicReduction

5.3IterativeMethods

5.3.1BasicConcept

5.3.2Convergence

5.3.3SomeBasicMethods

5.3.4IncompleteLUDecomposition:Stone'sMethod

5.3.5ADIandOtherSplittingMethods

5.3.6ConjugateGradientMethods

5.3.7BiconjugateGradientsandCGSTAB

5.3.8MultigridMethods

5.3.9OtherIterativeSolvers

5.4CoupledEquationsandTheirSolution

5.4.1SimultaneousSolution

5.4.2SequentialSolution

5.4.3Under-Relaxation

5.5Non-LinearEquationsandtheirSolution

5.5.1Newton-likeTechniques

5.5.2OtherTechniques

5.6Deferred-CorrectionApproaches

5.7ConvergenceCriteriaandIterationErrors

5.8Examples

MethodsforUnsteadyProblems

6.1Introduction

6.2MethodsforInitialValueProblemsinODEs

6.2.1Two-LevelMethods

6.2.2Predictor-CorrectorandMultipointMethods

6.2.3Runge-KuttaMethods

6.2.4OtherMethods

6.3ApplicationtotheGenericTransportEquation

6.3.1ExplicitMethods

6.3.2ImplicitMethods

6.3.3OtherMethods

5.4Examples

7.SolutionoftheNavier-StokesEquations

7.1SpecialFeaturesoftheNavier-StokesEquations

7.1.1DiscretizationofConvectiveandViscousTerms

7.1.2DiscretizationofPressureTermsandBodyForces

7.1.3ConservationProperties

7.2ChoiceofVariableArrangementontheGrid

7.2.1ColocatedArrangement

7.2.2StaggeredArrangements

7.3CalculationofthePressure

7.3.1ThePressureEquationanditsSolution

7.3.2ASimpleExplicitTimeAdvanceScheme

7.3.3ASimpleImplicitTimeAdvanceMethod

7.3.4ImplicitPressure-CorrectionMethods

7.4OtherMethods

7.4.1FractionalStepMethods

7.4.2Streamfunction-VorticityMethods

7.4.3ArtificialCompressibilityMethods

7.5SolutionMethodsfortheNavier-StokesEquations

7.5.1ImplicitSchemeUsingPressure-CorrectionandaStag-

geredGrid

7.5.2TreatmentofPressureforColocatedVariables

7.5.3SIMPLEAlgorithmforaColocatedVariableArrange-

ment

7.6NoteonPressureandIncompressibility

7.7BoundaryConditionsfortheNavier-StokesEquations

7.8Examples

8.ComplexGeometries

8.1TheChoiceofGrid

8.1.1StepwiseApproximationUsingRegularGrids

8.1.2OverlappingGrids

8.1.3Boundary-FittedNon-OrthogonalGrids

8.2GridGeneration

8.3TheChoiceofVelocityComponents

8.3.1Grid-OrientedVelocityComponents

8.3.2CartesianVelocityComponents

8.4TheChoiceofVariableArrangement

8.4.1StaggeredArrangements

8.4.2ColocatedArrangement

8.5FiniteDifferenceMethods

8.5.1MethodsBasedonCoordinateTransformation

8.5.2MethodBasedonShapeFunctions

8.6FiniteVolumeMethods

8.6.1ApproximationofConvectiveFluxes

8.6.2ApproximationofDiffusiveFluxes

8.6.3ApproximationofSourceTerms

8.6.4Three-DimensionalGrids

8.6.5Block-StructuredGrids

8.6.6UnstructuredGrids

8.7Control-Volume-BasedFiniteElementMethods

8.8Pressure-CorrectionEquation

8.9Axi-SymmetricProblems

8.10ImplementationofBoundaryConditions

8.10.1Inlet

8.10.2Outlet

8.10.3ImpermeableWalls

8.10.4SymmetryPlanes

8.10.5SpecifiedPressure

8.11Examples

9.TurbulentFlows

9.1Introduction

9.2DirectNumericalSimulation（DNS）

9.2.1Example:SpatialDecayofGridTurbulence

9.3LargeEddySimulation（LES）

9.3.1SmagorinskyandRelatedModels

9.3.2DynamicModels

9.3.3DeconvolutionModels

9.3.4Example:FlowOveraWall-MountedCube

9.3.5Example:StratifiedHomogeneousShearFlow

9.4RANSModels

9.4.1Reynolds-AveragedNavier-Stokes（RANS）Equations

9.4.2SimpleTurbulenceModelsandtheirApplication

9.4.3Thev2fModel

9.4.4Example:FlowAroundanEngineValve

9.5ReynoldsStressModels

9.6VeryLargeEddySimulation

10.CompressibleFlow

10.1Introduction

10.2Pressure-CorrectionMethodsforArbitraryMachNumber

10.2.1Pressure-Velocity-DensityCoupling

10.2.2BoundaryConditions

10.2.3Examples

10.3MethodsDesignedforCompressibleFlow

10.3.1AnOverviewofSomeSpecificMethods

11.EfficiencyandAccuracyImprovement

11.1ErrorAnalysisandEstimation

11.1.1DescriptionofErrors

11.1.2EstimationofErrors

11.1.3RecommendedPracticeforCFDUncertaintyAnalysis

11.2Gridqualityandoptimization

11.3MultigridMethodsforFlowCalculation

11.4AdaptiveGridMethodsandLocalGridRefinement

11.5ParallelComputinginCFD

11.5.1IterativeSchemesforLinearEquations

11.5.2DomainDecompositioninSpace

11.5.3DomainDecompositioninTime

11.5.4EfficiencyofParallelComputing

12.SpecialTopics

12.1Introduction

12.2HeatandMassTransfer

12.3FlowsWithVariableFluidProperties

12.4MovingGrids

12.5Free-SurfaceFlows

12.5.1Interface-TrackingMethods

12.5.2HybridMethods

12.6MeteorologicalandOceanographicApplications

12.7Multiphaseflows

12.8Combustion

A.Appendices

A.1ListofComputerCodesandHowtoAccessThem

A.2ListofFrequentlyUsedAbbreviations

References

Index