流体动力学中的计算方法（第3版）

图书标准信息

• 作者 [美]弗兹格 著
• 出版社 世界图书出版公司
• 出版时间 2012-09
• 版次 1
• ISBN 9787510048012
• 定价 65.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 423页

【内容简介】

　　弗兹格编著的《流体动力学中的计算方法（第3版）》内容介绍：Computationalfluiddynamics,commonlyknownbytheacronym‘CFD’,isundergoingsignificantexpansionintermsofboththenumberofcoursesofferedatuniversitiesandthenumberofresearchersactiveinthefield.Thereareanumberofsoftwarepackagesavailablethatsolvefluidflowproblems;themarketisnotquiteaslargeastheoneforstructuralmechanicscodes,inwhichfiniteelementmethodsarewellestablished.Thelagcanbeexplainedbythe[actthatCFDproblemsare,ingeneral,moredifficulttosolve.However,CFDcodesareslowlybeingacceptedasdesigntoolsbyindustrialusers.Atpresent,usersofCFDneedtobefairlyknowledgeable,whichrequireseducationofbothstudentsandworkingengineers.Thepresentbookisanattempttofillthisneed.

【目录】

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