Numerical Simulation in Fluid Dynamics

A Practical Introduction

AvMichael Griebel,Thomas Dornseifer

Häftad, Engelska, 1997

Del i serien Mathematical Modeling and Computation

1 335 kr

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Beskrivning

In this translation of the German edition, the authors provide insight into the numerical simulation of fluid flow. Using a simple numerical method as an expository example, the individual steps of scientific computing are presented:The derivation of the mathematical model.The discretization of the model equations.The development of algorithms, - parallelization.Visualization of the computed data. In addition to the treatment of the basic equations for modeling laminar, transient flow of viscous, incompressible fluids - the Navier–Stokes equations - the authors look at the simulation of free surface flows, energy and chemical transport, and turbulence.Detailed hints for the implementation of the various algorithms enable readers to write their own flow simulation program from scratch. The variety of applications is shown in several simulation results, including 92 black-and-white and 18 color illustrations. Moreover, after reading this book, readers should be able to understand more enhanced algorithms of computational fluid dynamics and to apply their new knowledge of modeling, discretization, parallelization, and visualization to other scientific fields, where numerical simulation has established itself, in addition to theoretical investigations and practical experiments, as a new path for uncovering the laws of nature. Among these fields are the examination of elastic solids, combustion, melting and coating processes, and crystal growth, as well as weather prediction.

Produktinformation

Utgivningsdatum:1997-12-31
Mått:151 x 228 x 11 mm
Vikt:432 g
Format:Häftad
Språk:Engelska
Serie:Mathematical Modeling and Computation
Antal sidor:233
Förlag:Society for Industrial & Applied Mathematics,U.S.
ISBN:9780898713985

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Recensioner i media

'This book provides the basic techniques for solving many problems in incompressible fluid dynamics by numerical computations. It is mainly addressed to beginners in the subject, who seek a guide to solve such problems. However, it contains a wide class of subjects related to numerical computation in fluid dynamics that may help a specialist to better understand some specific subject not directly related with his domain of expertise.' Tomas Chacon Rebollo, Mathematical Reviews ' ... Keeping its limited scope in mind, Numerical Simulation in Fluid Dynamics provides a very readable introduction to the numerical solution of the incompressible Navier-Stokes equations which will be of interest to students and practising engineers concerned with incompressible flow problems.' Applied Mechanics Review '... Detailed hints for the implementation of various algorithms allow readers to write their own flow simulation program from scratch ...' SciTech Book News 'Mastery of numerical simulation will soon become indispensable in research and development as expensive experiments are replaced by computer simulations. This book, translated from German, provides a cross-disciplinary and application-oriented approach to training mathematicians, engineers and natural and computer scientists. ... Using a simple numerical method as an example, the individual steps of scientific computing are presented ...' Book News

Innehållsförteckning

NotationChapter 1: Numerical Simulation—a Key Technology of the Future. Physical Experiments, Mathematical Modeling, and Numerical SimulationFluids and FlowsNumerical Flow SimulationChapter 2: The Mathematical Description of Flows. The Mathematical Model: The Navier–Stokes EquationsThe Derivation of the Navier–Stokes EquationsDynamic Similarity of FlowsChapter 3: The Numerical Treatment of the Navier–Stokes Equations. The DiscretizationThe AlgorithmImplementationTreatment of General GeometriesChapter 4: Visualization Techniques. Standard TechniquesFlow Visualization by Particle Tracing and StreaklinesStream Function and VorticityChapter 5: Example Applications. Lid-Driven CavityFlow over a Backward-Facing StepFlow Past an ObstaclePipe JunctionFlow through Complex GeometriesFluid-Structure InteractionChapter 6: Free Boundary Value Problems. Determination of the Domain ShapeConditions along the Free BoundaryThe Extended AlgorithmImplementationChapter 7: Example Applications for Free Boundary Value Problems. The Breaking DamThe Splash of a Liquid DropFree-Surface Flow over a StepInjection MoldingCurtain CoatingChapter 8: Parallelization. Parallel Computers and Programming EnvironmentsDomain Decomposition as a Parallelization StrategyParallelization of the Flow CodeImplementation on a Network of Workstations Using PVMMeasuring PerformanceChapter 9: Energy Transport. Extending the Mathematical Model by the Energy EquationDerivation of the Energy EquationOn the Validity of the Boussinesq ApproximationDiscretization of the Energy Equation and Extension of the AlgorithmImplementationVisualization of Heat FlowExample ApplicationsChemical TransportChapter 10: Turbulence. Turbulent FlowsTurbulence ModelingDiscretization of the k-e ModelImplementationNumerical ResultsChapter 11: Extension to Three Dimensions. The Continuous EquationsDiscretization and AlgorithmExtensions and ModificationsExamples of 3D SimulationsChapter 12: Concluding Remarks. Appendix A: Guidelines for Parallelization Using PVMAppendix B: Physical Properties of FluidsBibliographyIndex