Description
Taylor and Francis Computational Fluid Dynamics 2012 Edition by Frederic Magoules
Exploring new variations of classical methods as well as recent approaches appearing in the field, Computational Fluid Dynamics demonstrates the extensive use of numerical techniques and mathematical models in fluid mechanics. It presents various numerical methods, including finite volume, finite difference, finite element, spectral, smoothed particle hydrodynamics (SPH), mixed-element-volume, and free surface flow.Taking a unified point of view, the book first introduces the basis of finite volume, weighted residual, and spectral approaches. The contributors present the SPH method, a novel approach of computational fluid dynamics based on the mesh-free technique, and then improve the method using an arbitrary Lagrange Euler (ALE) formalism. They also explain how to improve the accuracy of the mesh-free integration procedure, with special emphasis on the finite volume particle method (FVPM). After describing numerical algorithms for compressible computational fluid dynamics, the text discusses the prediction of turbulent complex flows in environmental and engineering problems. The last chapter explores the modeling and numerical simulation of free surface flows, including future behaviors of glaciers.The diverse applications discussed in this book illustrate the importance of numerical methods in fluid mechanics. With research continually evolving in the field, there is no doubt that new techniques and tools will emerge to offer greater accuracy and speed in solving and analyzing even more fluid flow problems. Finite Volumes Methods, Jerome Boudet Introduction ConservativityControl volume integrationGridGeneral flux interpolationResolution and time discretizationConsistency, stability, and convergenceUpwind interpolation Particular case of structured gridsBoundary conditionsWeighted Residuals Methods, Fabien GodeferdIntroductionPrinciples of the weighted residuals methodCollocation or pseudo-spectral methodLeast squares methodMethod of momentsGalerkin approximationSubdomainsAn exampleSpectral Methods, Fabien GodeferdIntroduction Linear problem: Galerkin, tau, and collocation methods Applications: FourierApplications: Chebyshev Implicit equations Evaluation of nonlinear termsSmoothed-Particle Hydrodynamics (SPH) Methods, Francis Leboeuf and Jean-Christophe MarongiuIntroduction SPH approximation of a functionProperties of the kernel function WBarycenter of D(xi)Choices of the kernel function WSPH approximation of differential operators applied on a function oUsing a Taylor series expansion Concluding remarksApplication of SPH Methods to Conservation Equations, Francis Leboeuf and Jean-Christophe MarongiuGeneral form of conservation equationWeak SPH-ALE formulation of the conservation equations Application to flow conservation equationsBoundary conditionsApplications of SPH and SPH-ALE methodsFinite Volume Particle Methods (FVPM), Francis Leboeuf and Jean-Christophe MarongiuIntroduction Partition of unityAverage of a function o Derivatives of Conservation equation and FVPMConcluding remarksNumerical Algorithms for Unstructured Meshes, Bruno Koobus, Frederic Alauzet, and Alain DervieuxIntroductionSpatial representation Toward higher spatial order Positivity of mixed element-volume formulations3D multi-scales anisotropic mesh adaptation3D goal-oriented anisotropic mesh adaptationConcluding remarks LES, Variational Multiscale LES, and Hybrid Models, Hilde Ouvrard, Maria-Vittoria Salvetti, Simone Camarri, Stephen Wornom, Alain Dervieux, and Bruno KoobusIntroduction Numerical model Large eddy simulation (LES)Variational multiscale large eddy simulation (VMS-LES)Hybrid RANS/LESConcluding remarksNumerical Algorithms for Free Surface Flow, Alexandre Caboussat, Guillaume Jouvet, Marco Picasso, and Jacques RappazIntroductionA short review on two-phases flow with free surfacesSome preliminary remarks on ice and glacier modeling Modeling Time splitting schemeA two-grids method for space discretizationModeling of interfacial effectsNumerical results for liquid flow Numerical results for ice flow Concluding remarksBibliography