COMPUTATIONAL FLUID DYNAMICS (Paperback)

Finite Volumes Methods, Jerome Boudet Introduction ConservativityControl volume integrationGridGeneral flux interpolationResolution and time discretizationConsistency, stability, and convergenceUpwind interpolation Particular case of structured gridsBoundary conditions Weighted Residuals Methods, Fabien GodeferdIntroductionPrinciples of the weighted residuals methodCollocation or pseudo-spectral methodLeast squares methodMethod of momentsGalerkin approximationSubdomainsAn example Spectral Methods, Fabien GodeferdIntroduction Linear problem: Galerkin, tau, and collocation methods Applications: FourierApplications: Chebyshev Implicit equations Evaluation of nonlinear terms Smoothed-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 øUsing a Taylor series expansion Concluding remarks Application 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 methods Finite Volume Particle Methods (FVPM), Francis Leboeuf and Jean-Christophe MarongiuIntroduction Partition of unityAverage of a function ø Derivatives of ψConservation equation and FVPMConcluding remarks Numerical 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 remarks Numerical 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 remarks Bibliography