Computational fluid dynamics
type: Item
instance of: scholarly article
zbMATH Open document ID: 1037.76001
DOI: 10.1017/CBO9780511606205
publication date: 2002-02-18T00:00:00Z
Mathematics Subject Classification ID: 76-01
Mathematics Subject Classification ID: 76Mxx
zbMATH DE Number: 1706307
zbMATH Keywords: finite element methods
zbMATH Keywords: finite difference methods
zbMATH Keywords: finite volume methods
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: compressible flows
zbMATH Keywords: Euler equations
zbMATH Keywords: Burgers' equations
zbMATH Keywords: Galerkin methods
zbMATH Keywords: convection-dominated flows
zbMATH Keywords: incompressible flows
zbMATH Keywords: automatic grid generation
zbMATH Keywords: adaptive methods
zbMATH Keywords: turbulence
zbMATH Keywords: chemically reactive flows
zbMATH Keywords: combustion
zbMATH Keywords: hypersonic flows
zbMATH Keywords: acoustics
zbMATH Keywords: radiative heat transfer
zbMATH Keywords: multiphase flows
zbMATH Keywords: magnetohydrodynamics
zbMATH Keywords: relativistic astrophysical flows
MaRDI profile type: Publication
full work available at URL: cbo9780511606205
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title: Computational fluid dynamics
author: T. J. Chung
review text: The author of this book, an important leader in the domain of computational fluid dynamics (CFD), was for some decades one of the most authoritative witnesses of the great progress in finite element methods (FEM), finite difference methods (FDM), finite volume methods (FVM) and other computational methods employed in the study of fluid flows. His enormous experience is shared both to beginners and to practitioners by the aid of this monography.NEWLINENEWLINEIn Part One of the book the author presents the basic concepts of FDM, FEM and FVM. He also reviews the basic forms of partial differential equations and some of the governing equations in fluid dynamics, including nonconservative and conservative forms of Navier-Stokes equations.NEWLINENEWLINEPart Two presents the basic concepts of finite difference theory, various formulation strategies and applications to incompressible and compressible flows described by the potential, Euler or Navier-Stokes equations. The author presents various finite difference schemes for solutions of elliptic, parabolic, hyperbolic and Burgers' equations. He also introduces FVM via FDM.NEWLINENEWLINEPart Three is devoted to FEM. After presenting the finite element formulations and finite element interpolation functions, one utilizes standard and generalized Galerkin methods for studying steady-state and transient linear problems. The nonlinear problems (convection-dominated flows) like Burgers' equations and nonlinear wave equation are studied by means of Taylor-Galerkin, Petrov-Galerkin, least squares, and Newton-Raphson methods. The incompressible viscous flows are studied via FEM, using primitive variables and vortex methods. For studying the compressible flows the author utilizes generalized Galerkin, Taylor-Galerkin, generalized Petrov-Galerkin, characteristic Galerkin, discontinuous Galerkin, or combined FEM/FDM/FVM methods. Miscellanous weighted residual methods (spectral, least squares), and relationships between FDM, FEM and oth…
reviewed by: Adrian Carabineanu
description: scientific article; zbMATH DE number 1706307