LEADER 04922nam 22006852 450 001 9910782961603321 005 20230613182918.0 010 $a1107112230 010 $a1280416750 010 $a9786610416752 010 $a0511176929 010 $a0511157800 010 $a0511304692 010 $a0511546793 010 $a0511091974 010 $a0511052847 035 $a(CKB)1000000000003660 035 $a(EBL)201531 035 $a(SSID)ssj0000171055 035 $a(PQKBManifestationID)11153581 035 $a(PQKBTitleCode)TC0000171055 035 $a(PQKBWorkID)10236325 035 $a(PQKB)10352473 035 $a(UkCbUP)CR9780511546792 035 $a(Au-PeEL)EBL201531 035 $a(CaPaEBR)ebr10032139 035 $a(CaONFJC)MIL41675 035 $a(OCoLC)56124178 035 $a(MiAaPQ)EBC201531 035 $a(PPN)261355392 035 $a(EXLCZ)991000000000003660 100 $a20090508d2002|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHigh-order methods for incompressible fluid flow /$fM.O. Deville, P.F. Fischer, E.H. Mund$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2002. 215 $a1 online resource (xxvii, 499 pages) $cdigital, PDF file(s) 225 1 $aCambridge monographs on applied and computational mathematics ;$v9 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-511-03946-8 311 $a0-521-45309-7 320 $aIncludes bibliographical references (p. 467-487) and index. 327 $tFluid Mechanics and Computation: An Introduction --$tViscous Fluid Flows --$tMass Conservation --$tMomentum Equations --$tLinear Momentum --$tAngular Momentum --$tEnergy Conservation --$tThermodynamics and Constitutive Equations --$tFluid Flow Equations and Boundary Conditions --$tIsothermal Incompressible Flow --$tThermal Convection: The Boussinesq Approximation --$tBoundary and Initial Conditions --$tDimensional Analysis and Reduced Equations --$tVorticity Equation --$tSimplified Models --$tTurbulence and Challenges --$tNumerical Simulation --$tHardware Issues --$tSoftware Issues --$tAlgorithms --$tAdvantages of High-Order Methods --$tApproximation Methods for Elliptic Problems --$tVariational Form of Boundary-Value Problems --$tVariational Functionals --$tBoundary Conditions --$tSobolev Spaces and the Lax-Milgram Theorem --$tAn Approximation Framework --$tGalerkin Approximations --$tCollocation Approximation --$tFinite-Element Methods --$tThe h-Version of Finite Elements --$tThe p-Version of Finite Elements --$tSpectral-Element Methods --$tOrthogonal Collocation --$tOrthogonal Collocation in a Monodomain --$tOrthogonal Collocation in a Multidomain --$tError Estimation --$tSolution Techniques --$tThe Conditioning of a Matrix --$tBasic Iterative Methods --$tPreconditioning Schemes of High-Order Methods --$tIterative Methods Based on Projection --$tA Numerical Example --$tParabolic and Hyperbolic Problems --$tTime Discretization Schemes --$tLinear Multistep Methods --$tPredictor-Corrector Methods --$tRunge-Kutta Methods --$tSplitting Methods. 330 $aHigh-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in complex domains. Introductory chapters present high-order spatial and temporal discretizations for one-dimensional problems. These are extended to multiple space dimensions with a detailed discussion of tensor-product forms, multi-domain methods, and preconditioners for iterative solution techniques. Numerous discretizations of the steady and unsteady Stokes and Navier-Stokes equations are presented, with particular attention given to enforcement of incompressibility. Advanced discretizations, implementation issues, and parallel and vector performance are considered in the closing sections. Numerous examples are provided throughout to illustrate the capabilities of high-order methods in actual applications. Computer scientists, engineers and applied mathematicians interested in developing software for solving flow problems will find this book a valuable reference. 410 0$aCambridge monographs on applied and computational mathematics ;$v9. 606 $aFluid dynamics 615 0$aFluid dynamics. 676 $a532/.051 700 $aDeville$b M. O$g(Michel O.),$01497964 702 $aFischer$b P. F$g(Paul F.), 702 $aMund$b E. H$g(Ernest H.), 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910782961603321 996 $aHigh-order methods for incompressible fluid flow$93723294 997 $aUNINA