03945nam a22005775i 4500999001700000001001800017003000900035005001700044006001900061007001500080008004100095020001800136024003500154040001100189050001600200072001700216072002300233072001600256082001200272100008000284245009400364250001800458264008200476300003400558336002600592337002600618338003600644347002400680490006700704505068200771520132301453650002402776650002202800650001502822650002602837650002502863650002402888650002702912650001502939650003702954650005702991650002503048710003403073773002603107776003603133776003603169776003603205830006703241856004603308942001303354  c27384d27384978-3-642-05146-3DE-He21320240716153549.0a|||||o|||| 00| 0 cr nn 008mamaa100301s2001    gw |    s    |||| 0|eng d  a97836420514637 a10.1007/978-3-642-05146-32doi  cimu-kc 4aQA297-299.4 7aPBKS2bicssc 7aMAT0210002bisacsh 7aPBKS2thema04a5182231 aWesseling, Pieter.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aPrinciples of Computational Fluid Dynamicsh[electronic resource] /cby Pieter Wesseling.  a1st ed. 2001. 1aBerlin, Heidelberg :bSpringer Berlin Heidelberg :bImprint: Springer,c2001.  aXII, 644 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSpringer Series in Computational Mathematics,x2198-3712 ;v290 aThe basic equation of fluid dynamics -- Partial differential equations: analytic aspects -- Finite volume and finite difference discretization on nonuniform grids -- The stationary convection-diffusion equation -- The nonstationary convection-diffusion equation -- The incompressible Navier-Stokes equations -- Iterative methods -- The shallow-water equations -- Scalar conservation laws -- The Euler equations in one space dimension -- Discretization in general domains -- Numerical solution of the Euler equations in general domains -- Numerical solution of the Navier-Stokes equations in general domains -- Unified methods for computing incompressible and compressible flow.  aThe book is aimed at graduate students, researchers, engineers and physicists involved in flow computations. An up-to-date account is given of the present state-of-the-art of numerical methods employed in computational fluid dynamics. The underlying numerical principles are treated with a fair amount of detail, using elementary mathematical analysis. Attention is given to difficulties arising from geometric complexity of the flow domain and of nonuniform structured boundary-fitted grids. Uniform accuracy and efficiency for singular perturbation problems is studied, pointing the way to accurate computation of flows at high Reynolds number. Much attention is given to stability analysis, and useful stability conditions are provided, some of them new, for many numerical schemes used in practice. Unified methods for compressible and incompressible flows are discussed. Numerical analysis of the shallow-water equations is included. The theory of hyperbolic conservation laws is treated. Godunov's order barrier and how to overcome it by means of slope-limited schemes is discussed. An introduction is given to efficient iterative solution methods, using Krylov subspace and multigrid acceleration. Many pointers are given to current literature, to help the reader to quickly reach the current research frontier. 0aNumerical analysis. 0aComputer science. 0aAcoustics. 0aMathematical physics. 0aContinuum mechanics.14aNumerical Analysis.24aTheory of Computation.24aAcoustics.24aMathematical Methods in Physics.24aTheoretical, Mathematical and Computational Physics.24aContinuum Mechanics.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978364205162308iPrinted edition:z978354067853308iPrinted edition:z9783642051456 0aSpringer Series in Computational Mathematics,x2198-3712 ;v2940uhttps://doi.org/10.1007/978-3-642-05146-3  2ddccEBK