LEADER 03271nam 2200577 a 450 001 9910841797603321 005 20180612233527.0 010 $a1-280-52103-1 010 $a9786610521036 010 $a3-527-60639-4 010 $a3-527-60277-1 035 $a(CKB)1000000000019413 035 $a(EBL)481900 035 $a(OCoLC)64730179 035 $a(SSID)ssj0000199148 035 $a(PQKBManifestationID)11204110 035 $a(PQKBTitleCode)TC0000199148 035 $a(PQKBWorkID)10184619 035 $a(PQKB)10010360 035 $a(MiAaPQ)EBC481900 035 $a(PPN)137763123 035 $a(EXLCZ)991000000000019413 100 $a20030612d2003 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical models of fluiddynamics$b[electronic resource] $emodelling, theory, basic numerical facts : an introduction /$fRainer Ansorge 210 $aWeinheim $cWiley-VCH$dc2003 215 $a1 online resource (189 p.) 300 $aDescription based upon print version of record. 311 $a3-527-40397-3 320 $aIncludes bibliographical references (p. [181]-182) and index. 327 $a3.3 Uniqueness of Entropy Solutions3.4 The Ansatz due to Kruzkov; 4 The Riemann Problem; 4.1 Numerical Importance of the Riemann Problem; 4.2 The Riemann Problem in the Case of Linear Systems; 5 Real Fluids; 5.1 The Navier-Stokes Equations Model; 5.2 Drag Force and the Hagen-Poiseuille Law; 5.3 Stokes Approximation and Artificial Time; 5.4 Foundations of the Boundary Layer Theory; Flow Separation; 5.5 Stability of Laminar Flows; 6 Existence Proof for Entropy Solutions by Means of Discretization Procedures; 6.1 Some Historical Remarks; 6.2 Reduction to Properties of Operator Sequences 327 $a6.3 Convergence Theorems6.4 Example; 7 Types of Discretization Principles; 7.1 Some General Remarks; 7.2 The Finite Difference Calculus; 7.3 The CFL Condition; 7.4 Lax-Richtmyer Theory; 7.5 The von Neumann Stability Criterion; 7.6 The Modified Equation; 7.7 Difference Schemes in Conservation Form; 7.8 The Finite Volume Method on Unstructured Grids; Some Extensive Monographs; Index 330 $aThis introduction to the field contains a careful selection of topics and examples without sacrificing scientific strictness. The author guides readers through mathematical modelling, the theoretical treatment of the underlying physical laws and the construction and effective use of numerical procedures to describe the behaviour of the dynamics of physical flow. Both students and experts intending to control or predict the behavior of fluid flows by theoretical and computational fluid dynamics will benefit from the combination of all relevant aspects in one handy volume.The book consists o 606 $aFluid dynamics$xMathematical models 615 0$aFluid dynamics$xMathematical models. 676 $a532.05 676 $a532.05015118 676 $a532.5015118 676 $a532/.05/015118 700 $aAnsorge$b R$g(Rainer),$f1931-$0294988 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910841797603321 996 $aMathematical models of fluiddynamics$94136053 997 $aUNINA