LEADER 05312nam 22006493u 450 001 9910784638703321 005 20230120005111.0 010 $a1-282-38134-2 010 $a9786612381348 010 $a0-08-053167-9 035 $a(CKB)1000000000384646 035 $a(EBL)477389 035 $a(OCoLC)814419971 035 $a(SSID)ssj0000337689 035 $a(PQKBManifestationID)11304121 035 $a(PQKBTitleCode)TC0000337689 035 $a(PQKBWorkID)10294581 035 $a(PQKB)10684539 035 $a(MiAaPQ)EBC477389 035 $a(EXLCZ)991000000000384646 100 $a20120226d2013 uy 0 101 0 $aeng 181 $ctxt 182 $cc 183 $acr 200 14$aThe Finite Element Method Set$b[electronic resource] 205 $a6th ed. 210 $aBurlington $cElsevier Science$d2005 215 $a1 online resource (457 p.) 300 $aDescription based upon print version of record. 311 $a0-7506-6431-2 327 $aFront Cover; The Finite Element Method for Fluid Dynamics; Copyright Page; Contents; Preface; Acknowledgements; Chapter 1. Introduction to the equations of fluid dynamics and the finite element approximation; 1.1 General remarks and classification of fluid dynamics problems discussed in this book; 1.2 The governing equations of fluid dynamics; 1.3 Inviscid, incompressible flow; 1.4 Incompressible (or nearly incompressible) flows; 1.5 Numerical solutions: weak forms, weighted residual and finite element approximation; 1.6 Concluding remarks; References 327 $aChapter 2. Convection dominated problems- finite element approximations to the convection-diffusion-reaction equation2.1 Introduction; 2.2 The steady-state problem in one dimension; 2.3 The steady-state problem in two (or three) dimensions; 2.4 Steady state - concluding remarks; 2.5 Transients - introductory remarks; 2.6 Characteristic-based methods; 2.7 Taylor-Galerkin procedures for scalar variables; 2.8 Steady-state condition; 2.9 Non-linear waves and shocks; 2.10 Treatment of pure convection; 2.11 Boundary conditions for convection-diffusion; 2.12 Summary and concluding remarks 327 $aReferencesChapter 3. The characteristic-based split (CBS) algorithm. A general procedure for compressible and incompressible flow; 3.1 Introduction; 3.2 Non-dimensional form of the governing equations; 3.3 Characteristic-based split (CBS) algorithm; 3.4 Explicit, semi-implicit and nearly implicit forms; 3.5 Artificial compressibility and dual time stepping; 3.6 'Circumvention' of the Babus?ka-Brezzi (BB) restrictions; 3.7 A single-step version; 3.8 Boundary conditions; 3.9 The performance of two-step and one-step algorithms on an inviscid problem; 3.10 Concluding remarks; References 327 $aChapter 4. Incompressible Newtonian laminar flows4.1 Introduction and the basic equations; 4.2 Use of the CBS algorithm for incompressible flows; 4.3 Adaptive mesh refinement; 4.4 Adaptive mesh generation for transient problems; 4.5 Slow flows - mixed and penalty formulations; 4.6 Concluding remarks; References; Chapter 5. Incompressible non-Newtonian flows; 5.1 Introduction; 5.2 Non-Newtonian flows - metal and polymer forming; 5.3 Viscoelastic flows; 5.4 Direct displacement approach to transient metal forming; 5.5 Concluding remarks; References 327 $aChapter 6. Free surface and buoyancy driven flows6.1 Introduction; 6.2 Free surface flows; 6.3 Buoyancy driven flows; 6.4 Concluding remarks; References; Chapter 7. Compressible high-speed gas flow; 7.1 Introduction; 7.2 The governing equations; 7.3 Boundary conditions - subsonic and supersonic flow; 7.4 Numerical approximations and the CBS algorithm; 7.5 Shock capture; 7.6 Variable smoothing; 7.7 Some preliminary examples for the Euler equation; 7.8 Adaptive refinement and shock capture in Euler problems; 7.9 Three-dimensional inviscid examples in steady state 327 $a7.10 Transient two- and three-dimensional problems 330 $aThe sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method 606 $aMathematical analysis 606 $aCivil Engineering$2HILCC 606 $aCivil & Environmental Engineering$2HILCC 606 $aEngineering & Applied Sciences$2HILCC 615 4$aMathematical analysis. 615 7$aCivil Engineering 615 7$aCivil & Environmental Engineering 615 7$aEngineering & Applied Sciences 676 $a515 676 $a620.10601515353 700 $aZienkiewicz$b O. C.$f1921-2009$021195 701 $aTaylor$b Robert L$g(Robert Leroy),$f1934-$0447817 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910784638703321 996 $aThe Finite Element Method Set$93826802 997 $aUNINA