LEADER 06182nam 2200757Ia 450 001 9910965276003321 005 20250515160435.0 010 $a1-280-63895-8 010 $a9786610638956 010 $a0-08-045559-X 035 $a(CKB)1000000000350332 035 $a(EBL)269946 035 $a(OCoLC)190810840 035 $a(SSID)ssj0000071938 035 $a(PQKBManifestationID)11107181 035 $a(PQKBTitleCode)TC0000071938 035 $a(PQKBWorkID)10091574 035 $a(PQKB)10458334 035 $a(MiAaPQ)EBC269946 035 $a(Au-PeEL)EBL269946 035 $a(CaPaEBR)ebr10138726 035 $a(CaONFJC)MIL63895 035 $a(OCoLC)936843765 035 $a(EXLCZ)991000000000350332 100 $a20060202d2005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe finite element method for fluid dynamics /$fO.C. Zienkiewicz, R.L. Taylor, P. Nithiarasu 205 $a6th ed. 210 $aAmsterdam ;$aBoston $cElsevier Butterworth-Heinemann$dc2005 215 $a1 online resource (457 p.) 300 $aPrevious ed. published as: The finite element method. 2000. 300 $a"In the present edition we retain the three volume format of the fifth edition but have decided not to pursue the course of having three contiguous volumes -- rather we treat the whole work as an assembly of three separate works, each one capable of being used without the others ... The first volume is renamed The Finite Element Method: Its Basis and Fundamentals ... In [the second] volume we consider more advanced problems in solid and structural mechanics while in a third volume we consider applications in fluid dynamics"--Pref. 311 08$a1-4933-0290-6 311 08$a0-7506-6322-7 320 $aIncludes bibliographical references and indexes. 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 $aDealing with general problems in fluid mechanics, convection diffusion, compressible and incompressible laminar and turbulent flow, shallow water flows and waves, this is the leading text and reference for engineers working with fluid dynamics in fields including aerospace engineering, vehicle design, thermal engineering and many other engineering applications. The new edition is a complete fluids text and reference in its own right. Along with its companion volumes it forms part of the indispensable Finite Element Method series.New material in this edition includes sub-grid sca 606 $aFinite element method 606 $aMechanics, Applied 606 $aFluid dynamics 615 0$aFinite element method. 615 0$aMechanics, Applied. 615 0$aFluid dynamics. 676 $a620.10601515353 676 $a620.10601515353 700 $aZienkiewicz$b O. C$0440603 701 $aTaylor$b Robert L$g(Robert Leroy),$f1934-$0447817 701 $aNithiarasu$b Perumal$0632249 701 $aZienkiewicz$b O. C$0440603 701 $aZienkiewicz$b O. C$0440603 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910965276003321 996 $aThe finite element method for fluid dynamics$94379371 997 $aUNINA