The Finite Element Method for Fluid DynamicsDealing 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 subgrid scale modelling; artificial compressibility; full new chapters on turbulent flows, free surface flows and porous medium flows; expanded shallow water flows plus long, medium and short waves; and advances in parallel computing.

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Contents
1  
28  
Chapter 3 The characteristicbased split CBS algorithm A general procedure for compressible and incompressible flow  79 
Chapter 4 Incompressible Newtonian laminar flows  110 
Chapter 5 Incompressible nonNewtonian flows  141 
Chapter 6 Free surface and buoyancy driven flows  170 
Chapter 7 Compressible highspeed gas flow  197 
Chapter 8 Turbulent flows  248 
Appendix A Nonconservative form of NavierStokes equations  389 
Appendix B Selfadjoint differential equations  391 
Appendix C Postprocessing  392 
Appendix D Integration formulae  395 
vectorvalued variables  397 
Appendix F Edgebased finite element formulation  405 
Appendix G Multigrid method  407 
Appendix H Boundary layerinviscid flow coupling  409 
Chapter 9 Generalized flow through porous media  274 
Chapter 10 Shallow water problems  292 
Chapter 11 Long and medium waves  317 
Chapter 12 Shortwaves  349 
Chapter 13 Computer implementation of the CBS algorithm  382 
Appendix I Massweighted averaged turbulence transport equations  413 
417  
427  
Color Plate Section  437 
Other editions  View all
The Finite Element Method for Fluid Dynamics Olek C Zienkiewicz,Robert L Taylor,P. Nithiarasu Limited preview  2013 
The Finite Element Method for Fluid Dynamics O. C. Zienkiewicz,R. L. Taylor,P. Nithiarasu No preview available  2013 
Common terms and phrases
adaptive approximation Bettess boundary conditions boundary layer calculated CBS algorithm Chapter coefficient Comp compressible Computer Methods convection cylinder density deviatoric diffusion discussed domain error Euler example explicit finite difference Finite element analysis finite element method flow past flow problems fluid dynamics fluid mechanics formulation free surface Galerkin method Helmholtz equation incompressible flow infinite integration International Journal inviscid iteration Journal for Numerical linear Mach number Mech Meth Methods in Applied Methods in Engineering Methods in Fluids Morgan Navier–Stokes equations Nithiarasu nodal nodes nondimensional Numerical Methods O.C. Zienkiewicz obtained Peraire Petrov–Galerkin plane wave porous porous medium procedure reference Reynolds number scalar scheme shallow water shallow water equations shape functions shock shown in Fig solid mechanics solved steadystate step transient turbulent flow unstructured grid unstructured mesh values variable velocity viscoelastic viscosity water equations zero