The Finite Element Method for Fluid DynamicsThe Finite Element Method for Fluid Dynamics offers a complete introduction the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations. The character-based split (CBS) scheme is introduced and discussed in detail, followed by thorough coverage of incompressible and compressible fluid dynamics, flow through porous media, shallow water flow, and the numerical treatment of long and short waves. Updated throughout, this new edition includes new chapters on:
Focusing on the core knowledge, mathematical and analytical tools needed for successful computational fluid dynamics (CFD), The Finite Element Method for Fluid Dynamics is the authoritative introduction of choice for graduate level students, researchers and professional engineers.
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Contents
1 | |
Finite Element Approximations to the ConvectionDiffusionReaction Equation | 31 |
A General Procedure for Compressible and Incompressible Flow | 87 |
4 Incompressible Newtonian Laminar Flows | 127 |
5 Incompressible NonNewtonian Flows | 163 |
6 Free Surface and Buoyancy Driven Flows | 195 |
7 Compressible HighSpeed Gas Flow | 225 |
8 Turbulent Flows | 283 |
15 Computer Implementation of the CBS Algorithm | 485 |
SelfAdjoint Differential Equations | 493 |
Nonconservative Form of NavierStokes Equations | 495 |
Computing the Drag Force and Stream Function | 497 |
ConvectionDiffusion Equations VectorValued Variables | 499 |
Integration Formulae | 509 |
EdgeBased Finite Element Formulation | 511 |
Boundary LayerInviscid Flow Coupling | 515 |
9 Generalized Flow and Heat Transfer in Porous Media | 309 |
10 ShallowWater Problems | 327 |
11 Long and Medium Waves | 355 |
12 Short Waves | 389 |
13 FluidStructure Interaction | 423 |
14 Biofluid Dynamics | 451 |
Multigrid Method | 519 |
MassWeighted Averaged Turbulence Transport Equations | 521 |
525 | |
539 | |
Other editions - View all
The Finite Element Method for Solid and Structural Mechanics O. C. Zienkiewicz,R. L. Taylor,David Fox No preview available - 2013 |
The Finite Element Method for Fluid Dynamics O. C. Zienkiewicz,R. L. Taylor,P. Nithiarasu No preview available - 2013 |