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The finite element method for fluid dynamics /

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The 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 an...

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Bibliographic Details
Main Authors: Zienkiewicz, O. C. (Author), Taylor, Robert L. (Robert Leroy), 1934- (Author), Nithiarasu, Perumal (Author)
Corporate Author: ebrary, Inc
Format: eBook
Language:English
Published: Oxford : Butterworth-Heinemann, 2014.
Edition:Seventh edition.
Subjects:
Fluid dynamics > Mathematics.
Finite element method.
TECHNOLOGY & ENGINEERING / Engineering (General)
TECHNOLOGY & ENGINEERING / Reference.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Note continued: 12.6.5.Trefftz-type finite elements for waves
  • 12.7.Refraction
  • 12.7.1.Wave speed refraction
  • 12.7.2.Refraction caused by flows
  • 12.8.Spectral finite elements for waves
  • 12.9.Discontinuous Galerkin finite elements (DGFE)
  • 12.10.Concluding remarks
  • References
  • ch. 13 Fluid
  • Structure Interaction
  • 13.1.Introduction
  • 13.2.One-dimensional fluid
  • structure interaction
  • 13.2.1.Equations
  • 13.2.2.Characteristic analysis
  • 13.2.3.Boundary conditions
  • 13.2.4.Solution method: Taylor-Galerkin method
  • 13.2.5.Some results
  • 13.3.Multidimensional problems
  • 13.3.1.Equations and discretization
  • 13.3.2.Segregated approach
  • 13.3.3.Mesh moving procedures
  • 13.4.Concluding remarks
  • References
  • ch. 14 Biofluid Dynamics
  • 14.1.Introduction
  • 14.2.Flow in human arterial system
  • 14.2.1.Heart
  • 14.2.2.Reflections
  • 14.2.3.Aortic valve
  • 14.2.4.Vessel branching
  • 14.2.5.Terminal vessels
  • 14.2.6.Numerical solution
  • 14.3.Image-based subject-specific flow modeling
  • 14.3.1.Image segmentation
  • 14.3.2.Geometrical potential force (GPF)
  • 14.3.3.Numerical solution, initial and boundary conditions
  • 14.3.4.Domain discretization
  • 14.3.5.Flow solution
  • 14.4.Concluding remarks
  • References
  • ch. 15 Computer Implementation of the CBS Algorithm
  • 15.1.Introduction
  • 15.2.The data input module
  • 15.2.1.Mesh data: Nodal coordinates and connectivity
  • 15.2.2.Boundary data
  • 15.2.3.Other necessary data and flags
  • 15.2.4.Preliminary subroutines and checks
  • 15.3.Solution module
  • 15.3.1.Time step
  • 15.3.2.Shock capture
  • 15.3.3.CBS algorithm: Steps
  • 15.3.4.Boundary conditions
  • 15.3.5.Solution of simultaneous equations: Semi-implicit form
  • 15.3.6.Different forms of energy equation
  • 15.3.7.Convergence to steady state
  • 15.4.Output module
  • References.