The finite element method for fluid dynamics

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
Online Access: Full text (MCPHS users only)
Main Authors: Zienkiewicz, O. C. (Author), Taylor, Robert L. (Robert Leroy), 1934- (Author), Nithiarasu, Perumal (Author)
Format: Electronic eBook
Language:English
Published: Oxford : Butterworth-Heinemann, 2014
Edition:Seventh edition.
Subjects:
Fluid dynamics > Mathematics.
Finite element method.
Electronic book.
Local Note:ProQuest Ebook Central
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.

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