The finite element method for fluid dynamics [E-Book] / by Olek C. Zienkiewicz, Robert L. Taylor, P. Nithiarasu.
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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Full text |
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| Personal Name(s): | Zienkiewicz, O. C., author |
| Taylor, Robert Leroy, author / Nithiarasu, Perumal, author | |
| Edition: |
Seventh edition. |
| Imprint: |
Oxford :
Butterworth-Heinemann,
2014
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| Physical Description: |
1 online resource (xxxvi, 544 pages) : illustrations |
| Note: |
englisch |
| ISBN: |
0080951376 9780080951379 |
| Subject (LOC): |
- 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.