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EbookNice Team
Status:
Available0.0
0 reviewsISBN 10: 0444515666
ISBN 13: 978-0444515667
Author: Nicholas Ayache
Provides a better understanding of the physiological and mechanical behaviour of the human body and the design of tools for their realistic numerical simulations, including concrete examples of such computational models. This book covers a large range of methods and an illustrative set of applications.
CHAPTER I
1. Introduction
2. A brief description of the human vascular system
3. The main variables for the mathematical description of blood flow
4. Some relevant issues
CHAPTER II
5. The derivation of the equations for the flow field
6. Some nomenclature
7. The motion of continuous media
8. The derivation of the basic equations of fluid mechanics
9. The Navier-Stokes equations
CHAPTER III
10. The incompressible Navier-Stokes equations and their approximation
11. Weak form of Navier-Stokes equations
12. An energy inequality for the Navier-Stokes equations
13. The Stokes equations
14. Numerical approximation of Navier-Stokes equations
CHAPTER IV
15. Mathematical modelling of the vessel wall
16. Derivation of 1D models of vessel wall mechanics
17. Analysis of vessel wall models
CHAPTER V
18. The coupled fluid structure problem
19. An iterative algorithm to solve the coupled fluid-structure problem
CHAPTER VI
20. One-dimensional models of blood flow in arteries
CHAPTER VII
21. Some numerical results
22. Conclusions
Acknowledgements
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Tags: Nicholas Ayache, Computational Models, the Human Body, Numerical Analysis