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Interface problems and methods in biological and physical flows

Author: Boo Cheong Khoo; Zhilin Li; Ping Lin
Publisher: Hackensack, NJ : World Scientific, ©2009.
Series: Lecture notes series (National University of Singapore. Institute for Mathematical Sciences), v. 17.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

Showcases lecture notes collected from tutorials presented at the Workshop on Moving Interface Problems and Applications in Fluid Dynamics that was held between January 8 and March 31, 2007 at the  Read more...

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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version:
Interface problems and methods in biological and physical flows.
Hackensack, NJ : World Scientific, ©2009
(DLC) 2009279115
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Boo Cheong Khoo; Zhilin Li; Ping Lin
OCLC Number: 647851227
Description: 1 online resource (x, 175 pages) : illustrations (some color).
Contents: Cover --
CONTENTS --
Foreword --
Preface --
An Introduction to the Immersed Boundary and the Immersed Interface Methods Robert H. Dillon and Zhilin Li --
1. Introduction --
Part I AN INTRODUCTION TO THE IMMERSED BOUNDARY METHOD --
2. Overview of Immersed Boundary Method --
3. Some Applications of the IB Method --
4. Some Technical Issues of the IB Method --
Part II A TUTORIAL OF THE IMMERSED INTERFACE METHOD --
5. The Immersed Interface Method for Elliptic Interface Problems --
6. The Augmented Immersed Interface Method and Applications --
7. Simplifying the Immersed Interface Method by Removing Source Singularities --
8. The Immersed Interface Method Using Finite Element Formulations --
9. The IIM for Free Boundary or Moving Interface Problems --
10. Acknowledgements --
References --
Lecture Notes on Nonlinear Tumor Growth: Modeling and Simulation John S. Lowengrub, Vittorio Cristini, Hermann B. Frieboes, Xiangrong Li, Paul Macklin, Sandeep Sanga, Steven M. Wise and Xiaoming Zheng --
0. Introduction --
1. Tumor Growth in Homogeneous Tissuea --
1.1. Overview --
1.2. Discrete modeling --
1.3. Continuum modeling --
1.4. Regimes of growth --
1.5. Comparison with experiment --
1.6. Linear analysis --
1.7. Nonlinear results --
2. Tumor Growth in Heterogeneous Tissueb --
2.1. Overview --
2.2. Governing equations --
2.3. Nonlinear results --
3. Tumor Growth and Neovascularizationc --
3.1. Overview --
3.2. The model --
3.3. Nonlinear results --
4. Conclusion and Future Research Directions --
References --
Progress in Modeling Pulsed Detonations Frank K. Lu and R. Bellini --
1. Introduction and Literature Review --
2. Overview of Early Studies in Detonations --
2.1. Structure of detonation waves --
3. Review of Numerical Simulation of Pulse Detonation Engines --
3.1. Detonation initiation --
3.2. Detonation stability --
3.3. Numerics and algorithms --
3.4. Boundary conditions --
3.5. Turbulence modeling --
3.6. Chemical kinetics --
4. The Governing Equations --
5. Numerical Method --
5.1. Local ignition averaging method --
6. Numerical Simulations of Pulse Detonations --
6.1. One-dimensional detonation wave propagation --
6.2. Detonation wave propagation through an area enlargement --
7. Outlook and Conclusions --
Acknowledgments --
References --
Direct Numerical Simulations of Multiphase Flows Gr etar Tryggvason and Jiacai Lu --
1. Introduction --
2. Governing Equations --
3. Numerical Method --
4. Results --
5. Conclusions --
Acknowledgments --
References.
Series Title: Lecture notes series (National University of Singapore. Institute for Mathematical Sciences), v. 17.
Responsibility: editors, Boo Cheong Khoo, Zhilin Li, Ping Lin.

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