Advances in Engineering Mechanics : Reflections and Outlooksin Honor of Theodore Y.-T. Wu /
This volume presents 40 original papers on recent advances in several topics in engineering mechanics presented at The Theodore Y-T Wu Symposium on Engineering Mechanics: A celebration of Professor Wu's scientific contributions for his 80th birthday. The distinguished contributors include sever...
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Format: | Electronic Conference Proceeding eBook |
Language: | English |
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Hackensack, NJ :
World Scientific,
2005
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Local Note: | ProQuest Ebook Central |
Table of Contents:
- Cover
- TABLE OF CONTENTS
- Acknowledgments
- Preface
- Prologue: Cavitation
- On the theory and modeling of real cavity flows Marshall Tulin
- 1. Introduction
- 2. FLOW FIELDS
- 3. VORTICITY
- 4. CAVITY CONFIGURATIONS AS CONSTRAINED BY VORTICITY
- 5. VISCOUS SEPARATION VS. CAVITATION
- 6. THE SUBCRITICAL REGIME
- 7. THE SUPERCRITICAL REGIME
- References
- Chapter 1 : Nonlinear Waves
- Localization of dispersive waves in weakly random media C.C. Mei, Jorgen H. Pihl, Mathew Hancock & Yile Li
- 1. Introduction
- 2. Nearly sinusoidal waves
- 3. Transient long waves in a shallow sea
- 4. Concluding remarks
- Acknowledgements
- References
- Water wave equations Jin E. Zhang
- 1. Introduction
- 2. Wus Unified Theory for Modeling Water Waves
- 3. Boussinesq Models
- 4. Integrable Water Wave Equations
- 5. Two Problems
- References
- Wus mass postulate and approximate solutions of the fKdV equation S.S.P. Shen, Q. Zheng, S. Gao, Z. Xu & C.T. Ong
- 1. Introduction
- 2. Amplitude of the upstream solitons
- 3. Mass postulate and the depth of the downstream depression
- 4. Geometry of the waves on the x-t plane
- 5. Solitons in the atmosphere over the Hainan island
- Acknowledgments
- References
- Explicit analytic solutions of KdV equation given by the homotopy analysis method Chen Chen, Chun Wang & Shijun Liao
- 1. Introduction
- 2. Solution of periodic wave
- 3. Solution of solitary wave
- 4. Validation of the solutions
- 5. Conclusions
- References
- Rigorous computation of Nekrasovs integral equation for water waves Sunao Murashige & Shin ichi Oishi
- 1. Introduction
- 2. The singular integral of trigonometric polynomials
- 3. The method of verification
- 4. Results
- 5. Conclusions
- Acknowledgments
- References
- Numerical modeling of nonlinear surface waves and its validation W. Choi, C.P. Kent & C.J. Schillinger
- 1. Introduction
- 2. Mathematical Formulation
- 3. Validation of Models for One-dimensional Waves
- 4. Numerical Solutions for Two-dimensional Waves
- 5. Discussion
- References
- Three dimensional wave for water waves on finite depth: The DaveyStewartson system K.W. Chow, D.H. Zhang & C.K. Poon
- 1. Introduction
- 2. Formulation
- Appendix
- Acknowledgement
- References
- Rip currents due to wave-current interaction Jie Yu & A. Brad Murray
- 1. Introduction
- 2. Formulation
- 3. Basic state: the 0th order solutions
- 4. Linear instability: the 1st order solution
- 5. Results and discussion
- 6. Concluding remarks
- Acknowledgments
- References
- Higher order Boussinesq equations for water waves on uneven bottom Hua Liu & Benlong Wang
- 1. Introduction
- 2. Mathematical Formulation
- 3. Numerical Method
- 4. Numerical Results
- 5. Concluding Remarks
- Acknowledgments
- References
- Waves on a liquid sheet S.P. Lin
- 1. Governing Equations
- 2. Sheet Waves
- 3. Discussion
- References
- A different view on data from a nonlinear and nonstationary world Norden E. Huang
- 1. Introduction
- 2. The Hilbert-Huang Transform
- 3. Mathematical Problems related to HHT
- 4. Conclusion
- Acknowledgements
- References.