Advances in Applied Mechanics
Academic Press
Published on 8. January 1992
267 pages
978-0-08-056406-7 (ISBN)
Description
Advances in Applied Mechanics
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Theodore Y. Wu | John W. Hutchinson
Advances in Applied Mechanics: v. 28
Book
11/1991
Academic Press
€110.81
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Content
- Front Cover
- Advances in Applied Mechanics, Volume 28
- Copyright Page
- Contents
- List of Contributors
- Preface
- Chapter 1. Stabilized Finite Element Formulations for Incompressible Flow Computations
- I. Introduction
- II. The Governing Equations
- III. The Space-Time Formulation and the Galerkin/ Least-Squares Stabilization
- IV. The Formulations with the SUPG and PSPG Stabilizations
- V. Application to Moving Boundaries and Interfaces: The DSD/ST Procedure
- VI. Concluding Remarks
- References
- Chapter 2. Some Interesting Issues in Incompressible Fluid Dynamics, Both in the Continuum and in Numerical Simulation
- I. Introduction
- II. The Omnipotence of the Incompressibility Constraint
- III. The Navier-Stokes Equations: A Well-Posed IBVP
- IV. Alternate Forms of the Navier-Stokes Equations
- V. Derived Equations
- VI. Boundary Conditions for the Velocity and Pressure
- VII. Boundary Conditions for the Vorticity
- VIII. Initial Conditions
- IX. Semi-discretizations via Differential- Akgebraic Equations
- X. Further Discussion
- XI. Summary and Conclusions
- Acknowledgments
- References
- Chapter 3. Effective Equations for Multiphase Flows- Waves in a Bubbly Liquid
- I. Introduction
- II. The Method of Homogenization
- III. Review of Single Bubble Dynamics
- IV. Formulation, Scalings, and Physical Interpretations
- V. Effective Equations
- VI. Foldy's Method for Very Small Gas Volume Fraction
- VII. Solutions of Cell Problems and Effective Equations for ß? » e
- VIII. Properties of the Effective Equations for a Small ß?
- IX. Concluding Remarks
- Acknowledgments
- References
