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Computational modeling for fluid flow and interfacial transport
Title:
Computational modeling for fluid flow and interfacial transport
Author:
Shyy, W. (Wei)
ISBN:
9781483290416
Personal Author:
Publication Information:
Amsterdam ; New York : Elsevier, 1994.
Physical Description:
1 online resource (xvii, 504 pages) : illustrations.
Series:
Transport processes in engineering ; 5
Transport processes in engineering ; 5.
Contents:
Front Cover; Computational Modeling for Fluid Flow and Interfacial Transport; Copyright Page; Dedication; PREFACE; Table of Contents; PART I: BASIC CONCEPTS OF FINITE DIFFERENCE METHODS; CHAPTER I. INTRODUCTION TO FINITE DIFFERENCE METHODS; 1. Basic Concepts of Finite Difference Schemes; 2. Solution of Finite Difference Equations; 3. Order of Accuracy of a Difference Scheme: Global and Local; 4. Stability of Difference Schemes; 5. Discretization of PDE's and Error Norms; 6. Further Reading; CHAPTER II. PARABOLIC EQUATIONS; 1. Background on PDEs; 2. Analytical Background for Parabolic PDEs
3. Explicit Numerical Schemes for Parabolic PDEs4. General Two-Step Schemes for Parabolic PDEs; 5. Keller's Box Method; 6. Leap-Frog Scheme; 7. Multi-Dimensional Problems; 8. Choice of Method : Explicit or Implicit; 9. Solution Methods for Implicit Scheme: the ADI Method; 10. Nonuniform Meshes; 11. Treatment of Boundary Conditions; 12. Equations Containing Variable Coefficients; 13. Summary of Schemes for the Heat Equation Ut = Uxx; CHAPTER III. ELLIPTIC EQUATIONS; 1. Introduction; 2. Basic Analysis and Analogy between Difference and Differential Equations; 3. Laplace Equation in a Square
4. Solution of Linear Equations: Classical Iterative Methods5. Stone's Strongly Implicit Procedure (SIP); 6. Multigrid Method; CHAPTER IV. HYPERBOLIC EQUATIONS; 1. Introduction and Analytical Background; 2. Naive Schemes; 3. More Complicated Schemes; 4. Numerical Dissipation and Dispersion; 5. System of Equations; PART II: PRESSURE-BASED ALGORITHMS AND THEIRAPPLICATIONS; CHAPTER V. PRESSURE-BASED ALGORITHMS; 1. Introduction; 2. Pressure-Based Formulation for All Flow Speeds; 3. Choice of Velocity Variables; 4. Grid; 5. Open Boundary Treatment; 6. Convection Treatment
7. Convergence and Matrix Solver8. Composite Grid Method; 9. Concluding Remarks; CHAPTER VI. PRACTICAL APPLICATIONS; 1. Three-Dimensional Combustor Flow Simulation; 2. High Pressure Discharge Lamp; 3. Two-Phase Thermocapillary Flow under Normal and Microgravity Conditions; 4. Flow in a 360° Passage with Multiple Airfoils; 5. Concluding Remarks; PART III: INTERFACIAL TRANSPORT; CHAPTER VII. BASIC CONCEPTS OF THERMODYNAMICS; 1. Basic Concepts; 2. Thermodynamic Potentials; 3. Thermodynamics of Interfaces; 4. Phase Equilibria; 5. Surface Tension and the Gibbs-Thomson Effect; 6. Further Reading
CHAPTER VIII. THERMOFLUID PHENOMENA INVOLVING CAPILLARITY AND GRAVITY1. Meniscus Formation and Contact Angle; 2. Jet Breakup and Drop Formation; 3. Benard Convection; 4. Case Studies; 5. Further Reading; CHAPTER IX. PHYSICAL AND COMPUTATIONAL ISSUES IN PHASE-CHANGE DYNAMICS; 1. The Driving Force for Solidification; 2. Nucleation in Pure Materials; 3. Alloy Solidification; 4. General Formulation for Interface Tracking; 5. Modelling and Related Issues; 6. Tracking of Highly Distorted Fronts; 7. Enthalpy Formulation for Phase Change Problem; 8. Case Studies; 9. Further Reading; REFERENCES; INDEX
Abstract:
Transport processes are often characterized by the simultaneous presence of multiple dependent variables, multiple length scales, body forces, free boundaries and strong non-linearities. The various computational elements important for the prediction of complex fluid flows and interfacial transport are presented in this volume. Practical applications, presented in the form of illustrations and examples are emphasized, as well as physical interpretation of the computed results. The book is intended as a reference for researchers and graduate students in mechanical, aerospace, chemical and mater.
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Electronic Access:
ScienceDirect http://www.sciencedirect.com/science/book/9780444817600Available:*
Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| QC151 .S585 1994 | 1176968-1001 | Elsevier E-Book Collections | Searching... |
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