Cargando…
Computational modeling for fluid flow and interfacial transport /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York :
Elsevier,
1994.
|
| Colección: | Transport processes in engineering ;
5. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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