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Numerical Methods in Fluid Dynamics

This monograph is based on a graduate course, Mechanical Engipeering 266, which was developed over a number of years at the University of California-Berkeley. Shorter versions of the course were given at the University of Paris VI in 1969, and at the University of Paris XI in 1972. The course was or...

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Bibliographic Details
Main Author: Holt, M.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1977, 1977
Edition:1st ed. 1977
Series:Scientific Computation
Subjects:
Continuum Mechanics
Mathematical Physics
Theoretical, Mathematical And Computational Physics
Mathematical Methods In Physics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 5.12 A Modified Form of the Method of Integral Relations
  • 5.13 Application to Viscous Supersonic Conical Flows
  • 5.14 Extension to Unsteady Laminar Boundary Layers
  • Model Problem (Chu and Gong)
  • References
  • 6. Telenin’s Method and the Method of Lines
  • 6.1 Introduction
  • 6.2 Solution of Laplace’s Equation by Telenin’s Method
  • 6.3 Solution of a Model Mixed Type Equation by Telenin’s Method
  • 6.4 Application of Telenin’s Method to the Symmetrical Blunt Body Problem
  • 6.5 Extension to Unsymmetrical Blunt Body Flows
  • 6.6 Application of Telenin’s Method to the Supersonic Yawed Cone Problem
  • 6.7 The Method of Lines. General Description
  • 6.8 Applications of the Method of Lines
  • 6.9 Powell’s Method Applied to Two Point Boundary Value Problems
  • Telenin’s Method. Model Problems
  • References
  • 3.3 The Double Sweep Method for Unsteady Three-Dimensional Flow
  • 3.4 Worked Problem. Application to Circular Arc Airfoil
  • 3.5 Results and Discussion
  • References
  • 4. The Method of Characteristics for Three-Dimensional Problems in Gas Dynamics
  • 4.1 Introduction
  • 4.2 Bicharacteristics Method (Butler)
  • 4.3 Optimal Characteristics Methods (Bruhn and Haack, Schaetz)
  • 4.4 Near Characteristics Method (Sauer)
  • References
  • 5. The Method of Integral Relations
  • 5.1 Introduction
  • 5.2 General Formulation. Model Problem
  • 5.3 Flow Past Ellipses
  • 5.4 The Supersonic Blunt Body Problem
  • 5.5 Transonic Flow
  • 5.6 Incompressible Laminar Boundary Layer Equations. Basic Formulation
  • 5.7 The Method in the Compressible Case
  • 5.8 Laminar Boundary-Layers with Suction or Injection
  • 5.9 Extension to Separated Flows
  • 5.10 Application to Supersonic Wakes and BaseFlows
  • 5.11 Application to Three-Dimensional Laminar Boundary Layers
  • 1. General Introduction
  • 1.1 Introduction
  • 1.2 Boundary Value Problems and Initial Value Problems
  • 1.3 One Dimensional Unsteady Flow Characteristics
  • 1.4 Steady Supersonic Plane or Axi-Symmetric Flow. Equations of Motion in Characteristic Form
  • 1.5 Basic Concepts Used in Finite Difference Methods
  • References
  • 2. The Godunov Schemes
  • 2.1 The Origins of Godunov’s First Scheme
  • 2.2 Godunov’s First Scheme. One Dimensional Eulerian Equations
  • 2.3 Godunov’s First Scheme in Two and More Dimensions
  • 2.4 Godunov’s Second Scheme
  • 2.5 The Double Sweep Method
  • 2.6 Execution of the Second Scheme on the Intermediate Layer
  • 2.7 Boundary Conditions on the Intermediate Layer
  • 2.8 Procedure on the Final Layer
  • 2.9 Applications of the Second Godunov Scheme
  • References
  • 3. The BVLR Method
  • 3.1 Description of Method for Supersonic Flow
  • 3.2 Extensions to Mixed Subsonic-Supersonic Flow. The Blunt Body Problem

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