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Unsteady Viscous Flows

Most of the fundamental concepts of unsteady viscous flows have been known since the early part of the century. However, the past decade has seen an unprecedented number of publications in this area. In this monograph I try to connect materials of earlier contributions and synthesize them into a com...

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Bibliographic Details
Main Author: Telionis, Demetri P.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1981, 1981
Edition:1st ed. 1981
Series:Scientific Computation
Subjects:
Continuum Mechanics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. Basic Concepts
  • 1.1 Introduction
  • 1.2 The Governing Equations
  • 1.3 Characteristics
  • 1.4 Subcharacteristics
  • 1.5 Navier-Stokes versus Euler and Prandtl
  • 1.6 Zones of Influence and Dependence
  • 1.7 Existence, Uniqueness, and Bounds
  • 2. Numerical Analysis
  • 2.1 Introduction
  • 2.2 Convergence
  • 2.3 Stability
  • 2.4 Consistency and the Equivalence Theorem
  • 2.5 Unsteady Flow Equations
  • 2.6 Implicit Schemes
  • 2.7 The Keller-Box Method
  • 2.8 Upwind Differencing
  • 2.9 Navier-Stokes—Lattices and Boundary Conditions
  • 3. Impulsive Motion
  • 3.1 Introduction
  • 3.2 The Flow Immediately after an Impulsive Start
  • 3.3 An Order of Magnitude Analysis
  • 3.4 Infinite Bodies—Rayleigh Problems
  • 3.5 Pointed Bodies Started Impulsively
  • 3.6 Blunt Bodies Started Impulsively
  • 3.7 Solutions to the Full Navier-Stokes Equations
  • 3.8 Results and Physical Interpretation
  • 3.9 A Computer Program
  • 4. Oscillations with Zero Mean
  • 4.1 Introduction
  • 4.2 Oscillations of an Infinite Flat Plate
  • 4.3 Oscillations of a Blunt Body
  • 4.4 The Streaming Layer
  • 4.5 Inner and Outer Expansions
  • 4.6 Typical Results
  • 5. Oscillating Flows with Non-Vanishing Mean
  • 5.1 Introduction
  • 5.2 Perturbation Methods
  • 5.3 The Method of Averaging
  • 5.4 The Boundary Layer Approximation
  • 5.5 Numerical Results and Their Physical Significance
  • 5.6 Nonlinear Effects
  • 5.7 Traveling Waves
  • 6. Unsteady Turbulent Flows
  • 6.1 Introduction
  • 6.2 The Triple Decomposition
  • 6.3 Algebraic Models
  • 6.4 One- and Two-Equation Models
  • 6.5 Numerical Results and Experimental Data
  • 6.6 A Computer Program
  • 7. Unsteady Separation
  • 7.1 Introduction
  • 7.2 Separation over Moving Walls
  • 7.3 Asymptotic Methods
  • 7.4 Semisimilar Solutions
  • 7.5 Direct Numerical Integration—Impulsive and Transient Changes
  • 7.6 LagrangianFormulation
  • 7.7 The Emergence of Separation
  • 7.8 Wakes
  • 7.9 A Computer Program

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