Vortex Flows and Related Numerical Methods

✍ Scribed by C. Basdevant, V. Perrier, T. Philipovitch, M. Do Khac (auth.), J. T. Beale, G.-H. Cottet, S. Huberson (eds.)

• Publisher: Springer Netherlands
• Year: 1993
• Tongue: English
• Leaves: 385
• Series: NATO ASI Series 395
• Edition: 1
• Category: Library

✦ Synopsis

Many important phenomena in fluid motion are evident in vortex flow, i.e., flows in which vortical structures are significant in determining the whole flow. This book, which consists of lectures given at a NATO ARW held in Grenoble (France) in June 1992, provides an up-to-date account of current research in the study of these phenomena by means of numerical methods and mathematical modelling.
Such methods include Eulerian methods (finite difference, spectral and wavelet methods) as well as Lagrangian methods (contour dynamics, vortex methods) and are used to study such topics as 2- or 3-dimensional turbulence, vorticity generation by solid bodies, shear layers and vortex sheets, and vortex reconnection.
For researchers and graduate students in computational fluid dynamics, numerical analysis, and applied mathematics.

✦ Table of Contents

Front Matter....Pages i-vii
Local Spectral Analysis of Turbulent Flows using Wavelet Transforms....Pages 1-26
Operator Splitting for Navier-Stokes and Chorin-Marsden Product Formula....Pages 27-38
Velicity Methods: Lagrangian Numerical Methods which Preserve the Hamiltonian Structure of Incompressible Fluid Flow....Pages 39-57
Statistical Mechanics for the Vortex Model....Pages 59-66
On Singular Solutions of the Vlasov-Poisson Equations....Pages 67-75
Point Vortices and Localization in Euler Flows....Pages 77-82
Turbulence Modeling for Incompressible Vortex Flow....Pages 83-104
Investigation of the use of Prandtl/Navier-Stokes Equation Procedures for Two-Dimensional Incompressible Flows....Pages 105-115
Vorticity Boundary Conditions for the Navier-Stokes Equation in Velocity-Vorticity Formulation....Pages 117-127
A Coupled Potential-Boundary Layer Calculation Method for Unsteady Flows Around Airfoils....Pages 129-143
Viscous Simulation of Wake Patterns....Pages 145-151
The Vorton Method....Pages 153-158
Numerical Simulation of Unsteady Flows Behind Cylindrical Structures Using a Finite Difference-Particle Superposition Algorithm....Pages 159-170
Moment Accelerated Contour Surgery....Pages 171-178
Direct Numerical Simulations using Vortex Methods....Pages 179-190
Numerical Study of the Motion and Deformation of Two-Dimensional Bubbles by a Vortex Method....Pages 191-205
A Hybrid Vortex Method with Deterministic Diffusion....Pages 207-222
A Slightly Diffusive Contour Dynamics....Pages 223-238
Model Coherent Structure Dynamics: Vortex Reconnection, Core Dynamics and Interaction with Turbulence....Pages 239-264
The Nonlinear Dynamics of a Jet Shear Layer with Swirl....Pages 265-278
Dynamics of Vortex Tubes in Three-Dimensional Turbulence....Pages 279-291
Numerical Simulation of Axisymmetric Vortex Sheet Roll-Up....Pages 293-301
Free Vortex Rings, Analogies and Differences Between Vorticity and a Passive Scalar....Pages 303-313
Turbulent Eddy Structures, Combustion and Chemical Reactions....Pages 315-324
Vortex Generation and Evolution in Numerical Simulation of Transitional Shear Flows....Pages 325-340
Stability Analysis of Differentially-Heated Asymmetric Vorticity Layers....Pages 341-372
A Particle in Cell Method for the 2-D Compressible Euler Equations....Pages 373-387

✦ Subjects

Mechanics;Numeric Computing;Theoretical, Mathematical and Computational Physics