Vortex Flows and Related Numerical Methods

1. Front Matter

   Pages i-vii

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2. Mathematical and numerical modeling of incompressible flows

   1. Local Spectral Analysis of Turbulent Flows using Wavelet Transforms

      • C. Basdevant, V. Perrier, T. Philipovitch, M. Do Khac

      Pages 1-26

   2. Operator Splitting for Navier-Stokes and Chorin-Marsden Product Formula

      • J. Thomas Beale, Claude Greengard, Enrique Thomann

      Pages 27-38

   3. Velicity Methods: Lagrangian Numerical Methods which Preserve the Hamiltonian Structure of Incompressible Fluid Flow

      • Tomas F. Buttke

      Pages 39-57

   4. Statistical Mechanics for the Vortex Model

      • E. Caglioti

      Pages 59-66

   5. On Singular Solutions of the Vlasov-Poisson Equations

      • George Majda

      Pages 67-75

   6. Point Vortices and Localization in Euler Flows

      • Carlo Marchioro

      Pages 77-82

   7. Turbulence Modeling for Incompressible Vortex Flow

      • Philippe Pascal

      Pages 83-104

3. Vorticity generation, wakes and boundary layers in two dimensions

   1. Investigation of the use of Prandtl/Navier-Stokes Equation Procedures for Two-Dimensional Incompressible Flows

      • Christopher R. Anderson, Marc Reider

      Pages 105-115

   2. Vorticity Boundary Conditions for the Navier-Stokes Equation in Velocity-Vorticity Formulation

      • Olivier Daube

      Pages 117-127

   3. A Coupled Potential-Boundary Layer Calculation Method for Unsteady Flows Around Airfoils

      • M. Kermarec, A. F. Decaix, P. Renon, D. Favier, C. Maresca

      Pages 129-143

   4. Viscous Simulation of Wake Patterns

      • Robert Krasny

      Pages 145-151

4. Contour dynamics and vortex methods

   1. The Vorton Method

      • Fons Alkemade, F. T. M. Nieuwstadt, E. Van Groesen

      Pages 153-158

   2. Numerical Simulation of Unsteady Flows Behind Cylindrical Structures Using a Finite Difference-Particle Superposition Algorithm

      • Francis Cassot, Serge Huberson

      Pages 159-170

   3. Moment Accelerated Contour Surgery

      • David G. Dritschel

      Pages 171-178

   4. Direct Numerical Simulations using Vortex Methods

      • P. Koumoutsakos, A. Leonard

      Pages 179-190

   5. Numerical Study of the Motion and Deformation of Two-Dimensional Bubbles by a Vortex Method

      • Henryk Kudela

      Pages 191-205

   6. A Hybrid Vortex Method with Deterministic Diffusion

      • Habib N. Najm

      Pages 207-222

   7. A Slightly Diffusive Contour Dynamics

      • G. Riccardi, R. Piva

      Pages 223-238

5. Computations of three dimensional incompressible flow

   1. Model Coherent Structure Dynamics: Vortex Reconnection, Core Dynamics and Interaction with Turbulence

      • Fazle Hussain, Mogens V. Melander

      Pages 239-264

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.

• Particle-in-cell
• Potential
• algorithms
• combustion
• computational fluid dynamics
• fluid dynamics
• modeling
• numerical methods
• simulation

• Department of Mathematics, Duke University, Durham, USA

  J. T. Beale

• Laboratoire de Modélisation et Calcul, Université Joseph Fourier, Grenoble, France

  G.-H. Cottet

• Université du Havre, Le Havre, France

  S. Huberson

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