A brief overview of vortex methods
Abstract
The design and application of vortex methods for the numerical solution of flow problems are discussed in an analytical review. Topics addressed include the Navier-Stokes and vorticity transport equations, approximate Lagrangian particle-trajectory approaches, numerical approximations to the equations of motion for free-space inviscid and incompressible viscous flows, boundary conditions, and fast summation methods. Particular attention is given to the treatment of vortex sheets, vortex pairing, mixing and shear layers, two-fluid problems, external and internal flow problems, reactive flows, and three-dimensional problems. Techniques for measuring the accuracy of a random vortex simulation are examined, and basic convergence results are summarized.
- Publication:
-
Vortex Methods and Vortex Motion
- Pub Date:
- 1991
- Bibcode:
- 1991vmvm.proc....1S
- Keywords:
-
- Computational Fluid Dynamics;
- Inviscid Flow;
- Transport Properties;
- Vorticity Equations;
- Bluff Bodies;
- Boundary Conditions;
- Convergence;
- Cylinders;
- Equations Of Motion;
- Flame Propagation;
- Incompressible Flow;
- Mixing;
- Navier-Stokes Equation;
- Particle Trajectories;
- Shear Layers;
- Two Fluid Models;
- Viscous Flow;
- Vortex Sheets;
- Vorticity Transport Hypothesis;
- Fluid Mechanics and Heat Transfer