Vortex methods for two and threedimensional flow simulations
Abstract
The point vortex and vortex blob methods for two dimensional flows are presented. Several results are discussed concerning the numerical analysis of the latter scheme, e.g., the preservation of globally conserved quantities and the analysis of the spatial discretization error resulting from the convection of fixed blobs of vorticity. An application to the two dimensional mixing layer is briefly described. The contour dynamics method is also discussed. The simulation of three dimensional flows with vortex methods is discussed. A natural way to represent the vorticity is in the form of closed tubes of filaments of vorticity, although other schemes are examined. Applications to aircraft trailing vortices and to a turbulent spot in a laminar boundary layer are presented. Hybrid schemes that use an Eulerian mesh to solve the Poisson equation for the velocity field are discussed. The goal of these schemes is to avoid the high cost of the BiotSavart integration if many vortex elements are used while enjoying most of the advantages of pure Lagrangian schemes.
 Publication:

In Von Karman Inst. for Fluid Dyn. Computational Fluid Dyn
 Pub Date:
 1980
 Bibcode:
 1980cofd....2.....L
 Keywords:

 Computational Fluid Dynamics;
 Fluid Flow;
 Three Dimensional Flow;
 Vortices;
 Aircraft Configurations;
 Laminar Boundary Layer;
 Mixing Layers (Fluids);
 Poisson Equation;
 Trailing Edges;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer