Vortex Flows and Related Numerical Methods

Mathematical and numerical modeling of incompressible flows.- Local spectral analysis of turbulent flows using wavelet transforms.- Operator splitting for Navier-Stokes and Chorin-Marsden product formula.- Velicity methods: Lagrangian numerical methods which preserve the Hamiltonian structure of incompressible fluid flow.- Statistical mechanics for the vortex model.- On singular solutions of the Vlasov-Poisson equations.- Point vortices and localization in Euler flows.- Turbulence modeling for incompressible vortex flow.- Vorticity generation, wakes and boundary layers in two dimensions.- Investigation of the use of the Prandtl/Navier-Stokes equation procedures for two-dimensional incompressible flows.- Vorticity boundary conditions for the Navier-Stokes equation in velocity-vorticity formulation.- A coupled potential-boundary layer calculation method for unsteady flows around airfoils.- Viscous simulation of wake patterns.- Contour dynamics and vortex methods.- The vorton methods.- Numerical simulation of unsteady flows behind cylindrical structures using a finite difference-particle superposition algorithm.- Moment accelerated contour surgery.- Direct numerical simulations using vortex methods.- Numerical study of the motion and deformation of two-dimensional bubbles by a vortex method.- A hybrid vortex method with deterministic diffusion.- A slightly diffusive contour dynamics.- Computations of three dimensional incompressible flow.- Model coherent structure dynamics: vortex reconnection, core dynamics and interaction with turbulence.- The nonlinear dynamics of a jet shear layer with swirl.- Dynamics of vortex tubes in three-dimensional turbulence.- Numerical simulation of axisymmetric vortex sheet roll-up.- Free vortex rings, analogies and differences between vorticity and a passive scalar.- Compressible and reacting flows.- Turbulent eddy structures, combustion and chemical reactions.- Vortex generation and evolution in numerical simulation of transitional shear flows.- Stability analysis of differentially-heated asymmetric vorticity layers.- A particle in cell method for the 2-D compressible Euler equations.