Numerical simulation of a thermally stratified shear layer using the vortex element method
Journal of Computational Physics
Numerical study of a three-dimensional vortex method
Journal of Computational Physics
A deterministic approximation of diffusion equations using particles
SIAM Journal on Scientific and Statistical Computing
Diffusing-vortex numerical scheme for solving incompressible Navier-Stokes equations
Journal of Computational Physics
Three-dimensional vortex simulation of rollup and entrainment in a shear layer
Journal of Computational Physics
A deterministic vortex method for the Navier-Stokes equations
Journal of Computational Physics
Journal of Computational Physics
Boundary conditions for viscous vortex methods
Journal of Computational Physics
Resurrecting Core Spreading Vortex Methods: A New Scheme That Is Both Deterministic and Convergent
SIAM Journal on Scientific Computing
A new diffusion procedure for vortex methods
Journal of Computational Physics
Inviscid axisymmetrization of an elliptical vortex
Journal of Computational Physics
Vortex methods with spatially varying cores
Journal of Computational Physics
A particle method and adaptive treecode for vortex sheet motion in three-dimensional flow
Journal of Computational Physics
Axisymmetric vortex method for low-mach number, diffusion-controlled combustion
Journal of Computational Physics
Journal of Computational Physics
A fast 3D particle method for the simulation of buoyant flow
Journal of Computational Physics
Discretization correction of general integral PSE Operators for particle methods
Journal of Computational Physics
Accurate, non-oscillatory, remeshing schemes for particle methods
Journal of Computational Physics
A self-organizing Lagrangian particle method for adaptive-resolution advection-diffusion simulations
Journal of Computational Physics
Hi-index | 31.47 |
A scheme treating diffusion and remeshing, simultaneously, in Lagrangian vortex methods is proposed. The vorticity redistribution method is adopted to derive appropriate interpolation kernels similar to those used for remeshing in inviscid methods. These new interpolation kernels incorporate diffusion as well as remeshing. During implementation, viscous splitting is employed. The flow field is updated in two fractional steps, where the vortex elements are first convected according to the local velocity, and then their vorticity is diffused and redistributed over a predefined mesh using the extended interpolation kernels. The error characteristics and stability properties of the interpolation kernels are investigated using Fourier analysis. Numerical examples are provided to demonstrate that the scheme can be successfully applied in complex problems, including cases of nonlinear diffusion.