High-resolution conservative algorithms for advection in incompressible flow
SIAM Journal on Numerical Analysis
A comparison of spectral and vortex methods in three-dimensional incompressible flows
Journal of Computational Physics
Blending Finite-Difference and Vortex Methods for Incompressible Flow Computations
SIAM Journal on Scientific Computing
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
Advances in direct numerical simulations of 3D wall-bounded flows by Vortex-in-Cell methods
Journal of Computational Physics
A Lagrangian particle level set method
Journal of Computational Physics
Modified interpolation kernels for treating diffusion and remeshing in vortex methods
Journal of Computational Physics
PPM: a highly efficient parallel particle-mesh library for the simulation of continuum systems
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Hybrid spectral-particle method for the turbulent transport of a passive scalar
Journal of Computational Physics
Hi-index | 31.45 |
In this article we propose and validate new remeshing schemes for the simulation of transport equations by particle methods. Particle remeshing is a common way to control the regularity of the particle distribution which is necessary to guarantee the accuracy of particle methods in presence of strong strain in a flow. Using a grid-based analysis, we derive remeshing schemes that can be used in a consistent way at every time-step in a particle method. The schemes are obtained by local corrections of classical third order and fifth order interpolation kernels. The time-step to be used in the resulting push-and-remesh particle method is determined on the basis of rigorous bounds and can significantly exceed values obtained by CFL conditions in usual grid-based Eulerian methods. In addition, we extend the analysis of [5] to obtain TVD remeshing schemes that avoid oscillations of remeshing formulas near sharp variations of the solution. These methods are illustrated in several flow conditions in 1D, 2D and 3D.