Particles simulation of viscous flow
Computers and Fluids
A new vortex scheme for viscous flow
Journal of Computational Physics
Journal of Computational Physics
Boundary conditions for viscous vortex methods
Journal of Computational Physics
Artificial viscosity models for vortex and particle methods
Journal of Computational Physics
Vortex methods with spatially varying cores
Journal of Computational Physics
Vortex methods for high-resolution simulations of viscous flow past bluff bodies of general geometry
Journal of Computational Physics
A vortex particle method for two-dimensional compressible flow
Journal of Computational Physics
A vortex particle method for two-dimensional compressible flow
Journal of Computational Physics
A Lagrangian particle level set method
Journal of Computational Physics
From Navier-Stokes to Stokes by means of particle methods
Journal of Computational Physics
PPM: a highly efficient parallel particle-mesh library for the simulation of continuum systems
Journal of Computational Physics
Numerical simulation of the fluid dynamics of 2D rigid body motion with the vortex particle method
Journal of Computational Physics
An immersed boundary method for smoothed particle hydrodynamics of self-propelled swimmers
Journal of Computational Physics
Journal of Computational Physics
A velocity--diffusion method for a Lotka--Volterra system with nonlinear cross and self-diffusion
Applied Numerical Mathematics
Discretization correction of general integral PSE Operators for particle methods
Journal of Computational Physics
Multiresolution simulations using particles
VECPAR'06 Proceedings of the 7th international conference on High performance computing for computational science
A software framework for the portable parallelization of particle-mesh simulations
Euro-Par'06 Proceedings of the 12th international conference on Parallel Processing
A self-organizing Lagrangian particle method for adaptive-resolution advection-diffusion simulations
Journal of Computational Physics
Hi-index | 31.50 |
A unified approach to approximating spatial derivatives in particle methods using integral operators is presented. The approach is an extension of particle strength exchange, originally developed for treating the Laplacian in advection-diffusion problems. Kernels of high order of accuracy are constructed that can be used to approximate derivatives of any degree. A new treatment for computing derivatives near the edge of particle coverage is introduced, using "one-sided" integrals that only look for information where it is available. The use of these integral approximations in wave propagation applications is considered and their error is analyzed in this context using Fourier methods. Finally, simple tests are performed to demonstrate the characteristics of the treatment, including an assessment of the effects of particle dispersion, and their results are discussed.