On the consistency of MPS
Fluid Dynamics
2013-07-26 v1 Computational Physics
Abstract
The consistency of Moving Particle Semi-implicit (MPS) method in reproducing the gradient, divergence and Laplacian differential operators is discussed in the present paper. Its relation to the Smoothed Particle Hydrodynamics (SPH) method is rigorously established. The application of the MPS method to solve the Navier-Stokes equations using a fractional step approach is treated, unveiling inconsistency problems when solving the Poisson equation for the pressure. A new corrected MPS method incorporating boundary terms is proposed. Applications to one dimensional boundary value Dirichlet and mixed Neumann-Dirichlet problems and to two-dimensional free-surface flows are presented.
Cite
@article{arxiv.1307.6733,
title = {On the consistency of MPS},
author = {Antonio Souto-Iglesias and Fabricio Macià and Leo M. González and Jose L. Cercos-Pita},
journal= {arXiv preprint arXiv:1307.6733},
year = {2013}
}
Comments
36 pages