On the consistency of MPS
arXiv:1307.6733 · doi:10.1016/j.cpc.2012.11.009
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.
36 pages
References in corpus (2)
Cited by in corpus (5)
- Improving stability of moving particle semi-implicit method by source terms based on time-scale correction of particle-level impulses
- Addendum to "On the consistency of MPS"
- A comparison between weakly-compressible smoothed particle hydrodynamics (WCSPH) and moving particle semi-implicit (MPS) methods for 3d dam-break flows
- Fluid-driven granular dynamics through a consistent multi-resolution particle method
- Border mapping multi-resolution (BMMR) technique for incompressible projection-based particle methods