Abstract
Anomalous fluctuations in pressure associated with the Lagrangian smoothed particle hydrodynamics method (SPH) have recently been treated by introducing diffusive terms in the conservation of mass equation. Here, five consistency conditions are proposed for such diffusive terms; three that must be satisfied and two that add to the generality of the models. Each of the existing diffusive terms are reviewed and their consistency properties and relationships discussed and summarized to provide a guide for their usage. The equivalence of Riemann solver SPH formulations and conservation of mass equation diffusive terms is demonstrated in this paper. A practical application consisting of a simulation of a dam break flow is proposed to show the consistency properties and relationship of some of the diffusive terms discussed in the paper.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 8722-8736 |
| Number of pages | 15 |
| Journal | Applied Mathematical Modelling |
| Volume | 40 |
| Issue number | 19-20 |
| DOIs | |
| State | Published - Oct 1 2016 |
Funding
J.L. C.-P. has received funding from the Spanish Ministry for Science and Innovation under grant TRA2010-16988 “Caracterización Numérica y Experimental de las Cargas Fluido-Dinámicas en el transporte de Gas Licuado” and R.A.D. has been supported by the Office of Naval Research, Coastal Geosciences and Optics Program.
Keywords
- Conservation
- Consistency
- Riemann solvers
- SPH
- δ-SPH
ASJC Scopus subject areas
- Modeling and Simulation
- Applied Mathematics