High strain Lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response
Journal of Computational Physics
Simulating free surface flows with SPH
Journal of Computational Physics
Smoothed particle hydrodynamics stability analysis
Journal of Computational Physics
A switch to reduce SPH viscosity
Journal of Computational Physics
Journal of Computational Physics
SPH without a tensile instability
Journal of Computational Physics
Numerical simulation of interfacial flows by smoothed particle hydrodynamics
Journal of Computational Physics
Two-dimensional SPH simulations of wedge water entries
Journal of Computational Physics
A regularized Lagrangian finite point method for the simulation of incompressible viscous flows
Journal of Computational Physics
HyPAM: A hybrid continuum-particle model for incompressible free-surface flows
Journal of Computational Physics
Journal of Computational Physics
Discretization correction of general integral PSE Operators for particle methods
Journal of Computational Physics
Error estimation in smoothed particle hydrodynamics and a new scheme for second derivatives
Computers & Mathematics with Applications
Enhancement of stability and accuracy of the moving particle semi-implicit method
Journal of Computational Physics
Pressure boundary conditions for computing incompressible flows with SPH
Journal of Computational Physics
On the maximum time step in weakly compressible SPH
Journal of Computational Physics
Hi-index | 31.49 |
This paper evaluates various formulations of the SPH method for solving the Euler equations. Convergence and stability aspects are discussed and tested, taking into account subtleties induced by the presence of a free surface. The coherence between continuity and momentum equations is considered using a variational study. The use of renormalization to improve the accuracy of the simulations is investigated and discussed. A new renormalization-based formulation involving wide accuracy improvements of the scheme is introduced. The classical SPH and renormalized approaches are compared to the new method using simple test cases, thus outlining the efficiency of this new improved SPH method. Finally, the so-called ''tensile instability'' is shown to be prevented by this enhanced SPH method, through accuracy increases in the gradient approximations.