A second-order accurate pressure correction scheme for viscous incompressible flow
SIAM Journal on Scientific and Statistical Computing
High strain Lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response
Journal of Computational Physics
Modeling low Reynolds number incompressible flows using SPH
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
Journal of Computational Physics
On deflation and singular symmetric positive semi-definite matrices
Journal of Computational and Applied Mathematics
An improved SPH method: Towards higher order convergence
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Numerical simulation of single droplet dynamics in three-phase flows using ISPH
Computers & Mathematics with Applications
Unified semi-analytical wall boundary conditions applied to 2-D incompressible SPH
Journal of Computational Physics
Hi-index | 31.46 |
In Smoothed Particle Hydrodynamics (SPH) methods for fluid flow, incompressibility may be imposed by a projection method with an artificial homogeneous Neumann boundary condition for the pressure Poisson equation. This is often inconsistent with physical conditions at solid walls and inflow and outflow boundaries. For this reason open-boundary flows have rarely been computed using SPH. In this work, we demonstrate that the artificial pressure boundary condition produces a numerical boundary layer that compromises the solution near boundaries. We resolve this problem by utilizing a ''rotational pressure-correction scheme'' with a consistent pressure boundary condition that relates the normal pressure gradient to the local vorticity. We show that this scheme computes the pressure and velocity accurately near open boundaries and solid objects, and extends the scope of SPH simulation beyond the usual periodic boundary conditions.