Abstract | ||
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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. |
Year | DOI | Venue |
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2011 | 10.1016/j.jcp.2011.06.013 | J. Comput. Physics |
Keywords | Field | DocType |
open-boundary flows,incompressible flow,flow around obstacle,artificial homogeneous neumann boundary,sph simulation,consistent pressure boundary condition,outflow boundary,boundary conditions,usual periodic boundary condition,pressure poisson equation,incompressibility,artificial pressure boundary condition,numerical boundary layer,projection scheme,open boundary,smoothed particle hydrodynamics,normal pressure gradient,poisson equation,boundary condition,boundary layer,fluid flow,pressure gradient,periodic boundary condition,smooth particle hydrodynamics,projection method,neumann boundary condition | Boundary value problem,Smoothed-particle hydrodynamics,Mathematical optimization,Vorticity,Mathematical analysis,Periodic boundary conditions,Fluid dynamics,Boundary layer,Neumann boundary condition,Pressure gradient,Mathematics | Journal |
Volume | Issue | ISSN |
230 | 19 | Journal of Computational Physics |
Citations | PageRank | References |
7 | 0.79 | 5 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
S. Majid Hosseini | 1 | 7 | 0.79 |
James J. Feng | 2 | 98 | 9.23 |