期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 230, 期 19, 页码 7473-7487出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2011.06.013
关键词
Smoothed Particle Hydrodynamics; Projection scheme; Incompressibility; Pressure Poisson equation; Boundary conditions; Open-boundary flows; Flow around obstacle
资金
- Petroleum Research Fund
- Canada Research Chair program
- NSERC
- CFI
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. (C) 2011 Elsevier Inc. All rights reserved.
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