SPH modeling of Laminar flows through a novel ghost-fluid technique

A novel technique based on ghost-fluid approach has been defined to enforce proper boundary conditions along solid profiles in Smoothed Particle Hydrodynamics schemes (SPH). The present work extends the classic ghost fluid method (see, for example, [4]) used for inviscid flows to simulate viscous laminar flows. The main idea is to couple the technique proposed by De Leffe (2011) [7] where a proper ghost fluid field is defined for each SPH differential operator, to the mirroring technique proposed by [17]. Furthermore the evaluation of global loads on bodies is formulated in the ghost fluid framework. The SPH model presented is validated on the problem of the flow past a cylinder for three different Reynolds numbers