SPH particle boundary forces for arbitrary boundaries

By Joseph J Monaghan, Jules B. Kajtar. Computer Physics Communications, 2009

348 citations recorded by the source corpus.

This paper is concerned with approximating arbitrarily shaped boundaries in SPH simulations. We model the boundaries by means of boundary particles which exert forces on a fluid. We show that, when these forces are chosen correctly, and the boundary particle spacing is a factor of 2 (or more) less than the fluid particle spacing, the total boundary force on a fluid SPH particle is perpendicular to boundaries with negligible error. Furthermore, the variation in the force as a fluid particle moves, while keeping a fixed distance from the boundary, is also negligible. The method works equally well for convex or concave boundaries. The new boundary forces simplify SPH algorithms and are superior to other methods for simulating complicated boundaries. We apply the new method to (a) the rise of a cylinder contained in a curved basin, (b) the spin down of a fluid in a cylinder, and (c) the oscillation of a cylinder inside a larger fixed cylinder. The results of the simulations are in good agreement with those obtained using other methods, but with the advantage that they are very simple to implement.

Subfields: Biomedical Engineering, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/3e3fe343277055dd93fe47fe5a782bf01b6bc8c8

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In Biomedical Engineering

In Computational Mechanics

Citations in the corpus

Smoothed particle hydrodynamics (SPH) for free-surface flows: past, present and future (2016, methodology): “More recently, an alternative repulsive force boundary condition was suggested by Monaghan and Kajtar (2009) who used a Laplace summation to formulate the repulsion function.”
Versatile rigid-fluid coupling for incompressible SPH (2012, methodology): “For SPH boundary handling, distance-based penalty methods with boundary particles have been commonly used [Müller et al. 2004; Monaghan 2005; Harada et al. 2007; Monaghan and Kajtar 2009].”
A simple SPH algorithm for multi‐fluid flow with high density ratios (2013, methodology): “We model the boundaries by using boundary force particles [8].”
Unified semi‐analytical wall boundary conditions for inviscid, laminar or turbulent flows in the meshless SPH method (2013, methodology): “01c(2) s ; the position shift in the forces is taken as d D dr=ˇ , using the Wendland one-dimensional quintic for boundary forces [4] and the Wendland quartic kernel for the fluid dynamics.”