Publication: A positioning algorithm for SPH ghost particles in smoothly curved geometries
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2019-06
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ELSEVIER BV
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Abstract
An algorithm to place ghost particles across the domain boundary in the context of
Smoothed Particle Hydrodynamics (SPH) is derived from basic principles, and constructed
for several simple, three-dimensional, geometries. The performance of the algorithm is
compared against the more commonly used ‘‘mirrored with respect to the local tangent
plane" approach and shown to converge to it whenever the distance of the particles to the
reflecting boundary is much smaller than a local measure of the surface’s curvature. The
algorithm is demonstrated, tested and compared against the usual approach via simulations of a compressible flow around a cylinder, and the numerical cost of implementing it
is addressed. We conclude that use of ghost particles to enforce boundary conditions is not
only viable in the presence of smoothly curved boundaries, but more robust than the usual
method for low-resolution scenarios.
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Sph, Smoothed particle hydrodynamics, Ghost particles, Boundary conditions, Hydrodynamics, Flows
Bibliographic citation
Vela Vela, L., Reynolds-Barredo, J. M., & Sánchez, R. (2019). A positioning algorithm for SPH ghost particles in smoothly curved geometries. In Journal of Computational and Applied Mathematics, 353, 140–153