Vela Vela, Luis ErnestoReynolds Barredo, José MiguelSánchez Fernández, Luis Raúl2022-09-192022-09-192019-06Vela 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, 140–1530377-0427https://hdl.handle.net/10016/35733An 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.13eng© 2018 Elsevier B.V. All rights reserved.Atribución-NoComercial-SinDerivadas 3.0 EspañaSphSmoothed particle hydrodynamicsGhost particlesBoundary conditionsHydrodynamicsFlowsresearch articleFísicahttps://doi.org/10.1016/j.cam.2018.12.021open access140153JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS353AR/0000023488