Higher-order velocity and pressure boundary conditions for Eulerian incompressible SPH

Research output: Contribution to conferencePaper


Recently, Eulerian SPH has been shown capable of higher than second-order accuracy for wall-bounded fluid mechanics problems provided appropriate modifications were applied to the smoothing kernel function and high-order accurate Dirichlet boundary conditions were used for the velocity field. Although up-to fourth-order accuracy has been achieved this was only for velocity due to the lack of high-order accurate Neumann boundary conditions for pressure. In this paper, a fourth-order accurate finite difference extrapolation technique for Dirichlet and Neumann boundary conditions is presented and validated using 3-D convergence studies. As far as the authors are aware, it will be the first time this has been demonstrated for SPH.

Bibliographical metadata

Original languageEnglish
Publication statusPublished - 24 Jun 2019
Event14th SPHERIC International Workshop - University of Exeter, Exeter, United Kingdom
Event duration: 25 Aug 201927 Aug 2019


Conference14th SPHERIC International Workshop
CountryUnited Kingdom