A variational formulation based contact algorithm for rigid boundaries in two-dimensional SPH applications

By Sivakumar Kulasegaram, Javier Bonet, R. Lewis, M. Profit. 2004

181 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/313afe1c02ccaa30dad6e9323766890fe40717c5

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In Civil and Structural Engineering

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Smoothed particle hydrodynamics and magnetohydrodynamics (2010, methodology): “10) – by Springel and Hernquist (2002) and Monaghan (2002), and an incorporation of boundary correction forces (Kulasegaram et al., 2004).”
SPH with the multiple boundary tangent method (2009, background): “Consequently, the proper and correct boundary treatments have been an ongoing concern for an accurate and successful implementation of the SPH approach [24, 25] as well as other meshless methods [26, 27] in the solution of engineering problems with bounded domains.”
Improved Incompressible Smoothed Particle Hydrodynamics method for simulating flow around bluff bodies (2011, background): “Consequently, the proper and correct boundary treatments have been an ongoing concern for an accurate and successful implementation of the SPH approach [12,13] as well as other meshless methods [14,15] in the solution of engineering problems with solid walls.”
State-of-the-art of classical SPH for free-surface flows (2010, unknown): “Similar to this approach there is also the work of Kulasegaram et al. (2004) who use the variational approach as the initial start for a new boundary condition which eventually uses an empirical function to account for the lack of complete kernel support.”
Unified semi‐analytical wall boundary conditions for inviscid, laminar or turbulent flows in the meshless SPH method (2013, methodology): “We recall that r a represents an approximation of the normal to the wall for a particle located at the position ra, with previous approaches using polynomial approximation [1,6], an analytical solution [12], and a discrete summation over boundary points [20].”