Dynamic refinement and boundary contact forces in SPH with applications in fluid flow problems

By J. Feldman, Javier Bonet. 2007

255 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/b767384c68bb01fb5944d6ed1986e4547abe025b

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In Civil and Structural Engineering

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

SPH particle boundary forces for arbitrary boundaries (2009, methodology): “An alternative method is the option (c) due to Feldman and Bonet [4] who obtain the SPH density by summing over the particles and correcting the summation by a normalizing function near a surface.”
Smoothed particle hydrodynamics (SPH) for free-surface flows: past, present and future (2016, methodology): “Early efforts to employ the variable particle resolutions in SPH were made by Kitsionas and Whitworth (2002), and later strengthened using a variationally-derived formulation by Feldman and Bonet (2007). More recent work has”
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.”
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.”
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].”