WIT Press

Coherent vorticity and discontinuous flow in particle-based SPH modeling


Free (open access)


Volume 10 (2022), Issue 3



Page Range

224 - 236

Paper DOI



WIT Press


Oddny H. Brun, Joseph T. Kider, JR. & R. Paul Wiegand


Smoothing sequences in smoothed particle hydrodynamics (SPH) contain numerous discontinuities. In general, in science, discontinuities are well known to cause inaccuracy if smoothing is performed without taking the discontinuity into consideration, most commonly referred to as the Gibbs phenomenon. We found that 24%–27% of the fluid particles at any given time step have sequences containing one or more discontinuities in typical benchmark fluid problems. The effect of taking the discontinuities into consideration for the fluid particles that show coherent vorticity resulted typically in a 50% of change in particle movement compared to that particle’s movement from its current time step to the next. First and second generation wavelets were used for discontinuity identification and vorticity analysis, respectively. Results of a sloshing tank case simulated by the SPH method were used for the analysis.


Discontinuities, second-generation wavelets, smoothing, smoothed particle hydrodynamics (SPH), vorticity.