A consistent incompressible SPH method for internal flows with fixed and moving boundaries

S. Jahangiri Mamouri, R Fatehi, M T Manzari

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


An improved incompressible smoothed particle hydrodynamics (ISPH) method is presented, which employs first-order consistent discretization schemes both for the first-order and second-order spatial derivatives. A recently introduced wall boundary condition is implemented in the context of ISPH method, which does not rely on using dummy particles and, as a result, can be applied more efficiently and with less computational complexity. To assess the accuracy and computational efficiency of this improved ISPH method, a number of two-dimensional incompressible laminar internal flow benchmark problems are solved and the results are compared with available analytical solutions and numerical data. It is shown that using smaller smoothing lengths, the proposed method can provide desirable accuracies with relatively less computational cost for two-dimensional problems. Copyright © 2015 John Wiley & Sons, Ltd.
Original languageEnglish
Pages (from-to)589-610
Number of pages22
JournalInternational Journal for Numerical Methods in Fluids
Issue number10
Early online date6 Dec 2015
Publication statusPublished - 10 Aug 2016

Bibliographical note

The corresponding author wishes to express his sincerest thanks to the Iran National Science Foundation (INSF) for supporting this work under contract number 92021291.


  • smoothed particle hydrodynamics (SPH)
  • incompressible flow
  • consistency
  • smoothing length


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