On interpolation in SPH

R. Vignjevic, T. De Vuyst, M. Gourma

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


The work presented provides an overview of different types of kernel interpolation used in the SPH method: conventional SPH, normalised SPH (NSPH), corrected kernel SPH (CSPH) and normalised corrected kernel SPH (NCSPH). These four methods are considered in a fully mesh-free form (using no background mesh). To illustrate the effect of using different interpolation methods two problems were simulated: a 1D symmetric elastic impact problem, and a shock-tube. An overview of the simulation results for the two problems is given. Shortcomings for the interpolation schemes tested were identified and discussed. It is concluded that NCSPH provides the best results. To establish whether the better results obtained with the NCSPH method are sufficient, or further improvements are needed, it will be necessary to conduct tests in two and three dimensions.
Original languageEnglish
Pages (from-to)319-336
Number of pages18
JournalCMES - Computer Modeling in Engineering and Sciences
Issue number3
Publication statusPublished - 1 Dec 2001


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