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On Interpolation in SPH

R. Vignjevic, T. De Vuyst, M. Gourma1

Cranfield University, Cranfield, Bedford, UK

Computer Modeling in Engineering & Sciences 2001, 2(3), 319-336.


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.

Cite This Article

Vignjevic,, R. (2001). On Interpolation in SPH. CMES-Computer Modeling in Engineering & Sciences, 2(3), 319–336.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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