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ARTICLE
On Interpolation in SPH
Cranfield University, Cranfield, Bedford, UK
Computer Modeling in Engineering & Sciences 2001, 2(3), 319-336. https://doi.org/10.3970/cmes.2001.002.319
Abstract
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
APA Style
Vignjevic, R., Vuyst, T.D., Gourma, M. (2001). On interpolation in SPH. Computer Modeling in Engineering & Sciences, 2(3), 319-336. https://doi.org/10.3970/cmes.2001.002.319
Vancouver Style
Vignjevic R, Vuyst TD, Gourma M. On interpolation in SPH. Comput Model Eng Sci. 2001;2(3):319-336 https://doi.org/10.3970/cmes.2001.002.319
IEEE Style
R. Vignjevic, T.D. Vuyst, and M. Gourma, “On Interpolation in SPH,” Comput. Model. Eng. Sci., vol. 2, no. 3, pp. 319-336, 2001. https://doi.org/10.3970/cmes.2001.002.319
Copyright © 2001 The Author(s). Published by Tech Science Press.
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.
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.