Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0377-0427(02)00869-5
DC FieldValue
dc.titleConstructing smoothing functions in smoothed particle hydrodynamics with applications
dc.contributor.authorLiu, M.B.
dc.contributor.authorLiu, G.R.
dc.contributor.authorLam, K.Y.
dc.date.accessioned2014-06-17T06:15:37Z
dc.date.available2014-06-17T06:15:37Z
dc.date.issued2003-06-15
dc.identifier.citationLiu, M.B., Liu, G.R., Lam, K.Y. (2003-06-15). Constructing smoothing functions in smoothed particle hydrodynamics with applications. Journal of Computational and Applied Mathematics 155 (2) : 263-284. ScholarBank@NUS Repository. https://doi.org/10.1016/S0377-0427(02)00869-5
dc.identifier.issn03770427
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/59787
dc.description.abstractThis paper presents a general approach to construct analytical smoothing functions for the meshfree, Lagrangian and particle method of smoothed particle hydrodynamics. The approach uses integral form of function representation and applies Taylor series expansion to the SPH function and derivative approximations. The constructing conditions are derived systematically, which not only interpret the consistency condition of the method, but also describe the compact supportness requirement of the smoothing function. Examples of SPH smoothing function are constructed including some existing ones. With this approach, a new quartic smoothing function with some advantages is constructed, and is applied to the one dimensional shock problem and a one dimensional TNT detonation problem. The good agreement between the SPH results and those from other sources shows the effectiveness of the approach and the newly constructed smoothing function in numerical simulations. © 2003 Elsevier Science B.V. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/S0377-0427(02)00869-5
dc.sourceScopus
dc.subjectConstructing condition
dc.subjectHydrodynamic simulation
dc.subjectSmoothed particle hydrodynamics
dc.subjectSmoothing function
dc.typeArticle
dc.contributor.departmentMECHANICAL ENGINEERING
dc.description.doi10.1016/S0377-0427(02)00869-5
dc.description.sourcetitleJournal of Computational and Applied Mathematics
dc.description.volume155
dc.description.issue2
dc.description.page263-284
dc.identifier.isiut000183213600006
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