Density-consistent Initialization of SPH on a Regular Cartesian Grid: Comparative Numerical Study of 10 Smoothing Kernels in 1, 2 and 3 Dimensions

Smoothed particle hydrodynamics (SPH) simulations are often initialized on a regular Cartesian grid. Ten SPH kernels were analyzed numerically with respect to their ability to correctly reproduce a uniform density distribution. Three types of kernels were identified. The number of neighboring partic...

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Published inProcedia IUTAM Vol. 18; pp. 85 - 95
Main Authors Lavrov, Alexandre, Skjetne, Paal, Lund, Bjørnar, Bjønnes, Erik, Bjørnson, Finn Olav, Busklein, Jan Ove, Coudert, Térence, Klebert, Pascal, Lye, Kjetil Olsen, Olsen, Jan Erik, Pákozdi, Csaba, Seland, Johan, Yang, Wei
Format Journal Article
LanguageEnglish
Published Elsevier B.V 2015
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Summary:Smoothed particle hydrodynamics (SPH) simulations are often initialized on a regular Cartesian grid. Ten SPH kernels were analyzed numerically with respect to their ability to correctly reproduce a uniform density distribution. Three types of kernels were identified. The number of neighboring particles required to represent the density with an accuracy of 0.1% was obtained for the 10 kernels in 1, 2 and 3 dimensions. The effect of random particle displacements from grid nodes on the error was investigated. The results of the study are important for correct application of initial conditions in SPH simulations.
ISSN:2210-9838
2210-9838
DOI:10.1016/j.piutam.2015.11.009