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

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

Category
Academic article
Abstract
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.
Language
English
Affiliation
  • SINTEF Industry / Petroleum
  • SINTEF Industry / Process Technology
  • SINTEF Digital / Mathematics and Cybernetics
  • SINTEF Ocean / Sjømatteknologi
  • SINTEF Community / Architecture, Materials and Structures
  • SINTEF Industry / Materials and Nanotechnology
  • SINTEF Ocean / Skip og havkonstruksjoner
Year
Published in
Procedia IUTAM
ISSN
2210-9838
Volume
18
Page(s)
85 - 95