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2013 | OriginalPaper | Chapter

Efficient Neighborhood Search in SPH

Authors : Juan Pablo Cruz Pérez, José Antonio González Cervera

Published in: Fluid Dynamics in Physics, Engineering and Environmental Applications

Publisher: Springer Berlin Heidelberg

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Abstract

One of the main problems found during the implementation of an N-body algorithm, is its inefficiency when the number of points to evaluate is increased. This is a consequence of the order \(O(N^2)\) of these methods. With this in mind, when we use the method of Smoothed Particle Hydrodynamics (SPH), it is necessary to find an algorithm that allows us to make the computation in an efficient way. The method presented in this article is of order \(O(N)\), being more efficient as well as easy to implement, reducing the computing time.

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Footnotes
1
\([\frac{a}{b}]=c,\) where \(a\) and \(b\) are real numbers and \(c\) is the integer such that \(a=b \cdot c+r\), here \(r\) is a real too.
 
Literature
go back to reference Gafton E, Rosswog S (2011) A fast recursive coordinate bisection tree for neighbor search and gravity. Mon Not R Astron Soc 418(2):770–781 Gafton E, Rosswog S (2011) A fast recursive coordinate bisection tree for neighbor search and gravity. Mon Not R Astron Soc 418(2):770–781
go back to reference Hernquist L, Kats N (1989) TREESPH: a unification of SPH with the hierarchical tree method. Astrophys J Suppl Ser 70:419–446 Hernquist L, Kats N (1989) TREESPH: a unification of SPH with the hierarchical tree method. Astrophys J Suppl Ser 70:419–446
go back to reference Liu GR , Liu MB (2009) Smoothed Particle Hydrodynamics: a mesh free particle method. World Scientific Publishing Co Pte Ltd, New Jersey Liu GR , Liu MB (2009) Smoothed Particle Hydrodynamics: a mesh free particle method. World Scientific Publishing Co Pte Ltd, New Jersey
go back to reference Onderik J, Durikovic R (2007) Efficient neighbour search for particle-based fluids. J Appl Math Stat Inform 4(1):29–43 Onderik J, Durikovic R (2007) Efficient neighbour search for particle-based fluids. J Appl Math Stat Inform 4(1):29–43
go back to reference Press WH, Teukolsky SA, Vettering WT, Flannery BP (1997) Numerical recipes in fotran. Cambridge University Press, New york Press WH, Teukolsky SA, Vettering WT, Flannery BP (1997) Numerical recipes in fotran. Cambridge University Press, New york
go back to reference Press WH, Teukolsky SA, Vetterling WT, Flannery BP (2007) Numerical recipes: the art of scientific computing, 3rd edn. Cambridge University Press, New York, ISBN 978-0-521-88068-8 Press WH, Teukolsky SA, Vetterling WT, Flannery BP (2007) Numerical recipes: the art of scientific computing, 3rd edn. Cambridge University Press, New York, ISBN 978-0-521-88068-8
go back to reference Rodríguez-Meza MA, Suárez-Casino J, Matos T (2011) Métodos Numéricos en Astrofísica, Estado de México: Inovación Editorial Lagares de México, S.A. de C.V. Rodríguez-Meza MA, Suárez-Casino J, Matos T (2011) Métodos Numéricos en Astrofísica, Estado de México: Inovación Editorial Lagares de México, S.A. de C.V.
Metadata
Title
Efficient Neighborhood Search in SPH
Authors
Juan Pablo Cruz Pérez
José Antonio González Cervera
Copyright Year
2013
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-27723-8_12