# High order semi-lagrangian particle methods for transport equations: numerical analysis and implementation issues

G.-H. Cottet; J.-M. Etancelin; F. Perignon; C. Picard

- Volume: 48, Issue: 4, page 1029-1060
- ISSN: 0764-583X

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topCottet, G.-H., et al. "High order semi-lagrangian particle methods for transport equations: numerical analysis and implementation issues." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 48.4 (2014): 1029-1060. <http://eudml.org/doc/273120>.

@article{Cottet2014,

abstract = {This paper is devoted to the definition, analysis and implementation of semi-Lagrangian methods as they result from particle methods combined with remeshing. We give a complete consistency analysis of these methods, based on the regularity and momentum properties of the remeshing kernels, and a stability analysis of a large class of second and fourth order methods. This analysis is supplemented by numerical illustrations. We also describe a general approach to implement these methods in the context of hybrid computing and investigate their performance on GPU processors as a function of their order of accuracy.},

author = {Cottet, G.-H., Etancelin, J.-M., Perignon, F., Picard, C.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {advection equations; particle methods; semi-lagrangian methods; GPU computing; multidimensional transport equation; particle method; remeshing; convergence; stability; semi-Lagrangian methods; numerical examples; algorithm},

language = {eng},

number = {4},

pages = {1029-1060},

publisher = {EDP-Sciences},

title = {High order semi-lagrangian particle methods for transport equations: numerical analysis and implementation issues},

url = {http://eudml.org/doc/273120},

volume = {48},

year = {2014},

}

TY - JOUR

AU - Cottet, G.-H.

AU - Etancelin, J.-M.

AU - Perignon, F.

AU - Picard, C.

TI - High order semi-lagrangian particle methods for transport equations: numerical analysis and implementation issues

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2014

PB - EDP-Sciences

VL - 48

IS - 4

SP - 1029

EP - 1060

AB - This paper is devoted to the definition, analysis and implementation of semi-Lagrangian methods as they result from particle methods combined with remeshing. We give a complete consistency analysis of these methods, based on the regularity and momentum properties of the remeshing kernels, and a stability analysis of a large class of second and fourth order methods. This analysis is supplemented by numerical illustrations. We also describe a general approach to implement these methods in the context of hybrid computing and investigate their performance on GPU processors as a function of their order of accuracy.

LA - eng

KW - advection equations; particle methods; semi-lagrangian methods; GPU computing; multidimensional transport equation; particle method; remeshing; convergence; stability; semi-Lagrangian methods; numerical examples; algorithm

UR - http://eudml.org/doc/273120

ER -

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