On the rate of convergence of the Hamiltonian particle-mesh method.

B.W.I. Peeters; Marcel Oliver; Onno Bokhove; Vladimir Molchanov

doi:10.1007/978-3-642-32979-1_2

On the rate of convergence of the Hamiltonian particle-mesh method.

B.W.I. Peeters, Marcel Oliver, Onno Bokhove, Vladimir Molchanov

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

202 Downloads (Pure)

Abstract

The Hamiltonian Particle-Mesh (HPM) method is a particle-in-cell method for compressible fluid flow with Hamiltonian structure. We present a numer- ical short-time study of the rate of convergence of HPM in terms of its three main governing parameters. We find that the rate of convergence is much better than the best available theoretical estimates. Our results indicate that HPM performs best when the number of particles is on the order of the number of grid cells, the HPM global smoothing kernel has fast decay in Fourier space, and the HPM local interpolation kernel is a cubic spline.

Original language	Undefined
Title of host publication	Meshfree Methods for Partial Differential Equations VI
Editors	M. Griebel, M.A. Schweitzer
Place of Publication	Berlin
Publisher	Springer
Pages	25-43
Number of pages	19
ISBN (Print)	978-3-642-32978-4
DOIs	https://doi.org/10.1007/978-3-642-32979-1_2
Publication status	Published - 2013

Publication series

Name	Lecture Notes in Computational Science and Engineering
Publisher	Springer Verlag
Number	89
Volume	89
ISSN (Print)	1439-7358

Keywords

EWI-23121
Rate of convergence
METIS-296326
Hamiltonian particle-mesh method
IR-84333
Numerical tests

Access to Document

10.1007/978-3-642-32979-1_2

Bokhove13on

http://eprints.eemcs.utwente.nl/secure2/23121/01/on_the_rate_of_conergence_of_the_hamiltionian_particle-mesh_method_iwmm11-BMOP.pdf

Cite this

Peeters, B. W. I., Oliver, M., Bokhove, O., & Molchanov, V. (2013). On the rate of convergence of the Hamiltonian particle-mesh method. In M. Griebel, & M. A. Schweitzer (Eds.), Meshfree Methods for Partial Differential Equations VI (pp. 25-43). (Lecture Notes in Computational Science and Engineering; Vol. 89, No. 89). Springer. https://doi.org/10.1007/978-3-642-32979-1_2

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abstract = "The Hamiltonian Particle-Mesh (HPM) method is a particle-in-cell method for compressible fluid flow with Hamiltonian structure. We present a numer- ical short-time study of the rate of convergence of HPM in terms of its three main governing parameters. We find that the rate of convergence is much better than the best available theoretical estimates. Our results indicate that HPM performs best when the number of particles is on the order of the number of grid cells, the HPM global smoothing kernel has fast decay in Fourier space, and the HPM local interpolation kernel is a cubic spline.",

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On the rate of convergence of the Hamiltonian particle-mesh method. / Peeters, B.W.I.; Oliver, Marcel; Bokhove, Onno et al.
Meshfree Methods for Partial Differential Equations VI. ed. / M. Griebel; M.A. Schweitzer. Berlin: Springer, 2013. p. 25-43 (Lecture Notes in Computational Science and Engineering; Vol. 89, No. 89).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

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