On accuracy and performance of high-order finite volume methods in local mean energy model of non-thermal plasmas
On accuracy and performance of high-order finite volume methods in local mean energy model of non-thermal plasmas
In this paper, a high-order finite volume method is employed to solve the local energy
approximation model equations for a radio-frequency plasma discharge in a one-dimensional
geometry. The so called deferred correction technique, along with high-order
Lagrange polynomials, is used to calculate the convection and diffusion fluxes. Temporal
discretization is performed using backward difference schemes of first and second orders.
Extensive numerical experiments are carried out to evaluate the order and level of accuracy
as well as computational efficiency of the various methods implemented in the work.
These tests exhibit global convergence rate of up to fourth order for the spatial error, and of
up to second order for the temporal error.
high-order simulations, finite volume method, non-equilibrium plasma, plasma discharge model
2468-2479
Davoudabadi, M.
36df6fa3-5cfb-48aa-9312-c538ad727396
Shrimpton, J.S.
9cf82d2e-2f00-4ddf-bd19-9aff443784af
Mashayek, F.
67e1f75e-46b2-4662-bf5e-3ad47858f43e
20 April 2009
Davoudabadi, M.
36df6fa3-5cfb-48aa-9312-c538ad727396
Shrimpton, J.S.
9cf82d2e-2f00-4ddf-bd19-9aff443784af
Mashayek, F.
67e1f75e-46b2-4662-bf5e-3ad47858f43e
Davoudabadi, M., Shrimpton, J.S. and Mashayek, F.
(2009)
On accuracy and performance of high-order finite volume methods in local mean energy model of non-thermal plasmas.
Journal of Computational Physics, 228 (7), .
(doi:10.1016/j.jcp.2008.12.015).
Abstract
In this paper, a high-order finite volume method is employed to solve the local energy
approximation model equations for a radio-frequency plasma discharge in a one-dimensional
geometry. The so called deferred correction technique, along with high-order
Lagrange polynomials, is used to calculate the convection and diffusion fluxes. Temporal
discretization is performed using backward difference schemes of first and second orders.
Extensive numerical experiments are carried out to evaluate the order and level of accuracy
as well as computational efficiency of the various methods implemented in the work.
These tests exhibit global convergence rate of up to fourth order for the spatial error, and of
up to second order for the temporal error.
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Published date: 20 April 2009
Keywords:
high-order simulations, finite volume method, non-equilibrium plasma, plasma discharge model
Identifiers
Local EPrints ID: 145675
URI: http://eprints.soton.ac.uk/id/eprint/145675
ISSN: 0021-9991
PURE UUID: a1bb6b07-a417-4f70-90d3-f09b9c51eadd
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Date deposited: 19 Apr 2010 13:13
Last modified: 14 Mar 2024 00:51
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Author:
M. Davoudabadi
Author:
F. Mashayek
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