The Complete Flux Scheme : error analysis and application to plasma simulation

L. Liu, J. Dijk, van, J.H.M. Thije Boonkkamp, ten, D.B. Mihailova, J.J.A.M. Mullen, van der

Onderzoeksoutput: Boek/rapportRapportAcademic

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The Complete Flux scheme (CFS) (J.H.M. ten Thije Boonkkamp et al., J. Sci. Comput. 46 (2011) 47–70) is an extension of the widely used exponential di¿erence scheme for advection-di¿usion-reaction equations. In the present paper we provide a rigorous proof that the convergence order of this scheme is 2 for all grid Péclet numbers, whereas that of the exponential scheme reduces to 1 for high grid Péclet numbers in the presence of source terms. The performance of both schemes is compared in two case studies: a model system and a real-world model of a parallel-plate glow discharge. The results indicate that the usage of CFS allows a considerable reduction of the number of grid points that is required to obtain the same accuracy. The MATLAB/Octave source code that has been used in these studies has been made available.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijTechnische Universiteit Eindhoven
Aantal pagina's22
StatusGepubliceerd - 2012

Publicatie series

NaamCASA-report
Volume1227
ISSN van geprinte versie0926-4507

Vingerafdruk

Plasma simulation
Error analysis
Fluxes
Advection
Glow discharges
MATLAB

Citeer dit

Liu, L., Dijk, van, J., Thije Boonkkamp, ten, J. H. M., Mihailova, D. B., & Mullen, van der, J. J. A. M. (2012). The Complete Flux Scheme : error analysis and application to plasma simulation. (CASA-report; Vol. 1227). Eindhoven: Technische Universiteit Eindhoven.
Liu, L. ; Dijk, van, J. ; Thije Boonkkamp, ten, J.H.M. ; Mihailova, D.B. ; Mullen, van der, J.J.A.M. / The Complete Flux Scheme : error analysis and application to plasma simulation. Eindhoven : Technische Universiteit Eindhoven, 2012. 22 blz. (CASA-report).
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abstract = "The Complete Flux scheme (CFS) (J.H.M. ten Thije Boonkkamp et al., J. Sci. Comput. 46 (2011) 47–70) is an extension of the widely used exponential di¿erence scheme for advection-di¿usion-reaction equations. In the present paper we provide a rigorous proof that the convergence order of this scheme is 2 for all grid P{\'e}clet numbers, whereas that of the exponential scheme reduces to 1 for high grid P{\'e}clet numbers in the presence of source terms. The performance of both schemes is compared in two case studies: a model system and a real-world model of a parallel-plate glow discharge. The results indicate that the usage of CFS allows a considerable reduction of the number of grid points that is required to obtain the same accuracy. The MATLAB/Octave source code that has been used in these studies has been made available.",
author = "L. Liu and {Dijk, van}, J. and {Thije Boonkkamp, ten}, J.H.M. and D.B. Mihailova and {Mullen, van der}, J.J.A.M.",
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Liu, L, Dijk, van, J, Thije Boonkkamp, ten, JHM, Mihailova, DB & Mullen, van der, JJAM 2012, The Complete Flux Scheme : error analysis and application to plasma simulation. CASA-report, vol. 1227, Technische Universiteit Eindhoven, Eindhoven.

The Complete Flux Scheme : error analysis and application to plasma simulation. / Liu, L.; Dijk, van, J.; Thije Boonkkamp, ten, J.H.M.; Mihailova, D.B.; Mullen, van der, J.J.A.M.

Eindhoven : Technische Universiteit Eindhoven, 2012. 22 blz. (CASA-report; Vol. 1227).

Onderzoeksoutput: Boek/rapportRapportAcademic

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Liu L, Dijk, van J, Thije Boonkkamp, ten JHM, Mihailova DB, Mullen, van der JJAM. The Complete Flux Scheme : error analysis and application to plasma simulation. Eindhoven: Technische Universiteit Eindhoven, 2012. 22 blz. (CASA-report).