The complete flux scheme�Error analysis and application to plasma simulation

• Autores: L. Liu, J. van Dijk, J.H.M. ten Thije Boonkkamp, D.B. Mihailova, J.J.A.M. van der Mullen
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 250, Nº 1, 2013, págs. 229-243
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.03.011
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• Resumen

  • The complete flux scheme (CFS) [J. ten Thije Boonkkamp, M. Anthonissen, The finite volume-complete flux scheme for advection�diffusion�reaction equations, J. Sci. Comput.

    46 (1) (2011) 47�70. http://dx.doi.org/10.1007/s10915-010-9388-8] is an extension of the widely used exponential difference scheme for advection�diffusion�reaction equations. In this 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 difference 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 test problem and a physical model of a parallelplate glow discharge. The results indicate that the usage of the 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.