Solution of Advection Diffusion Equations in Two Space Dimensions by a Rational Eulerian Lagrangian Localized Adjoint Method over Hexagonal Grid
Year: 2012
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 1 : pp. 43–55
Abstract
We present a characteristic method for the solution of the transient advection diffusion equations in two space-dimensions. This method uses Wachspress-type rational basis functions over hexagonal grids within the framework of the Eulerian Lagrangian localized adjoint methods (ELLAM). It therefore maintains the advantages of previous ELLAM schemes and generates accurate numerical solutions even if large time steps are used in the simulation. Numerical experiments are presented to illustrate the performance of this method and to investigate its convergence numerically.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-IJNAM-610
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 1 : pp. 43–55
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Advection-diffusion equations characteristic methods Eulerian-Lagrangian methods rational basis functions.