A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations

We develop a finite volume characteristic method for the solution of the advection-diffusion equations which model the contaminant transport through porous medium. This method uses a second order Runge-Kutta approximation for the characteristics within the framework of the Eulerian Lagrangian locali...

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Bibliographic Details
Main Authors: Mohammed Al-Lawatia, Robert C. Sharpley, Hong Wang
Format: Article
Language:English
Published: Sultan Qaboos University 2001-12-01
Series:Sultan Qaboos University Journal for Science
Subjects:
Online Access:https://journals.squ.edu.om/index.php/squjs/article/view/269
Description
Summary:We develop a finite volume characteristic method for the solution of the advection-diffusion equations which model the contaminant transport through porous medium. This method uses a second order Runge-Kutta approximation for the characteristics within the framework of the Eulerian Lagrangian localized adjoint methods (ELLAM). The derived scheme conserves mass, symmetrizes the governing equations and generates accurate numerical solutions even if large time steps are used.  Numerical experiments comparing several competitive methods using a standard test example are presented to illustrate the performance of the method.
ISSN:1027-524X
2414-536X