Abstract
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.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol6iss2pp67-83
- Journal
- Sultan Qaboos University Journal for Science, 6(2), 67
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Al-Lawatia, M., Sharpley, R., & Wang, H. (2001). A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations. Sultan Qaboos University Journal for Science, 6(2), 67. https://doi.org/10.24200/squjs.vol6iss2pp67-83
MLA 9
Al-Lawatia, Mohammed, et al. "A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations." Sultan Qaboos University Journal for Science, vol. 6, no. 2, 2001, pp. 67. https://doi.org/10.24200/squjs.vol6iss2pp67-83.
Chicago (author–date)
Al-Lawatia, Mohammed, Robert Sharpley, and Hong Wang. 2001. "A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations." Sultan Qaboos University Journal for Science 6 (2): 67. https://doi.org/10.24200/squjs.vol6iss2pp67-83.
Harvard
Al-Lawatia, M., Sharpley, R. and Wang, H. (2001) 'A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations', Sultan Qaboos University Journal for Science, 6(2), pp. 67. doi:10.24200/squjs.vol6iss2pp67-83.
Vancouver
Al-Lawatia M, Sharpley R, Wang H. A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations. Sultan Qaboos University Journal for Science. 2001;6(2):67. doi:10.24200/squjs.vol6iss2pp67-83
IEEE
M. Al-Lawatia, R. Sharpley, and H. Wang, "A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations," Sultan Qaboos University Journal for Science, vol. 6, no. 2, pp. 67, 2001, doi: 10.24200/squjs.vol6iss2pp67-83.