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Research article Open access

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

Mohammed Al-Lawatia, Robert Sharpley, Hong Wang · Sultan Qaboos University Journal for Science · 2001 · 10.24200/squjs.vol6iss2pp67-83

… 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 …

Research article Open access

Modeling Flow and Transport in Unsaturated Porous Media: A Review

H.H. Al-Barwani, Mohamed Al‐Lawatia, Easwaran Balakrishnan et al. · Sultan Qaboos University Journal for Science · 2000 · 10.24200/squjs.vol5iss0pp265-280

… ity and quantity of water recharging into the groundwater. Classical methods of predicting water flow and contaminant transport processes in unsaturated porous media are generally inadequate when applied to natural soils under field conditions, due to the occurrence of macropores, structured elements and spatial variab …

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