Madden and Mondol - "Improved mathematical and numerical modelling of dispersion of a solute from a continuous source"

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Improved mathematical and numerical modelling of dispersion of a solute from a continuous source

Niall Madden, and Kajal Kumar Mondol,

Abstract

We present a refinement of a model due to Mondal and Mazumder~(2008) for dispersion of fine particles in an oscillatory turbulent flow. The model is based on the time-dependent advection-diffusion equation posed on a semi-infinite strip, whose solution represents the concentration of particles over time and down-stream distances.
The problem is solved by first mapping to a finite domain and then, using a monotone finite difference method on a tensor product, piecewise uniform mesh. The numerical results obtained for the related steady-state problem are compared with experimental data.

Published as: N. Madden and K.K. Mondol, Improved mathematical and numerical modelling of dispersion of a solute from a continuous source, In C. Carmelo, J. L. Gracia, and F. J. Lisbona, (eds), BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods, Vol 81 of Lect. Notes Comput. Sci. Eng., 177--185. Springer, 2011.

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