Improved mathematical and numerical modelling of dispersion of a solute from a continuous source
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Niall Madden and Kajal Kumar Mondal (2011) 'Improved mathematical and numerical modelling of dispersion of a solute from a continuous source'. Lecture Notes In Computational Science And Engineering, 81 :177-185.
We present a refinement of a model due to Mondal and Mazumder  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, and 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, and are compared with experimental data.