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Mathematical Model of Virus Transport

Published by the American Society of Agricultural and Biological Engineers, St. Joseph, Michigan www.asabe.org

Citation:  Paper number  022265,  2002 ASAE Annual Meeting . (doi: 10.13031/2013.10443) @2002
Authors:   Rojano A. A., Vidales J., Salazar M.R.
Keywords:   Fluid mechanics, transport, linear transformation, logarithms

Virus transport is phenomena strongly related to fluid flow. Eulerian and Lagrangian viewpoints are commonly found in order to understand the transport of virus distribution. Transport implies to deal with concentration as primary variable in which the conservative principles are applied. Intensive research has been dedicated to describe the wave propagation numerically, however undesirable effects like dissipation and instability are frequently addressed. This paper proposes a procedure in which the pulse distribution by itself could be the nearest basis function in Eulerian viewpoint. Even more the relation between two pulses distribution is constructed by means of novelty transformation. This transformation in time takes as a domain one pulse and as a range the other one. This transformation allows by itself the continuous generation of new pulses at any other time requested, however, it remains to include in a framework satisfying mass conservation and Fickian behavior.

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