On the method for estimating the mean property experienced by a tracer pioneered by Gross et al. (2019)
(2021) , 30 pages
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- Abstract
- Elaborating on equations introduced by Gross et al. (Water, 2019, 11, 2207), a method for estimating the mean property experienced by a passive or reactive tracer is developed in the Eulerian framework by seeking inspiration in the age theory that is part of CART (www.climate.be/cart). The relevant age concentration distribution function is defined, the zero-th and first order moments of which lead to the sought-after diagnosis. All of the relevant variables are the solution of partial differential problems involving reactive transport equations. A simple method for numerically solving the distribution function equation is outlined. The concept of partial property exposure is introduced. The link between age and property exposure related variables is highlighted. Then, three test cases are tackled, leading to results in accordance with elementary physical intuition, contributing to lend credence to the novel diagnostic approach. Generic boundary conditions are introduced (Appendix A). Relevant inequalities are thoroughly derived in the context of a general study of a region of freshwater influence (ROFI) (Appendix B). Time is now ripe to assess the potential of the novel method for diagnosing numerically-simulated realistic (reactive) transport processes taking place in geophysical and environmental flows.
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Citations
Deleersnijder, E. (2021). On the method for estimating the mean property experienced by a tracer pioneered by Gross et al. (2019). https://hdl.handle.net/2078.5/110612