2016/02/03 by Lennart Schüler, Nicolae Suciu, Schüler, Lennart +5
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Combustion and flame dynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Meteorological Phenomena and Simulations #Scientific Research and Discoveries
paper · pdf · doi:10.48550/arxiv.1602.01353
openalex publication_date 2016/02/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Probability density function (PDF) methods are a promising alternative to predicting the transport of solutes in groundwater under uncertainty. They make it possible to derive the evolution equations of the mean concentration and the concentration variance, used in moment methods. A mixing model, also known as a dissipation model, is essential for both methods. Finding a satisfactory mixing model is still an open question and due to the rather elaborate PDF methods, a difficult undertaking. Both the PDF equation and the concentration variance equation depend on the same mixing model. This connection is used to find and test an improved mixing model for the much easier to handle concentration variance. Subsequently, this mixing model is transferred to the PDF equation and tested. The newly proposed mixing model yields significantly improved results for both variance modelling and PDF modelling.