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Article overview
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Building a Bridge from Moments to PDF's: A New Approach to Finding PDF Mixing Models | Lennart Schüler
; Nicolae Suciu
; Peter Knabner
; Sabine Attinger
; | Date: |
3 Feb 2016 | Abstract: | 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. | Source: | arXiv, 1602.1353 | Services: | Forum | Review | PDF | Favorites |
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