Consistency issues in pdf methods
Suciu N, Schüler L, Radu AF, Attinger S, Vamo̧s C, Knabner P (2015)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2015
Journal
Book Volume: 23
Pages Range: 187-208
Journal Issue: 3
Abstract
Concentrations of chemical species transported in random environments need to be statistically characterized by probability density functions (PDF). Solutions to evolution equations for the one-point one-time PDF are usually based on systems of computational particles describee by Ito equations. We establish consistency conditions relating the concentration statistics to that of the Ito process and the solution of its associated Fokker-Planck equation to that of the PDF equation. In this frame, we use a recently proposed numerical method which approximates PDFs by particle densities obtained with a global random walk (GRW) algorithm. The GRW-PDF approach is illustrated for a problem of contaminant transport in groundwater.
Authors with CRIS profile
Nicolae Suciu
Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)
Peter Knabner
Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)
Involved external institutions
Friedrich-Schiller-Universität Jena
Germany (DE)
University of Bergen / Universitetet i Bergen
Norway (NO)
Germany (DE)
University of Bergen / Universitetet i Bergen
Norway (NO)
How to cite
APA:
Suciu, N., Schüler, L., Radu, A.F., Attinger, S., Vamo̧s, C., & Knabner, P. (2015). Consistency issues in pdf methods. Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica, 23(3), 187-208. https://doi.org/10.1515/auom-2015-0055
MLA:
Suciu, Nicolae, et al. "Consistency issues in pdf methods." Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica 23.3 (2015): 187-208.
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