Consistency issues in PDF methods

Autor: Suciu N., Schüler L., Attinger S., Vamoș C., Knabner P.
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 23, Iss 3, Pp 187-208 (2015)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.1515/auom-2015-0055
Popis: 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 described by Itô equations. We establish consistency conditions relating the concentration statistics to that of the Itô 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.
Databáze: Directory of Open Access Journals