Details zur Publikation

Kategorie Textpublikation
Referenztyp Zeitschriften
DOI 10.1515/auom-2015-0055
Titel (primär) Consistency issues in PDF methods
Autor Suciu, N.; Schüler, L.; Attinger, S.; Vamoş, C.; Knabner, P.
Quelle Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica
Erscheinungsjahr 2015
Department CHS
Band/Volume 23
Heft 3
Seite von 187
Seite bis 208
Sprache englisch
Keywords PDF methods; mixing; random walk; porous media
UFZ Querschnittsthemen RU5;
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 described 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.
dauerhafte UFZ-Verlinkung https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=16931
Suciu, N., Schüler, L., Attinger, S., Vamoş, C., Knabner, P. (2015):
Consistency issues in PDF methods
Analele Stiint. Univ. Ovidius C. Mat. 23 (3), 187 - 208 10.1515/auom-2015-0055