Publication Details

Category Text Publication
Reference Category Journals
DOI 10.1515/auom-2015-0055
Title (Primary) Consistency issues in PDF methods
Author Suciu, N.; Schüler, L.; Attinger, S.; Vamoş, C.; Knabner, P.
Journal Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica
Year 2015
Department CHS
Volume 23
Issue 3
Page From 187
Page To 208
Language englisch
Keywords PDF methods; mixing; random walk; porous media
UFZ wide themes 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.
Persistent UFZ Identifier
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