Concentration Statistics in Heterogeneous Flow Fields

Prezentare - Dr. Marco Denz

Universitatea Politehnica din Catalunia - Grupul de Hidrologie Subterana

25 noiembrie 2010

Spatial and temporal heterogeneity of ambient natural environments play a significant role in large scale transport phenomena.  Uncertainty about spatio-temporal fluctuations in system parameters (e.g., flow velocity) make deterministic predictions of macroscopic

 systems states (e.g., solute concentration) elusive.Distributions of system states generally exhibit highly non-Gaussian behavior, which cannot be captured solely by the corresponding mean and variance. Instead, these features of transport are described by the probability density function (PDF) of a system state, e.g., the PDF of concentration at a certain point in space and time. We study the PDF of the distribution of a passive scalar that disperses in a random velocity field. We derive an explicit map between the velocity distribution and the scalar PDF, and obtain approximate solutions for the PDF of the normalized scalar. These solutions allow for the explicit quantification of the impact of dispersion on the evolution of the passive scalar PDF without recurrence to classical closure approximations in terms of mixing models. 

 
 
septembrie 2017
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Prezentare teza doctorat Pablo Andrés Gamazo Rusnac

Coordonator stiintific: Jesús Carrera, Maarten Saaltink

Universitatea Politehnica din Catalunia

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