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Open Access item Boundary conditions for probability density function transport equations in fluid mechanics

Authors:Valiño García, Luis
Hierro, Juan
Issue Date:29-Apr-2003
Publisher:American Physical Society
Citation:Physical Review E 67(4): 046310 (2003)
Abstract:The behavior of the probability density function (PDF) transport equation at the limits of the probability space is studied from the point of view of fluid mechanics. Different boundary conditions are considered depending on the nature of the variable considered (velocity, scalar, and position). A study of the implications of entrance and exit conditions is performed, showing that a new term should be added to the PDF transport equation to preserve normalization in some nonstationary processes. In practice, this term is taken into account naturally in particle methods. Finally, the existence of discontinuities at the limits is also investigated.
Description:PACS: 47.70.Fw, 02.50.Ng, 47.10.+g
Publisher version (URL):http://dx.doi.org/10.1103/PhysRevE.67.046310
Appears in Collections:(LIFTEC) Artículos

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