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Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/47295
Title: 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
URI: http://hdl.handle.net/10261/47295
ISSN: 1063-651X
DOI: 10.1103/PhysRevE.67.046310
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