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Título : Boundary conditions for probability density function transport equations in fluid mechanics
Autor : Valiño García, Luis, Hierro, Juan
Fecha de publicación : 29-Apr-2003
Editor: American Physical Society
Citación : Physical Review E 67(4): 046310 (2003)
Resumen: 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.
Descripción : PACS: 47.70.Fw, 02.50.Ng, 47.10.+g
Versión del editor: 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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