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physics.flu-dyn2025
Constructing PDFs of spatially dependent fields using finite elements
Paul M. Mannix, David A. Ham, John Craske
A probability density function (PDF) of a spatially dependent field provides a means of calculating moments of the field or, equivalently, the proportion of a spatial domain that i…
physics.flu-dyn2024
Transport and mixing in control volumes through the lens of probability
John Craske, Paul Mannix
A partial differential equation governing the global evolution of the joint probability distribution of an arbitrary number of local flow observations, drawn randomly from a contro…