18 citations
3 papers
physics.flu-dyn2025★ 1 cited
Scalar probability density function mixing models need not comply with the linearity and independence hypothesis
Juan Hierro, César Dopazo
In a mixture of scalar fields undergoing diffusive processes governed by Fick's law, the concentration at each point evolves linearly in the concentrations at all points and indepe…
physics.flu-dyn2025★ 18 cited
Fourth-order statistical moments of the velocity gradient tensor in homogeneous, isotropic turbulence
Juan Hierro, César Dopazo
A compact expression of fourth-order statistical moments of the velocity gradient tensor in homogeneous, isotropic, incompressible turbulence is obtained as a function of its invar…
physics.flu-dyn2025★ 4 cited
Boundary conditions for probability density function transport equations in fluid mechanics
Luis Valiño, Juan Hierro
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 bou…