PDF modeling for inhomogeneous turbulence with exact representation of rapid distortions

DOI10.1063/1.869195zbMath1185.76786OpenAlexW2030801100MaRDI QIDQ5755669

P. R. van Slooten, Stephen B. Pope

Publication date: 15 August 2007

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/99fb1228a8bb85b3be97ab44011076bdad31ccf3

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Turbulence (76F99)

Related Items

Recent Developments in the Statistical Modelling of Turbulent Flows ⋮ A multiblock joint PDF finite-volume hybrid algorithm for the computation of turbulent flows in complex geometries ⋮ Pressure-strain correlation modeling: Towards achieving consistency with rapid distortion theory ⋮ Lagrangian tetrad dynamics and the phenomenology of turbulence ⋮ A hybrid algorithm for the joint PDF equation of turbulent reactive flows ⋮ PDF simulations of a bluff-body stabilized flow ⋮ Advances in PDF modeling for inhomogeneous turbulent flows ⋮ Simple models of turbulent flows ⋮ Intercomponent energy transfer in incompressible homogeneous turbulence: multi-point physics and amenability to one-point closures

Cites Work

• Distortion of homogeneous turbulence by axisymmetric strain and dilatation
• Rapid distortion theory and the ‘problems’ of turbulence
• Modelling the pressure–strain correlation of turbulence: an invariant dynamical systems approach
• On the three-dimensional instability of strained vortices
• A simple nonlinear model for the return to isotropy in turbulence
• The velocity-dissipation probability density function model for turbulent flows
• A generalized Langevin model for turbulent flows
• Spectral approach to non-isotropic turbulence subjected to rotation
• One-point modelling of rapidly deformed homogeneous turbulence
• Application of the velocity-dissipation probability density function model to inhomogeneous turbulent flows
• The effects of rotation on initially anisotropic homogeneous flows
• Progress in the development of a Reynolds-stress turbulence closure
• The return to isotropy of homogeneous turbulence
• Modelling of rapid pressure—strain in Reynolds-stress closures
• A nonlinear return-to-isotropy model with Reynolds number and anisotropy dependency
• On the consistency of Reynolds stress turbulence closures with hydrodynamic stability theory
• On the existence of a Generalized Langevin model representation for second-moment closures
• On the prediction of equilibrium states in homogeneous turbulence
• Realizability of second-moment closure via stochastic analysis
• On the relationship between stochastic Lagrangian models of turbulence and second-moment closures
• A rapid-pressure covariance representation consistent with the Taylor—Proudman theorem materially frame indifferent in the two-dimensional limit
• A Reynolds stress model of turbulence and its application to thin shear flows
• THE EFFECT OF RAPID DISTORTION OF A FLUID IN TURBULENT MOTION
• On velocity correlations and the solutions of the equations of turbulent fluctuation