DIFFUSION LIMIT OF THE SIMPLIFIED LANGEVIN PDF MODEL IN WEAKLY INHOMOGENEOUS TURBULENCE

CEMRACS 2013 - Modelling and simulation of complex systems: stochastic and deterministic approaches

[1]  Stephen B. Pope,et al.  Advances in PDF modeling for inhomogeneous turbulent flows , 1998 .

[2]  T. B. Gatski,et al.  Towards a rational model for the triple velocity correlations of turbulence , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[3]  R. Fox,et al.  Improved Lagrangian mixing models for passive scalars in isotropic turbulence , 2003 .

[4]  Brian Launder,et al.  A Reynolds stress model of turbulence and its application to thin shear flows , 1972, Journal of Fluid Mechanics.

[5]  Stephen B. Pope,et al.  On the relationship between stochastic Lagrangian models of turbulence and second‐moment closures , 1994 .

[6]  John L. Lumley,et al.  Computational Modeling of Turbulent Flows , 1978 .

[7]  S. Osher,et al.  COMPUTATIONAL HIGH-FREQUENCY WAVE PROPAGATION USING THE LEVEL SET METHOD, WITH APPLICATIONS TO THE SEMI-CLASSICAL LIMIT OF SCHRÖDINGER EQUATIONS∗ , 2003 .

[8]  P. Bertrand,et al.  Conservative numerical schemes for the Vlasov equation , 2001 .

[9]  O. Soulard,et al.  Eulerian Monte Carlo method for the joint velocity and mass-fraction probability density function in turbulent reactive gas flows , 2006 .

[10]  S. Pope PDF methods for turbulent reactive flows , 1985 .

[11]  I. Vallet Reynolds-Stress Modeling of Three-Dimensional Secondary Flows With Emphasis on Turbulent Diffusion Closure , 2007 .

[12]  L. Valiño,et al.  A Field Monte Carlo Formulation for Calculating the Probability Density Function of a Single Scalar in a Turbulent Flow , 1998 .

[13]  J. Glimm Solutions in the large for nonlinear hyperbolic systems of equations , 1965 .

[14]  Olivier Soulard,et al.  Rapidly decorrelating velocity-field model as a tool for solving one-point Fokker-Planck equations for probability density functions of turbulent reactive scalars. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.