Lagrangian model for the evolution of turbulent magnetic and passive scalar fields

Journal Article · Sat Jan 15 00:00:00 EST 2011 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

DOI:https://doi.org/10.1103/PHYSREVE.83.017302· OSTI ID:21560011

Hater, T; Grauer, R ^[1]; Homann, H ^[1]

---

1. Theoretische Physik I, Ruhr-Universitaet Bochum, Universitaetsstr. 150, D-44780 Bochum (Germany)

In this Brief Report we present an extension of the recent fluid deformation (RFD) closure introduced by Chevillard and Meneveau [L. Chevillard and C. Meneveau, Phys. Rev. Lett. 97, 174501 (2006)] which was developed for modeling the time evolution of Lagrangian fluctuations in incompressible Navier-Stokes turbulence. We apply the RFD closure to study the evolution of magnetic and passive scalar fluctuations. This comparison is especially interesting since the stretching term for the magnetic field and for the gradient of the passive scalar are similar but differ by a sign such that the effect of stretching and compression by the turbulent velocity field is reversed. Probability density functions (PDFs) of magnetic fluctuations and fluctuations of the gradient of the passive scalar obtained from the RFD closure are compared against PDFs obtained from direct numerical simulations.

• OSTI ID: 21560011
• Journal Information: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Vol. 83, Issue 1; Other Information: DOI: 10.1103/PhysRevE.83.017302; (c) 2011 American Institute of Physics; ISSN 1539-3755
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COMPRESSION
COMPUTERIZED SIMULATION
DEFORMATION
FLUCTUATIONS
FLUIDS
LAGRANGIAN FUNCTION
MAGNETIC FIELDS
NAVIER-STOKES EQUATIONS
PROBABILITY DENSITY FUNCTIONS
SCALAR FIELDS
TURBULENCE
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
VARIATIONS