Large-eddy simulation of conductive flows at low magnetic Reynolds number

Using the method of large-eddy simulation, we study decaying homogeneous turbulence of a conductive flow under the influence of an applied external magnetic field at low magnetic Reynolds number. In order to assess the performance of large-eddy simulation, comparison with high resolution (512 3 ) direct numerical simulation is performed. Results show that the modeling of subgrid scales using the dynamic Smagorinsky model is very effective in the present context.

[1]  S. Corrsin,et al.  Simple Eulerian time correlation of full-and narrow-band velocity signals in grid-generated, ‘isotropic’ turbulence , 1971, Journal of Fluid Mechanics.

[2]  O. Agullo,et al.  Large eddy simulation of decaying magnetohydrodynamic turbulence with dynamic subgrid-modeling , 2001 .

[3]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .

[4]  Sabatino Sofia,et al.  A subgrid‐scale resistivity for magnetohydrodynamics , 1994 .

[5]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[6]  Caskey,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS I . THE BASIC EXPERIMENT , 1962 .

[7]  Daniele Carati,et al.  Dynamic gradient-diffusion subgrid models for incompressible magnetohydrodynamic turbulence , 2002 .

[8]  D. Lilly,et al.  A proposed modification of the Germano subgrid‐scale closure method , 1992 .

[9]  G. Vahala,et al.  Aspects of subgrid modelling and large-eddy simulation of magnetohydrodynamic turbulence , 1991, Journal of Plasma Physics.

[10]  Hervé Jeanmart,et al.  On the modelling of the subgrid-scale and filtered-scale stress tensors in large-eddy simulation , 2001, Journal of Fluid Mechanics.

[11]  Yutaka Shimomura,et al.  Large eddy simulation of magnetohydrodynamic turbulent channel flows under a uniform magnetic field , 1991 .

[12]  L. Driel-Gesztelyi.  An Introduction to Magnetohydrodynamics , 2004 .

[13]  R. Rogallo.  Numerical experiments in homogeneous turbulence , 1981 .

[14]  H. K. Moffatt.  On the suppression of turbulence by a uniform magnetic field , 1967, Journal of Fluid Mechanics.

[15]  U. Schumann.  Numerical simulation of the transition from three- to two-dimensional turbulence under a uniform magnetic field , 1976, Journal of Fluid Mechanics.

[16]  A. Yoshizawa.  Subgrid modeling for magnetohydrodynamic turbulent shear flows , 1987 .