×

Oscillations due to the transport of microstructures. (English) Zbl 0656.76054

The aim of this paper is to report some improvements and some numerical tests of a model for convection of microstructures developed by D. W. McLaughlin, G. S. Papanicolaou and O. R. Pironneau [ibid. 45, 780–797 (1985; Zbl 0622.76062)]. This model was obtained by homogenization techniques. In particular, this paper gives a computational indication of the existence of oscillations in a macroscopic flow which evolves from an initial state with two well- separated length scales. This oscillatory behavior was formally predicted by McLaughlin et al.
A simplified model including eddy viscosity terms is first obtained: This model is tested for a three-dimensional Poiseuille flow in which the mean flow is one-dimensional.
Direct simulations and the simulations of the model are connected and good agreement is obtained in the behaviour of both the mean velocity field and the kinetic energy of the microstructure.

MSC:

76F05 Isotropic turbulence; homogeneous turbulence

Citations:

Zbl 0622.76062
PDFBibTeX XMLCite
Full Text: DOI Link