Homogenization of a Reynolds equation describing compressible flow

On the justification of the Reynolds equation, describing isentropic compressible flows through a tiny pore

We consider the isentropic compressible flow through a tiny pore. Our approach is to adapt the recent results by N. Masmoudi on the homogenization of compressible flows through porous media to our situation. The major difference is in the a priori estimates for the pressure field. We derive the appropriate ones and then the Masmoudi’s results allow to conclude the convergence. In this way the c...

Efficient solution of the non-linear Reynolds equation for compressible fluid using the finite element method

An efficient finite element scheme for solving the non-linear Reynolds equation for compressible fluid coupled to compliant structures is presented. The method is general and fast and can be used in the analysis of airfoil bearings with simplified or complex foil structure models. To illustrate the computational performance, it is applied to the analysis of a compliant foil bearing modelled usi...

Homogenization of an equation describing linear thin plates excited by piezopatches

In this paper we consider the problem of homogenization of equations describing linear thin plates excited by actuators made of piezoelectric ceramics (see e.g. 1]). It is assumed that the number of actuators goes to innnity whereas their dimension tends to zero. The procedure of homogenization is based on the theory of two-scale convergence studied in 2]. The speciic of the problem considered ...

Homogenization Closure For A Two-Dimensional Effective Model Describing Fluid-Structure Interaction in Blood Flow

Evaluation of Reynolds Stress Turbulence Closures in Compressible Homogeneous Shear Flow

Direct numerical simulation data bases for compressible homogeneous shear ow are used to evaluate the performance of recently proposed Reynolds stress closures for compressible turbulence. Three independent pressure-strain models are considered along with a variety of explicit compressible corrections that account for dilatational dissipation and pressure-dilatation e ects. The ability of the m...