Multiscale modeling of incompressible turbulent flows

Multiscale modeling of incompressible turbulent flows

Developing an effective turbulence model is important for engineering applications as well as for fundamental understanding of the flow physics. We present a mathematical derivation of a closure relating the Reynolds stress to the mean strain rate for incompressible flows. A systematic multiscale analysis expresses the Reynolds stress in terms of the solutions of local periodic cell problems. W...

Variational Multiscale Large Eddy Simulation of Turbulent Incompressible Flows

The variational multiscale (VMS) method was introduced in [4] as a framework for the development of stabilization techniques, which aim to overcome numerical difficulties encountered when using the standard Galerkin method, the finite element (FE) counterpart of centered finite differences (FD), namley, the compatibility condition between the velocity and pressure FE spaces, which require the u...

Variational Multiscale Methods for incompressible flows

The numerical simulation of incompressible flow governed by the Navier-Stokes equations requires to deal with subgrid phenomena. Particularly in turbulent flows, the scale spectra are notably widened and need to be handled adequately to get a reasonable numerical solution. Separating the complete scale range into subranges enables a different treatment of any of these subranges. In the brevity ...

Computational study of incompressible turbulent flows with method of characteristics

Turbulent flows are the most applicable cases that in recent years the researches have been focused on developing of solution methods. Incompressible turbulent flow is one of these cases which need to be taken in account. Solving the incompressible Navier-stokes equation because of elliptical characteristics has been led to some researches in this field recently. The ACM of Chorin [1] as a pre-...

The Variational Multiscale Method for Laminar and Turbulent Incompressible Flow