Incompressible Fluid Application

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General Description

Cylinder vel.jpg

ADVERTISMENT STYLE no numerical details!!!


The aim of this application is to solve the well known set of Navier-Stokes equations. The problem suffers from severe locking and/or instability using linear FEM.

\partial_{t}\mathbf{u}-\nu\Delta\mathbf{u} + \mathbf{u}\cdot\nabla\mathbf{u}+\nabla p = \mathbf{f}  \quad  \text{in}  \quad \Omega,   ]0,T[

\quad \quad \quad \quad \quad \nabla\cdot\mathbf{u} = 0 \quad  \text{in}  \quad \Omega,   ]0,T[

\mathbf{u} = \mathbf{u_{0}} \quad  \text{in}  \quad \Omega,  t=0

\mathbf{u} = \mathbf{0} \qquad \text{in} \Gamma, t\in ]0,T[

Different approaches could be chosen to solve this problem. Fractional step, Subgrid scale stabilization, GLS are among the others.

Some references to these methods are:

Stabilized finite element approximation of transient incompressible flows using orthogonal subscales Ramon Codina Computer Methods in Applied Mechanics and Engineering Vol. 191 (2002), 4295-4321

This application solve the the equations.... Mathematical approach to the problems.

Nothing numerical

Insert here all the references to your papers...

Numerical approach

All numerical details here.

This is a part quite open, depending on the application we are considering.

Every physical problem is solved defining many different ingredients. Try to be quite schematic.


Using the Application


Programming Documentation

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