# Incompressible Fluid Application

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

</math> | </math> | ||

+ | <math> | ||

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

+ | </math> | ||

This application solve the the equations.... | This application solve the the equations.... |

## Revision as of 14:11, 11 December 2009

## Contents |

## General Description

ADVERTISMENT STYLE no numerical details!!! |

### Theory

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.

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

Nothing numerical

Insert here all the references to your papers...

\qquad \qquad \qquad \qquad\quad \:\:\,\nabla\cdot\mathbf{\rho\mbox{}u} = 0 \qquad \text{in} \Omega,\qquad t\in ]0,T[

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

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

### 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.