# Incompressible Fluid Application

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

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

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

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+ | Some references to these methods are: | ||

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+ | ''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'' | ||

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

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Insert here all the references to your papers... | Insert here all the references to your papers... | ||

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=== Numerical approach === | === Numerical approach === |

## Revision as of 14:20, 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.

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.