# Incompressible Fluid Application

(Difference between revisions)
 Revision as of 14:06, 11 December 2009 (view source)Kazem (Talk | contribs) (→Theory)← Older edit Revision as of 14:06, 11 December 2009 (view source)Kazem (Talk | contribs) (→Theory)Newer edit → Line 17: Line 17: \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[ \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[ + [/itex] + $\quad \quad \quad \quad\quad \nabla\cdot\mathbf{u} = 0 \quad \quad \quad \quad\quad \nabla\cdot\mathbf{u} = 0 −$ [/itex] + This application solve the the equations.... This application solve the the equations....

## General Description

### 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.

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

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.