Incompressible Fluid Application

(Difference between revisions)
 Revision as of 14:11, 11 December 2009 (view source)Kazem (Talk | contribs) (→Theory)← Older edit Revision as of 14:12, 11 December 2009 (view source)Kazem (Talk | contribs) (→Theory)Newer edit → Line 27: Line 27: [/itex] [/itex] + $+ \mathbf{u} = \mathbf{0} \qquad \text{in} \Gamma,\qquad t\in ]0,T[ +$ This application solve the the equations.... This application solve the the equations.... Mathematical approach to the problems. Mathematical approach to the problems.

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.

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

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

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

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