Incompressible Fluid Application
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\rho\mbox{}\partial_{t}\mathbf{u}-\mu\mbox{}\Delta\mathbf{u} + \rho\mbox{}\mathbf{u}\cdot\nabla\mathbf{u}+\nabla p = \mathbf{f} \qquad \text{in} \Omega,\qquad t\in ]0,T[ | \rho\mbox{}\partial_{t}\mathbf{u}-\mu\mbox{}\Delta\mathbf{u} + \rho\mbox{}\mathbf{u}\cdot\nabla\mathbf{u}+\nabla p = \mathbf{f} \qquad \text{in} \Omega,\qquad t\in ]0,T[ | ||
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Revision as of 14:01, 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.
Failed to parse (lexing error): \rho\mbox{}\partial_{t}\mathbf{u}-\mu\mbox{}\Delta\mathbf{u} + \rho\mbox{}\mathbf{u}\cdot\nabla\mathbf{u}+\nabla p = \mathbf{f} \qquad \text{in} \Omega,\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.
