Ellipsis

Background

Lagrangian Integration Point finite element method.

Authors

Authors: LouisMoresi, Hans Muhlhaus, Frederic Dufour, ChrisWijns, Richard Albert

Versions

We plan to merge and distribute all existing versions of Ellipsis under the LGPL on http://www.geoframework.org. At present the Ellipsis3D^? code is available.

• The Louis Moresi version - send an email to LouisMoresi for download instructions.
• Ellipsis3D^? - See http://www.geoframework.org
• Chris Wijns has a 2D version of the code with a porous-media flow solver (mailto:cwijns@segs.uwa.edu.au)

Documentation

New Documentation

Bugs

EllipsisOutstandingBugList for bug sightings and reports of successful bug-hunting expeditions. If you have found a bug which is not documented please report this to LouisMoresi.

What it does

Designed to solve the Stokes convection problem for geodynamics

%MATHMODE{ \nabla \mbox{\boldmath{$\tau$}} -\nabla p = \mbox{\boldmath{$g$}} \rho \alpha ( T - T_0 )}%

For approximately incompressible materials (Boussinesq approximation)

%MATHMODE{ \nabla \cdot \mbox{\boldmath{$u$}} = 0}%

Time dependent terms are handled either as nodal point fields (e.g. Temperature) %MATHMODE{\frac{\partial T}{\partial t} + u \cdot \nabla T = \nabla^2 T + Q}% or by particle tracking (e.g. material properties) %MATHMODE{ x_{\rm property}(t) = x_{\rm property}(t) + \int_0^t \mbox{\boldmath{$u$}}(x,t) dt}%

By introducing a range of constitutive relationships, we have managed to solve a wide range of problems with this method -- examples can be seen on the CSIRO ellipsis web site

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