Product Line Demos

The figures show results from a Diffpack simulator solving an advection problem, utilizing the adapativity toolbox. The same simulator has been used for two different geometries. In both cases, time-dependent adaptivity is utilized by local mesh refinements close to the front of the solution.

The lower right picture shows the grid at a given time step of the calculation.

A classical illustration of the benefits of local mesh refinements is the case of flow around a corner, as depicted here. The different pictures show the different levels of mesh refinement close to the corner, starting with a uniform grid (upper left) and ending with the final grid (lower right).

This figure shows the magnitude of the velocity field, which grows fast towards the corner (it approaches infinity in the continuous case).

Automatic refinement is based on solution error, yielding high grid density around bore wells and faults. Only a few lines of code were necessary to introduce this type of adaptivity into the original fixed grid simulator.

The figures below depict the pressure, velocity and error fields for this 2D problem.

Only the grid nodes of the adaptive mesh are shown together with some iso pressure surfaces.

Here is an illustration of the pressure solution in the full volume.