Commit 148df3a1 authored by Santiago Ospina's avatar Santiago Ospina
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[Flux Reconstruction] Add information to cookbook

parent c15f923b
......@@ -111,8 +111,29 @@ From the description above one can infer that one has to distinguish between *wa
Flux reconstruction
-------------------
The flux reconstruction is as projection of the fluxes used in the Discontinuous Galerkin method into a vector field function. Using correct elements, it can ensure that the fluxes in normal direction to the entity are *equivalent* to those computed by the Discontinuous Galerkin method, and most imprtantly, it can also ensure the continuity of them. This procedure makes possible to use the results of DORiE useful compute other problems that rely on the fluxes of the water (i.e. solute transport).
The flux reconstruction is a projection of the fluxes used in the Discontinuous Galerkin method into a vector field function. Using correct elements, this procedure can ensure that fluxes in normal direction to the element are *equivalent* to those computed by the Discontinuous Galerkin method, and most importantly, it can also ensure the continuity of them. Hence, the resulting vector field is useful to compute other problems that rely on the fluxes of the water (i.e. solute transport).
The flux reconstruction technique always use Raviar Thomas finite elements of one degree less than the one set for the Richards model. Flux reconstruction is not available for non-conforming grids (i.e. Cube-adaptive grids).
+---------------------------+---+---+---+
| Richards order | 1 | 2 | 3 |
+============+====+=========+===+===+===+
| | 2D | Simplex | ✓ | ✓ | ✓ |
| | +---------+---+---+---+
| | | Cube | ✓ | ✓ | ✓ |
| Non-adapt. +----+---------+---+---+---+
| | 3D | Simplex | ✓ | ✓ | ✓ |
| | +---------+---+---+---+
| | | Cube | ✓ | ✓ | |
+------------+----+---------+---+---+---+
| | 2D | Simplex | ✓ | ✓ | ✓ |
| | +---------+---+---+---+
| | | Cube | | | |
| Adapt. +----+---------+---+---+---+
| | 3D | Simplex | ✓ | ✓ | ✓ |
| | +---------+---+---+---+
| | | Cube | | | |
+------------+----+---------+---+---+---+
Examples
========
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