OGS
[case] IsotropicDiffusion

It defines an isotropic diffusion stabilization, the simplest stabilization method.

The method adds an artificial isotropic balancing dissipation to the diffusion coefficient in order to force the Péclet number to be smaller than 1. The isotropic balancing dissipation is defined as

\[ \mathbf{K}_{\delta} = \frac{1}{2}\alpha ||\mathbf v||h \mathbf I \]

with \(\alpha \in [0,1] \) the tuning parameter, \(h\) the element size (e.g. the maximum edge length of element), and \(\mathbf I\) the identity matrix.

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Used in the following test data files