There is a 1st version of flux corrected transport (FCT) in Elmer in the current trunk version. For the theory see, for example

http://www.mathematik.tu-dortmund.de/pa ... n2011b.pdf

Now this algorithm is intended for advection dominated equations where the standard stabilization methods introduce too much artificial diffusion. FCT is monotonicity conserving. Therefore a prototype problem which FCT solves is case where the field value (say temperature) unphysically goes beyond given initial min/max values. Generally FCT ensures that fluxes never go against the gradient.

To take FCT into use say in Solver section

Code: Select all

```
Linear System FCT = Logical True
```

Code: Select all

```
Timestepping Method = newmark
Newmark Beta = 0.5
Bdf Order = 1
```

Code: Select all

```
FCT Correction Symmetric = Logical False
FCT Correction Skip = Logical False
FCT Correction Save = Logical True
```

-Peter