[Dune] Partitioning and weights in dune-alugrid

[Alexander Kissinger]

Dear Dune,

I am running parallel simulations using dumux together with dune-alugrid 
and Metis (METIS_PartGraphRecursive) for partitioning (only static load 
balancing is required).
I noticed that the shape of the partitions has a strong impact on the 
convergence behavior of my linear solver. Since my problem has 
heterogeneous material parameters and everything works very well for the 
homogeneous case, I thought of passing weights for each element (for 
example permeability distribution) to the partitioning method.
I had a look in dune-alugrid/dune/alugrid/3d/grid.hh and saw the method:
     bool loadBalance ( LBWeights &weights,  CommDataHandleIF< 
DataHandleImpl, Data > &dataHandleIF )
which seems to fit for that purpose.

My questions are:

- Are there any examples I could look at where weights are passed to 
this method?
- Do Metis, ParMetis or the internal load balancing methods support 
these user assigned weights?
- What does the type LBWeights look like, a vector with the size 
numElements?

Thanks!

Best regards
Alex

-- 
Alexander Kissinger
Institut für Wasser- und Umweltsystemmodellierung
Lehrstuhl für Hydromechanik und Hydrosystemmodellierung
Pfaffenwaldring 61
D-70569 Stuttgart

Telefon: +49 (0) 711 685-64729
E-Mail:  alexander.kissinger at iws.uni-stuttgart.de