On Mar 23, 2013, at 1:43 PM, David Knezevic <dkneze...@seas.harvard.edu> wrote:

> Regarding (2): Are you thinking of adding a libMesh example that implements 
> transport of a signed distance function using DG? Or are you thinking about 
> adding core functionality related to this, e.g. a new System subclass for 
> handling this? (IIRC it's not just standard advection problem in this 
> context, since you need to renormalize after every time-step to ensure it 
> remains a distance function

more along the lines of the core functionality.  a system, provided along with 
the library, that discretizes a scalar advection equation for a level-set 
function & implements the renormalization.  You are right, advection will move 
the interface properly but rescaling is then required I think to properly 
update the distance.

As it is a hyperbolic advection equation DG seems like a natural choice, but 
SUPG could also be used…

But I was thinking since the level-set scheme is central to a lot of interface 
tracking stuff (not just X-FEM) direct library support might be worthwhile.  
Especially since the renormalization is not trivial for a parallel mesh!

-Ben



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