Hassan,
I want to solve a series of conservation law using smooth particles
hydrodynamics (SPH). I am looking for a parallel solution. could you please
help me to setup my code correctly.
1- The number of unknowns is 11 (linear momentum 3 components and deformation
gradient 9 components). In addition to that I have to save stress tensor,
smoothing length, pressure and some other state variables at each particles.
So the number of variable that I want to store is huge. Should I store them as
'property' at each particle?
Yes. We have certainly done simulations with many more particle properties.
2- I want to have a particle at each vertex on the triangulation. How to
create them?
Take a look at some of the particle tutorials that show how to create
particles at vertex locations.
3- How to create and apply constraints?
You'll have to be more specific. Constraints on what?
4- Finally, (the most important question), in a solution using the SPH
method computation is done on each particle (Target particle) according to
data belong to the particles are around the target particle (Neighbor
particles) . How to access to the data that belong to the neighbor particle.
For simplicity at this moment we can consider that the neighbor particles are
just the particles connected to the target particle on the adjacent cell (one
layer).
You'll have to have data structures that allow you to identify which particles
are close to which others. The usual one is an rtree, for which deal.II has
wrappers.
The only deal.II-based code I know of that does these sorts of things is Bruno
Blais' 'lethe' code. You should take a look at how this is done inside lethe.
Best
W.
--
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Wolfgang Bangerth email: [email protected]
www: http://www.math.colostate.edu/~bangerth/
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