I'm asking on behalf of a friend working in numerical astrophysics.
Basically what he's doing is simulating a cloud of gas. There are a finite number of cells and the timestep is defined such that gas cannot cross more than one cell each step. Each cell has properties like density and temperature. Each timestep, these (and position) need to be calculated. It's mainly position that's the issue I believe as that is affected primarily by the interactions of gravity among the cells, all of which affect each other.
At the moment he's running this on a cluster of ~150 nodes but I wondered, if it's parallelizable like this, could it be run faster on a few GPUs with CUDA? At the moment it takes him a couple of days to finish a simulation. As GPUs generally have ~500 cores, it seemed like they could provide a boost.
Maybe I'm totally wrong.
Yes this sounds like a decent application for a GPU. GPU processing is most effective when it's running the same function on a large data set. If you've already got it running in parallel on a cluster computer, I'd say write it and test it on a single graphics card, and see if that's an improvement on a single cluster, then scale accordingly.