Sunday August 22, 2010
Problems involving a large number of objects where everything interacts with everything else are found throughout science, from the very small to the very large and a lot in between. This class of problems is called an nbody problem.
Consider a universe in which gravity includes a repulsive force at close distances, such that this equation is true.
How large would alpha need to be in order for the collapse of a 200,000 solar mass cluster initially spread out over 5000 light years to be significantly altered?
Users should implement a standard Nbody code (see this challenge) with the above force law, modified to run in parallel using MPI or nVidia's CUDA. A solution should include graphical and statistical interpretation of simulation results. If we didn't make gravity a bit repulsive, you would have been able to find codes throughout the Net. In fact there is even one on every version of the BCCD (Bootable Cluster CD), which a group of us have created. You can find an ISO of it at http:/bccd.net. This would have pretty much made it a problem of finding such a program on the net and just using it. We wouldn't insult you by making such an easy problem.
You are welcome to obtain code from the web, such as GalaxSee from the BCCD, and modify it using our modified gravitational equation.
How large would alpha need to be in order for the collapse of a 200,000 solar mass cluster initially spread out over 5000 light years to be significantly altered?
Users should implement a standard Nbody code (see this challenge) with the above force law, modified to run in parallel using MPI or nVidia's CUDA. A solution should include graphical and statistical interpretation of simulation results. If we didn't make gravity a bit repulsive, you would have been able to find codes throughout the Net. In fact there is even one on every version of the BCCD (Bootable Cluster CD), which a group of us have created. You can find an ISO of it at http:/bccd.net. This would have pretty much made it a problem of finding such a program on the net and just using it. We wouldn't insult you by making such an easy problem.
You are welcome to obtain code from the web, such as GalaxSee from the BCCD, and modify it using our modified gravitational equation.
Show solution
Challenge Resources:
RGravity_O
—
Screenshot of the original NBody simulation
RGravity_A
—
Screenshot of the NBody simulation with the Alpha factor introduced
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