Particle-Mesh Methods on the Connection Machine

Details Particle-Mesh Methods on the Connection Machine Particle-Mesh Methods on the Connection Machine

1993-11-02

arxiv.org/abs/comp-gas/9310002v1

Int. J. Mod. Phys. C 5 (1994) 933

Astronomy and Astrophysics

Astrophysics

22 pages, uuencoded compressed tarred postscript, 224 kB, available by anonymous ftp to arcturus.mit.edu as Preprints/pm.ps.Z

Scientific paper

10.1142/S0129183194001069

We describe an efficient Particle-Mesh algorithm for the Connection Machine CM-5. Our particular method parallelizes well and the computation time per time step decreases as the particles become more clustered. We achieve floating-point computation rates of 4--5 MFlops/sec/processing node and total operations (the sum of floating-point and integer arithmetic plus communications) of 5--10 MOps/sec/processing node. The rates scale almost linearly from 32 to 256 processors. Although some of what we discuss is specific to the CM-5, many aspects (e.g., the computation of the force on a mesh) are generic to all implementations, and other aspects (e.g., the algorithm for assignment of the density to the mesh) are useful on any parallel computer.

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