NBSymple, a double parallel, symplectic N-body code running on graphic processing units

We present and discuss the characteristics and performance, both in term of computational speed and precision, of a numerical code which integrates the equation of motions of N 'particles' interacting via Newtonian gravitation and move in an external galactic smooth field. The force evaluation on every particle is done by mean of direct summation of the contribution of all the other system's particles, avoiding truncation error. The time integration is done with second-order and sixth-order symplectic schemes. The code, NBSymple, has been parallelized twice, by mean of the Compute Unified Device Architecture (CUDA) to make the all-pair force evaluation as fast as possible on high-performance Graphic Processing Units NVIDIA TESLA C1060, while the O(N) computations are distributed on various CPUs by mean of OpenMP Application Program. The code works both in single-precision floating point arithmetics or in double precision. The use of single-precision allows the use of the GPU performance at best but, of course, limits the precision of simulation in some critical situations. We find a good compromise in using a software reconstruction of double-precision for those variables that are most critical for the overall precision of the code. The code is available on the web site astrowww.phys.uniroma1.it/dolcetta/nbsymple.html. © 2010 Elsevier B.V. All rights reserved