WINE-1: Special-Purpose Computer forN-Body Simulations with a Periodic Boundary Condition

Astronomy and Astrophysics – Astronomy

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Cosmology, Galaxies: Evolution, Galaxies: Formation, Numerical Methods, Special Purpose Computer

Scientific paper

We have developed WINE-1 (Wave space INtegrator for Ewald method), a special-purpose computer for N-body simulations with a periodic boundary condition. In N-body simulations with a periodic boundary condition such as cosmological N-body simulations, we use the Ewald method to calculate the gravitational interaction. With the Ewald method, we can calculate the interaction more accurately than a calculation with other methods, such as the PM method, the P(3) M method, or the tree algorithm. In the Ewald method, the total force exerted on a particle is divided into contributions from real space and wave-number space so that the infinite sum can converge exponentially in both spaces. WINE is a special-purpose computer used to calculate the interaction in wave-number space. WINE is connected to a host computer via the VME bus. We have developed the first machine, WINE-1. It is made of one board having a size of 38 cm by 40 cm, on which 31 LSI chips and 46 IC chips are wire-wrapped. The peak speed of WINE-1 is equivalent to 480 Mflops. The summation in real space is calculated using a GRAPE system, another special-purpose computer for the direct calculation of the interparticle force. For example, we can perform a cosmological N-body simulation for N=80,000 (500 steps) within a week if we use GRAPE-2A for the summation in real space and WINE-1 for that in wave-number space.

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