  We have developed a special-purpose computer for gravitational many-body
simulations, GRAPE-5. GRAPE-5 is the successor of GRAPE-3. Both consist of
eight custom pipeline chips (G5 chip and GRAPE chip). The difference between
GRAPE-5 and GRAPE-3 are: (1) The G5 chip contains two pipelines operating at 80
MHz, while the GRAPE chip had one at 20 MHz. Thus, the calculation speed of the
G5 chip and that of GRAPE-5 board are 8 times faster than that of GRAPE chip
and GRAPE-3 board. (2) The GRAPE-5 board adopted PCI bus as the interface to
the host computer instead of VME of GRAPE-3, resulting in the communication
speed one order of magnitude faster. (3) In addition to the pure 1/r potential,
the G5 chip can calculate forces with arbitrary cutoff functions, so that it
can be applied to Ewald or P^3M methods. (4) The pairwise force calculated on
GRAPE-5 is about 10 times more accurate than that on GRAPE-3. On one GRAPE-5
board, one timestep of 128k-body simulation with direct summation algorithm
takes 14 seconds. With Barnes-Hut tree algorithm (theta = 0.75), one timestep
of 10^6-body simulation can be done in 16 seconds.
