Direct Simulation of Dense Stellar Systems with GRAPE-6

In this paper we describe the current status of the GRAPE-6 project to develop a special-purpose computer with a peak speed exceeding 100 Tflops for the simulation of astrophysical N-body problems. One of the main targets of the GRAPE-6 project is the simulation of dense stellar systems. In this paper, therefore, we overview the basic algorithms we use for the simulation of dense stellar systems and their characteristics. We then describe how we designed GRAPE hardwares to meet the requirements of these algorithms. GRAPE-6 will be completed by the year 2001. As an example of what science can be done on GRAPE-6, we describe our work on the galactic center with massive black holes performed on GRAPE-4, the predecessor of GRAPE-6.