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A combined N--body/SPH code is presented which benefits from the high speedof the special purpose hardware GRAPE (GRAvity PipE). Besides gravitationalforces, GRAPE also returns the list of neighbours and can, therefore, be usedto speed up the hydrodynamical part, too. After the interaction list has beenpassed, density, pressure forces, propagation and interpolation of particlesetc. are calculated on the front end, a 50 MHz SUN SPARC 10. In order tocombine SPH and GRAPE, possible limitations due to the hardware design of GRAPEare carefully analyzed and modifications compared to current SPH codes arediscussed. The resulting code, GRAPESPH, is similarly flexible as TREESPH. Itseems especially well suited to investigate the formation of individual objectsin a large scale structure environment, like eg. galaxies or clusters. Thetotal performance is at least half as good as treesph on a CRAY and for mostapplications it seems to be even better. The CPU time per time step is onlyslightly dependent on the clustering state. GRAPESPH, therefore, provides avery attractive alternative to the use of supercomputers in cosmology.Comment: 23 pages, uuencoded postscript file, 2 figures include

Grapesph: cosmological smoothed particle hydrodynamics simulations with the special-purpose hardware GRAPE