TOPOLOGY DEPENDENCE IN LATTICE SIMULATIONS OF NONLINEAR PDES ON A MIMD COMPUTER

We tested the parallelization of explicit schemes for the solution of non-linear classical field theories of complex scalar fields which are capable of simulating; hadronic collisions. Our attention focused on collisions in a fractional model with a particularly rich inelastic sp ectrum of final states. Relativistic collisions of all types were perf ormed by computer on large lattices (64 to 256 sites per dimension). T he stability and accuracy of the objects were tested by the use of two other methods of solutions: Pseudo-spectral and semi-implicit. Parall elization of the Fortran code on a 64-transputer MIMD Volvox machine r evealed, for certain topologies, communication deadlock and less-than- optimum routing strategies when the number of transputers used was les s than the maximum. The observed speedup, for N transputers in an appr opriate topology, is shown to scale approximately as N, but the overal l gain in execution speed, for physically interesting problems, is a m odest 2-3 when compared to state-of-the-art workstations.