A parallel adaptive-grid Navier-Stokes algorithm based on generic prim
itives has been developed. The parallel primitives are general for the
class of explicit finite-volume Navier-Stokes numerical schemes. Furt
hermore, they allowed relatively simple implementation of the algorith
m on two different parallel systems; an eight-processor Cray Y-MP and
the Connection Machine CM-2. A novel data structure for the adaptive g
rid allowed efficient parallel refinement/coarsening of the mesh. Subs
tantial speeds compared to the corresponding sequential algorithm were
realized on both systems.