A finite element fluid analysis code, which is based on the matrix-sto
rage free formulation and the element-by-element computation strategy,
is developed. The code has reduced memory requirements due to the mat
rix-storage free formulation. Simulations involving one million elemen
ts can be carried out with less than 208 Mbytes of memory. The code is
implemented on the massively parallel computers, KSR1 and CRAY T3D. I
n the case of KSR1, high parallel efficiency is achieved, i.e. 95.9% w
ith 16 CPUs. In the case of T3D, excellent scalability is achieved. Ea
ch time step of a 3D cavity flow problem with one million elements req
uired 36.3, 18.7 and 9.8 s of CPU time by using 32, 64 and 128 process
ors, respectively. (C) 1997 Elsevier Science B.V.