Large-Scale Finite Element Fluid Analysis by Massively Parallel Processors

Abstract A finite element fluid analysis code, which is based on the matrix-storage free formulation and the element-by-element computation strategy, is developed. The code has reduced memory requirements due to the matrix-storage free formulation. Simulations involving one million elements can be carried out with less than 208 Mbytes of memory. The code is implemented on the massively parallel computers, KSR1 and CRAY T3D. In the case of KSR1, high parallel efficiency is achieved, i.e. 95.9% with 16 CPUs. In the case of T3D, excellent scalability is achieved. Each time step of a 3D cavity flow problem with one million elements required 36.3, 18.7 and 9.8 s of CPU time by using 32, 64 and 128 processors, respectively.