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A massively parallel computer, which has a large number of processors, is expected to become the main instrument for scientific numerical analysis including CFD field.It has been pointed out that efficiency of parallel computing becomes worse when the number of processors increases and granularity comes to fine. So an acceleration technique should therefore be introduced to achieve nearly maximum performance of massively parallel computers. Some researchers have used the multigrid method, but this technique turned out to be inappropriate for parallel computing of very fine granularity because efficiency rapidly worsens. The purpose of this study is to propose a numerical technique suitable for calculation of incompressible flows on massively parallel computers. In this regard, we choose the extrapolation method as the accelerative technique, which predicts converged solutions from a sequence of intermediate solutions and is expected to retain its accelerative property for fine granularity. Three existing extrapolation methods ROLE, MPE, ROGE and our newly developed LWE are discussed. Furthermore, ROLE and LWE are applied to numerical analysis of Poisson's equation and the results are discussed.

nihon kikai gakkai ronbunshū. b

Numerical Technique with Extrapolation Method Suitable for Calculation of Incompressible Flow on Massively Parallel Computer. 1st Report. Application of Extrapolation Method to Linear Equation.