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Stationary Incompressible Viscous Flow Analysis by a Domain Decomposition Method

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概要 Requirements to compute stationary flow patterns are often encountered. With progress of computer environments and increasing demand of precise analyses, the number of degrees of freedom (DOF) of such... a computation has become larger. However, as far as we know, computational codes are rare, which are efficient for large scale, stationary, and nonlinear flow problems. Therefore, we have developed ADVENTURE sFlow [3], which is one of modules included in the ADVENTURE project [1]. ADVENTURE sFlow uses the Newton method as the nonlinear iteration, and to compute the problem at each step of the nonlinear iteration a stabilized finite element method is introduced. Moreover, to reduce the computational costs, an iterative domain decomposition method is applied to stabilized finite element approximations of stationary Navier–Stokes equations, for which Generalized Product-type methods based on Bi-CG (GPBiCG) [6] is used as the iterative solver of the reduced linear system in each step of the nonlinear iteration. A parallel computing method using the Hierarchical Domain Decomposition Method (HDDM) is also introduced. Numerical results show that ADVENTURE sFLow can analyze a stationary flow problem with 10 million DOF.続きを見る

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登録日 2009.04.22
更新日 2017.02.09