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首页> 外文期刊>Journal of Computational Physics >PARALLEL MULTIGRID COMPUTATION OF THE UNSTEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
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PARALLEL MULTIGRID COMPUTATION OF THE UNSTEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

机译：非定常不可压Navier-Stokes方程的并行多重网格计算

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Parallel computation on distributed-memory machines offers the capability of a scalable approach to the solution of large CFD problems. However, in order to fully realize this capability, it is necessary not only to devise parallel methodologies, but also to develop numerical schemes for which the computational effort also scales with problem size. To this end, a parallel multigrid scheme for the calculation of the unsteady incompressible Navier-Stokes equations is considered here. A spatial and temporal second-order accurate implicit discretization scheme on a staggered grid is employed, and a full approximation storage multigrid method, appropriate for nonlinear problems, is used. A parallel solver is developed which smooths the equations at each multigrid level in a fully coupled mode. The programming paradigm is single program multiple data with message passing. In comparison with single-grid calculations, it is demonstrated that the convergence rate for multigrid calculations is considerably superior and dominates the slight degradation in speed up. (C) 1996 Academic Press, Inc. [References: 15]
机译：分布式内存计算机上的并行计算提供了解决大型CFD问题的可扩展方法的功能。但是，为了完全实现此功能，不仅需要设计并行方法，而且需要开发数值方案，其计算量也随问题规模而扩展。为此，此处考虑了用于计算非稳态不可压缩Navier-Stokes方程的并行多网格方案。采用了交错网格上的时空二阶精确隐式离散化方案，并采用了适合非线性问题的全近似存储多重网格方法。开发了一种并行求解器，它可以在完全耦合模式下在每个多网格级别对方程进行平滑处理。编程范例是带有消息传递的单程序多个数据。与单网格计算相比，证明了多网格计算的收敛速度明显优越，并且在加速方面略有下降。 （C）1996 Academic Press，Inc. [参考：15]

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