A three dimensional parallel implementation of Multiscale Mixed Methods based on non-overlapping domain decomposition techniques is proposed for multi-core computers and its computational performance is assessed by means of numerical experimentation. As a prototypical method, from which many others can be derived, the Multiscale Robin Coupled Method is chosen and its implementation explained in detail. Numerical results for problems ranging from millions up to more than 2 billion computational cells in highly heterogeneous anisotropic rock formations based on the SPE10 benchmark are shown. The proposed implementation relies on direct solvers for both local problems and the interface coupling system. We find good weak and strong scalalability as compared against a state-of-the-art global fine grid solver based on Algebric Multigrid preconditioning in single and two-phase flow problems.

翻译：提议对多核心计算机采用基于非重叠域分解法的多层混合方法三维平行实施,其计算性能通过数字实验加以评估。作为一种原型方法,可以从中得出许多其他方法,选择并详细解释其实施情况。根据SPE10基准,在高度不重叠的厌食岩层中,从百万到20亿以上计算细胞的问题的数值结果显示。拟议的实施依靠直接解决当地问题和界面连接系统的解决方案。我们发现,相对于基于单阶段和两阶段流动问题的Algebric多电网先决条件的最先进的全球微小电网解决方案,我们发现,这种方法非常弱,而且具有很强的可伸缩性。