基于多尺度混合方法的十亿元油藏HPC模拟
Towards HPC simulations of Billion-cell Reservoirs by Multiscale Mixed Methods
摘要：
提出了一种基于非重叠区域分解技术的多尺度混合方法在多核计算机上的三维并行实现方法，并通过数值实验对其计算性能进行了评估。作为一个典型的方法，从许多其他人可以得出，多尺度罗宾耦合方法被选中，并详细说明其实现。数值计算结果的问题，从数百万到超过20亿的计算单元在高度非均匀的各向异性岩层的基础上SPE10基准。建议的实施依赖于直接求解器的本地问题和接口耦合系统。我们发现良好的弱和强的可缩放性相比，对最先进的全球精细网格求解器的基础上代数多重网格预处理在单相和两相流问题。
英文摘要：
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.
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