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Parallel implementation of three-dimensional model of two-phase fluid filtration based on improved alternating triangular method

机译:基于改进交替三角法的两相流体过滤三维模型的并行实现

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In this paper, we consider the Buckley-Leverett model for space-dimensional problems of two-phase filtration of incompressible fluids based on gravity and without capillary forces. An advanced modified alternating triangular iterative method (MATM) that takes into account the availability of sources (sinks) in a relatively small number of nodes characterised by generalised delta-shaped functions is applied for a discrete model that approximates the boundary-initial task of filtration. We investigate the numerical solution of computationally time-consuming tasks in the reservoir with significant heterogeneity of permeability, which changes by four orders of magnitude within the reservoir and has a significant advantage to achieve a given accuracy within the number of iterations. In order to develop a coherent version of the advanced MATM, a parallel algorithm of its numerical implementation, based on decomposition in two spatial directions, is implemented on a multi-processor system with shared memory containing 2048 cores and a peak performance of 18.8 teraflops. Compared with a traditional implementation, a significant efficiency boost is demonstrated leading to a tenfold reduction of the the simulation process.
机译:在本文中,我们考虑基于重力且没有毛细作用力的不可压缩流体两相过滤的空间维问题的Buckley-Leverett模型。一种高级的改进的交替三角迭代方法(MATM),该方法考虑了以广义三角型函数为特征的相对少量节点中的源(接收器)的可用性,将其应用于近似于过滤的边界初始任务的离散模型。我们研究了具有显着渗透率非均质性的储层中计算耗时的任务的数值解,该非均质性在储层内变化了四个数量级,并且具有在迭代次数内实现给定精度的显着优势。为了开发高级MATM的一致版本,其数字实现的并行算法基于两个空间方向上的分解,是在具有2048个核的共享内存和18.8 teraflop的峰值性能的多处理器系统上实现的。与传统实现相比,事实证明,效率显着提高,导致仿真过程减少了十倍。

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