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Implicit Low-Order Unstructured Finite-Element Multiple Simulation Enhanced by Dense Computation using OpenACC

机译:隐式低阶非结构有限元多重模拟   使用OpenaCC通过密集计算增强

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摘要

In this paper, we develop a low-order three-dimensional finite-element solverfor fast multiple-case crust deformation analysis on GPU-based systems. Basedon a high-performance solver designed for massively parallel CPU based systems,we modify the algorithm to reduce random data access, and then insert OpenACCdirectives. The developed solver on ten Reedbush-H nodes (20 P100 GPUs)attained speedup of 14.2 times from 20 K computer nodes, which is highconsidering the peak memory bandwidth ratio of 11.4 between the two systems. Onthe newest Volta generation V100 GPUs, the solver attained a further 2.45 timesspeedup from P100 GPUs. As a demonstrative example, we computed 368 cases ofcrustal deformation analyses of northeast Japan with 400 million degrees offreedom. The total procedure of algorithm modification and portingimplementation took only two weeks; we can see that high performanceimprovement was achieved with low development cost. With the developed solver,we can expect improvement in reliability of crust-deformation analyses bymany-case analyses on a wide range of GPU-based systems.
机译:在本文中,我们开发了一种低阶三维有限元求解器,可以在基于GPU的系统上快速进行多案例地壳变形分析。基于为大规模并行基于CPU的系统设计的高性能求解器,我们修改了算法以减少随机数据访问,然后插入OpenACC指令。在十个Reedbush-H节点(20个P100 GPU)上开发的求解器从20 K个计算机节点上获得了14.2倍的加速,这在两个系统之间的峰值内存带宽比为11.4时显得很高。在最新的Volta一代V100 GPU上,求解器比P100 GPU进一步提高了2.45倍。作为示例,我们计算了368例具有4亿自由度的日本东北部的地壳形变分析。算法修改和移植实现的整个过程仅用了两周的时间。我们可以看到,以较低的开发成本实现了高性能改进。借助开发的求解器,我们可以期望在基于GPU的广泛系统上进行大量案例分析,从而提高结壳变形分析的可靠性。

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