求解轴对称域非稳态热传导问题的并行技术

L. Spevak, O. Nefedova
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引用次数: 0

摘要

本文开发了一种求解轴对称边界条件下轴对称域非稳态热传导扩散问题的并行算法和程序。数值解基于边界元法。为了优化和提高算法的计算机实现效率,采用了并行计算和OpenMP应用程序接口。通过将计算结果与已知精确解的数据进行比较,对程序进行了验证。计算证实了数值解的正确性,以及根据可用的内核/处理器数量,在不同数量的边界元素上实现完全缩放的可能性。该程序适用于求解轴对称热传导和扩散问题,作为软件系统的组成部分,也可用于求解非线性问题。
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Parallel technology for solving nonstationary heat conduction problems in axisymmetric domains
The paper develops a parallel algorithm and program for solving nonstationary heat conduction and diffusion problems in axisymmetric domains with axisymmetric boundary conditions. The numerical solution is based on the boundary element method. In order to optimize and enhance the effectiveness of the computer implementation of the algorithm, the computations are parallelized and the OpenMP application program interface is used. The program is tested by comparing the calculation results with the data of known exact solutions. The calculations confirm the correctness of the numerical solutions and the possibility of full scaling at different numbers of boundary elements according to the number of cores/processors available. The program is applicable to solving axisymmetric heat conduction and diffusion problems and, as a component of a software system, to solving nonlinear problems.
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