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A parallel domain decomposition boundary element method approach for the solution of large-scale transient heat conduction problems

机译：解决大规模瞬态热传导问题的并行域分解边界元方法

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This paper develops a parallel domain decomposition Laplace transform BEM algorithm for the solution of large-scale transient heat conduction problems. In order to tackle large problems the original domain is decomposed into a number of sub-domains, and a Laplace transform method is utilized to avoid time marching. A procedure is described which provides a good initial guess for the domain interface temperatures, and an iteration procedure is carried out to satisfy continuity of temperature and heat flux at the domain interfaces. The decomposition procedure significantly reduces the size of any single problem for the BEM, which significantly reduces the overall storage and computational burden and renders the application of the BEM to large transient conduction problems on modest computational platforms. The procedure is readily implemented in parallel and applicable to 3D problems. Moreover, as the approach described herein readily allows adaptation and integration of traditional BEM codes, it is expected that the domain decomposition approach coupled to parallel implementation should prove very competitive to alternatives proposed in the literature such as fast multipole acceleration methods that require a complete re-write of traditional BEM codes. (C) 2006 Elsevier Ltd. All rights reserved.
机译：为了解决大规模瞬态热传导问题，本文提出了一种并行域分解拉普拉斯变换BEM算法。为了解决较大的问题，将原始域分解为多个子域，并使用拉普拉斯变换方法避免时间前进。所描述的过程为域界面温度提供了良好的初始猜测，并执行了迭代过程以满足域界面温度和热通量的连续性。分解过程显着减小了BEM的任何单个问题的大小，从而显着减少了整体存储和计算负担，并使BEM应用于适度计算平台上的大型瞬态传导问题。该过程很容易并行实施，并且适用于3D问题。此外，由于本文所述的方法易于允许传统BEM代码的适应和集成，因此预期与并行实现相结合的域分解方法应证明与文献中提出的替代方案（例如需要完全重载的快速多极加速方法）相比具有很大的竞争力。 -编写传统的BEM代码。 （C）2006 Elsevier Ltd.保留所有权利。

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