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单元级别并行有限元法求解工程涡流场的关键问题研究

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Keywords: 单元级别并行有限元法,图形处理单元,三维涡流场,二阶矢量位,并行计算

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Abstract:

单元级别并行有限元方法(EBE-PFEM)目前尚未在工程涡流场求解中得到应用。由于含有不同导电媒质的工程涡流问题经有限元离散化得到的方程组呈现病态性质,给EBE-PFEM这一有效方法的应用造成了困难。本文从数学模型选择与算法实施两方面出发对此提出了解决方案。将修正矢量磁位法及二阶矢量位法应用于涡流问题的数学模型中,能够简化问题的数学模型并改善涡流场离散化方程组的性质;而采用EBE-PFEM法求解该方程组,可以解决工程涡流场分析的存储规模庞大、求解困难的问题。文中并给出了EBE-PFEM法在GPU(图形处理单元)上的实现过程。

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