瞬态热传导问题的隐式EBE并行算法

结合有限元法，研究了ＥＢＥ策略在热传导问题并行计算方面的应用，给出了瞬态热传导问题的隐式ＥＢＥ并行算法。根据所用ＣＰＵ个数并行计算单元刚度矩阵，而总刚度矩阵Ｋ不需要组装，仅在“单元级”上进行各种计算。就模型实验规模１０２４阶而言，机器存存储量比传统算法降低了４０％左右，在拥有共享内存的并行计算机Ｃｈａｌｌｅｎｇｅ上的数值实验表明，问题的规模越大，并行效率越高，所给算法非常有效。

An EBE Parallel Implicit Algorithm for Transient Heat Conduction Problems

EBE strategy is presented for the solution of finite elements analysis of heat conduction problems, and then for problems of structural and solid mechanics. In previous studies, the strategy is introduced for decreasing storage and computational cost of serial algorithm, and then the technique is successfully used in aspect of parallel algorithm because of its high parallelism. With the finite element method the EBE parallel algorithm in computing heat conduction is studied. The EBE parallel implicit algorithm for transient heat conduction is given. According to the number of CPU, the stiffness matrices are parallel computed, and the total stiffness matrix does not be formed, all of the computations are performed on the element level. When the order of model is 1 024, the amount of the storage is only 60% of the traditional algorithm. The numerical experiment on Challenge computer shows that the larger the scale, the higher the efficiency, so the algorithm is very effective.