An Adaptive Finite Element Method for Stationary Incompressible Thermal Flow Based on Projection Error Estimation
An Adaptive Finite Element Method for Stationary Incompressible Thermal Flow Based on Projection Error Estimation
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DOI：
10.1155/2013/181348
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发表时间：
2013-12
影响因子：
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通讯作者：
Zhili Guo;Jian Su;Hao Chen;Xiaomin Liu
中科院分区：
文献类型：
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作者：
Zhili Guo;Jian Su;Hao Chen;Xiaomin Liu
提出了一种求解定常不可压热流问题的自适应有限元方法。提出了一种基于投影算子的可靠的后验误差估计器，该估计器易于计算和并行实现。最后，通过三个数值例子说明了自适应有限元方法的有效性。在第三个例子中，我们还表明自适应策略可以有效地检测方腔定常流物理模型中的局部奇异性。
An adaptive finite element method is presented for the stationary incompressible thermal flow problems. A reliable a posteriori error estimator based on a projection operator is proposed and it can be computed easily and implemented in parallel. Finally, three numerical examples are given to illustrate the efficiency of the adaptive finite element method. We also show that the adaptive strategy is effective to detect local singularities in the physical model of square cavity stationary flow in the third example.