Nonsymmetric Black Box multigrid with coarsening by three
Nonsymmetric Black Box multigrid with coarsening by three
复制标题
非对称黑盒多重网格，粗化三倍
DOI：
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发表时间：
2012
影响因子：
4.3
通讯作者：
Marion Weinzierl
中科院分区：
文献类型：
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作者：
I. Yavneh;Marion Weinzierl
将Dendy提出的用于非对称问题的经典Petrov-Galerkin黑箱多重网格方法与Dendy和莫尔顿提出的因子3粗化黑箱算法相结合，沿着一个强大的对称线Gauss-Seidel平滑器，得到了一个高效、鲁棒的多重网格求解器。重点对流扩散算子，该算法进行了测试，并实现快速和可靠的收敛与对流算子的一阶和二阶精度上游离散。该求解器还表现出强大的行为相对于扩散系数的不连续跳跃，并在很宽的扩散系数范围内的再循环流表现良好。常系数情况下的分析结果支持求解器的效率。版权所有© 2012约翰威利父子有限公司.
The classical Petrov–Galerkin approach to Black Box multigrid for nonsymmetric problems due to Dendy is combined with the recent factor‐three‐coarsening Black Box algorithm due to Dendy and Moulton, along with a powerful symmetric line Gauss–Seidel smoother, resulting in an efficient and robust multigrid solver. Focusing on the convection–diffusion operator, the algorithm is tested and shown to achieve fast and reliable convergence with both first‐order and second‐order accurate upstream discretizations of the convection operator. The solver also exhibits robust behavior with respect to discontinuous jumps in the diffusion coefficient and performs well for recirculating flows over a wide range of diffusion coefficients. The efficiency of the solver is supported by results of an analysis for the case of constant coefficients. Copyright © 2012 John Wiley & Sons, Ltd.