An efficient multigrid approach to solving highly recirculating flows
An efficient multigrid approach to solving highly recirculating flows
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DOI：
10.1016/0045-7930(94)00017-s
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发表时间：
1995
影响因子：
2.8
通讯作者：
N. Wright;P. Gaskell
中科院分区：
文献类型：
--
作者：
N. Wright;P. Gaskell
提出了一种多重网格求解策略，用于求解高循环不可压缩层流问题。本文强调了对运动控制方程，特别是惯性项，采用高阶离散的重要性，以及通过使用缺陷校正来提高方法的整体稳定性和效率。后者使解决方案的准确性相当于机器四舍五入，很容易找到解决方案的“工程精度”正在非常迅速地获得非常精细的网格。这些想法证明了两个常见的测试问题的解决方案-在一个盖子驱动的空腔流动和流动通过一个突然扩大的通道。结果表明，以这种方式进行导致一个强大的方法来解决这类问题，这是很容易扩展到三个维度。
A multigrid solution strategy is presented for the efficient and economic solution of highly recirculating incompressible laminar flows. This paper emphasizes the importance of using high order discretizations for the governing equations of motion, in particular the inertia terms, and the enhancement of the overall stability and efficiency of the method through the use of defect correction. The latter enables solutions to an accuracy equivalent to machine round-off to be found easily with solutions to ‘engineering accuracy’ being obtained very rapidly on extremely fine grids. These ideas are demonstrated for the solution of two commonly encountered test problems—flow in a lid-driven cavity and flow through a suddenly expanding channel. Results show that proceeding in this way leads to a robust methodology for the solution of a whole class of problems of this type, which is readily extended to three dimensions.