Incompressibility and No-Slip Boundaries in the Chebyshev-Tau Approximation
Incompressibility and No-Slip Boundaries in the Chebyshev-Tau Approximation
复制标题
切比雪夫-陶近似中的不可压缩性和无滑移边界
DOI：
10.1006/jcph.1995.1163
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发表时间：
1995
影响因子：
4.1
通讯作者：
J. Werne
中科院分区：
文献类型：
--
作者：
J. Werne
我对 Kleiser 和 Schumann 对无滑移平面边界之间 3D 时间相关不可压缩流动数值模拟的影响矩阵解提出了一个微小但重要的修正（L. Kleiser 和 U. Schumann，在 Proc. 3rd GAMM Conf. NumericalMethods in Fluid Mechanics 中，由 E. H. Hirschel 编辑，Vieweg，Braunschweig，1980 年，第 165 页）。我提出的解决方案技术在很大程度上与克莱泽和舒曼的相同，唯一值得注意的区别是我对截断（或“tau”）错误的处理。尽管这种改进似乎只是对其原始算法的轻微修改，但在尝试满足不可压缩性约束时遇到的误差显着减少（减少了 1011 倍），产生了在机器精度范围内无散度的速度场。
I present a minor, but important correction to Kleiser and Schumann's influence-matrix solution for numerical simulation of 3D time-dependent incompressible flow between no-slip plane boundaries (L. Kleiser, and U. Schumann, in Proc. 3rd GAMM Conf. Numerical Methods in Fluid Mechanics, edited by E. H. Hirschel, Vieweg, Braunschweig, 1980, p. 165). The solution technique I present is, for the most part, identical to Kleiser and Schumann's, the only noteworthy difference being my treatment of the truncation (or "tau") errors. Though this improvement appears to be but a slight modification to their original algorithm, the error encountered when attempting to satisfy the incompressibility constraint is reduced dramatically (by a factor of 1011), producing velocity fields which are divergence-free to within machine precision.