Variational bound on energy dissipation in turbulent shear flow
Variational bound on energy dissipation in turbulent shear flow
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DOI：
10.1103/physrevlett.79.4170
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发表时间：
1997-11
影响因子：
8.6
通讯作者：
R. Nicodemus;S. Grossmann;M. Holthaus
中科院分区：
文献类型：
--
作者：
R. Nicodemus;S. Grossmann;M. Holthaus
我们提出了数值解的扩展Doering-Constantin变分原理的上限上的能量耗散率在平面Couette流，桥接从低到渐近高雷诺数的整个范围。我们的变分约束具有结构，即在中间雷诺数明显的最小值，并恢复Busse约束的渐近制度。最显着的特点是分叉的最小波数，从而产生简单的缩放的优化变分参数，和上限，与雷诺数。
We present numerical solutions to the extended Doering-Constantin variational principle for upper bounds on the energy dissipation rate in plane Couette flow, bridging the entire range from low to asymptotically high Reynolds numbers. Our variational bound exhibits structure, namely a pronounced minimum at intermediate Reynolds numbers, and recovers the Busse bound in the asymptotic regime. The most notable feature is a bifurcation of the minimizing wave numbers, giving rise to simple scaling of the optimized variational parameters, and of the upper bound, with the Reynolds number.