论文标题
校正后的Smagorinsky模型的数值分析
Numerical Analysis of a Corrected Smagorinsky Model
论文作者
论文摘要
经典的Smagorinsky模型的解决方案是(解决)平均速度的近似值。由于它是一个涡流模型,因此不能代表从未解决的波动到(分析)平均速度的能量流。最近对该模型进行了修改以结合此流程,并且仍然可以很好地进行。本文中,我们首先开发了修改模型的一些基本属性。接下来,我们对两种算法进行完整的数值分析以进行近似。它们经过测试并被证明是有效的。
The classical Smagorinsky model's solution is an approximation to a (resolved) mean velocity. Since it is an eddy viscosity model, it cannot represent a flow of energy from unresolved fluctuations to the (resolved) mean velocity. This model has recently been modified to incorporate this flow and still be well-posed. Herein we first develop some basic properties of the modified model. Next, we perform a complete numerical analysis of two algorithms for its approximation. They are tested and proven to be effective.