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.
翻译:古典的 magorinsky 模型的解决方案是接近( 解析) 平均速度的近似值。 由于它是一个 Eddy 粘结模型, 它不能代表从未解决的波动到( 解析) 平均速度的能量流动。 最近该模型已经修改, 以纳入该流量, 并且仍然处于良好的状态 。 在此我们首先开发了修改后模型的一些基本属性 。 接下来, 我们对其近似值进行两个算法的完整数字分析 。 它们被测试并被证明是有效的 。