A Higher Order Ensemble Simulation Algorithm for Fluid Flows
A Higher Order Ensemble Simulation Algorithm for Fluid Flows
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DOI：
10.1007/s10915-014-9932-z
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发表时间：
2015-07
影响因子：
2.5
通讯作者：
N. Jiang
中科院分区：
文献类型：
--
作者：
N. Jiang
本文提出了一种快速计算Navier-Stokes方程解的有效高阶方法。我们给出了一个完整的稳定性和收敛性分析的方法，层流和湍流的扩展。对于高雷诺数流动，我们提出并分析了一个涡粘性模型与最近的重新参数化的混合长度。该湍流模型依赖于与高阶方法兼容的系综平均值。数值试验表明，湍流模型具有上级稳定性。我们还给出了测试显示的新方法探索流动问题的潜力计算湍流强度，有效的李雅普诺夫指数，窗口的可预测性和验证选择性衰减原理。
This report presents an efficient, higher order method for fast calculation of an ensemble of solutions of the Navier–Stokes equations. We give a complete stability and convergence analysis of the method for laminar flows and an extension to turbulent flows. For high Reynolds number flows, we propose and analyze an eddy viscosity model with a recent reparameterization of the mixing length. This turbulence model depends on an ensemble mean compatible with the higher order method. We show the turbulence model has superior stability, also demonstrated in numerical tests. We also give tests showing the potential of the new method for exploring flow problems to compute turbulence intensities, effective Lyapunov exponents, windows of predictability and to verify the selective decay principle.