Variable scale filtered Navier–Stokes equations: A new procedure to deal with the associated commutation error
Variable scale filtered Navier–Stokes equations: A new procedure to deal with the associated commutation error
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变尺度滤波纳维-斯托克斯方程：处理相关换向误差的新程序
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
D. Tordella
中科院分区：
文献类型：
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作者：
M. Iovieno;D. Tordella
一个简单的程序来近似的noncommutation条款，每当它是必要的，使用一个可变尺度滤波的运动方程，并直接补偿从换向误差的流量解决方案在这里提出。这种情况通常涉及非均匀湍流的大涡模拟。平均和微分运算的非对易性导致运动方程中的非齐次项，这些项作为强度的源项，依赖于滤波器尺度δ的梯度，如果忽略这些项，则在整个解中引起系统误差。在这里，运动方程的不同非对易项被确定为δ梯度和滤波变量的δ导数的函数。它示出在这里，近似noncommutation项的第四阶精度，相对于滤波尺度，可以得到使用系列扩展的滤波器宽度的近似的基础上有限差分和…
A simple procedure to approximate the noncommutation terms that arise whenever it is necessary to use a variable scale filtering of the motion equations and to compensate directly the flow solutions from the commutation error is here presented. Such a situation usually concerns large eddy simulation of nonhomogeneous turbulent flows. The noncommutation of the average and differentiation operations leads to nonhomogeneous terms in the motion equations, that act as source terms of intensity which depend on the gradient of the filter scale δ and which, if neglected, induce a systematic error throughout the solution. Here the different noncommutation terms of the motion equation are determined as functions of the δ gradient and of the δ derivatives of the filtered variables. It is shown here that approximated noncommutation terms of the fourth order of accuracy, with respect to the filtering scale, can be obtained using series expansions in the filter width of approximations based on finite differences and in...