An error indicator for finite difference methods using spectral techniques with application to aerofoil simulation
An error indicator for finite difference methods using spectral techniques with application to aerofoil simulation
复制标题
使用谱技术的有限差分方法的误差指示器，并应用于翼型模拟
DOI：
10.1016/j.compfluid.2018.03.065
复制
发表时间：
2018
影响因子：
2.8
通讯作者：
Jacobs C
中科院分区：
文献类型：
--
作者：
Jacobs C
这项工作引入了一种新的误差指示器，该指示器可以用来确定无滤波有限差分模拟中数值分辨率不足的区域。这种方法背后的背景是，与大尺度相比，小尺度(即波数较高的流动特征)的物理特征是较小的能量含量。这种能量应该随着波数的增加而以最小的速度减少；如果没有达到这个速度，很可能意味着较小的尺度在解点的计算网格上没有得到适当的解析。使用谱技术的方法来表示两种类型的误差指示符--一种是整数值的，一种是浮点值的。这些值是在跨域的有限数量的“块”上计算的。该指示器是在基于OpenSBLI有限差分的建模框架内实现的，并在三维Taylor-Green涡旋问题和V2C层流翼型流动的背景下进行了评估。
This work introduces a new error indicator which can be used to determine areas of insufficient numerical resolution in unfiltered finite difference simulations. The background behind the methodology is that smaller scales (i.e. the flow features with higher wave numbers) are physically characterised by a smaller energy content in comparison with larger scales. This energy should decrease with increasing wavenumber at a minimum rate; if this rate is not attained it likely means that the smaller scales are not being properly resolved on the computational grid of solution points. An approach using spectral techniques is used to formulate two varieties of the error indicator – one integer-valued and one floating point-valued. These values are computed at a finite number of ‘blocks’ which span the domain. The indicator is implemented within the OpenSBLI finite difference-based modelling framework, and evaluated in the context of a three-dimensional Taylor-Green vortex problem and flow past a V2C laminar flow aerofoil.
跨音速流中微湍流器形状和位置对非定常冲击波-边界层相互作用的影响分析
DOI：
10.5604/12314005.1213755
发表时间：
2016
期刊：
Journal of KONES. Powertrain and Transport
影响因子：
--
作者：
J. Sznajder;T. Kwiatkowski
通讯作者：
T. Kwiatkowski