Sparse Techniques in Global Flow Instability with Application to Compressible Leading-Edge Flow

Sparse Techniques in Global Flow Instability with Application to Compressible Leading-Edge Flow
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全局流动不稳定性的稀疏技术及其在可压缩前沿流动中的应用

DOI:
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发表时间:
2013
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通讯作者:
V. Theofilis
V. Theofilis
中科院分区:
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文献类型:
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作者:
E. Gennaro;D. Rodríguez;M. Medeiros;V. Theofilis

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线性不稳定机制的研究对于理解从层流到湍流的转变过程是至关重要的。几十年来的许多研究已经报道了简单的一维定常层流基本流动的结果,如边界层和剪切层。然而,大多数具有实际工程意义的流动仍未被探索。主要原因是大多数应用中的几何形状和基本状态依赖于多于一个空间方向上的不均匀方式, 这不允许使用简化的方程。在稳定性问题公式中考虑两个或三个不均匀的方向导致完成参数研究的巨大计算成本,另一方面,从物理角度来看,这是强制性的。
Investigation of linear instability mechanisms is essential for understanding the process of transition from laminar to turbulent flow. Many studies over several decades have reported results in simple one-dimensional steady laminar basic flows, such as the boundary and shear layers. However, most flows of practical engineering significance remain unexplored. The main reason is that the geometry and underlying basic state in most applications depend on an inhomogeneous manner on more than one spatial direction, which does not permit use of simplified equations. The consideration of two or three inhomogeneous directions in the stability problem formulation results in formidable computational costs for completing parametric studies, which are, on the other hand, mandatory from a physical point of view.