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An adaptive selective frequency damping method
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DOI：10.1063/1.4932107.png)
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摘要
En 中文
The selective frequency damping (SFD) method is an alternative to classical Newton's method to obtain unstable steady-state solutions of dynamical systems. However, this method has two main limitations: it does not converge for arbitrary control parameters, and when it does converge, the time necessary to reach a steady-state solution may be very long. In this paper, we present an adaptive algorithm to address these two issues. We show that by evaluating the dominant eigenvalue of a partially converged steady flow, we can select a control coefficient and a filter width that ensure an optimum convergence of the SFD method. We apply this adaptive method to several classical test cases of computational fluid dynamics and we show that a steady-state solution can be obtained with a very limited (or without any) a priori knowledge of the flow stability properties. (C) 2015 AIP Publishing LLC.
Keyword:
ROTATING CIRCULAR-CYLINDER
NAVIER-STOKES EQUATIONS
INSTABILITY
FLOW
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期刊
IF:
4.3
论文数:
2.9W
被引数:
8.0W
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