Resolvent analysis of an airfoil laminar separation bubble at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mtext>Re</mml:mtext><mml:mo>=</mml:mo><mml:mn>500</mml:mn><mml:mspace width="0.16em"/><mml:mn>000</mml:mn></mml:mrow></mml:math>
C. Yeh, Stuart I. Benton, Kunihiko Taira, Daniel J. Garmann
Abstract
The perturbation dynamics over an airfoil laminar separation bubble (LSB) is examined via resolvent analysis. The computational burden of singular value decomposition (SVD) is relieved through the randomized method, and the local energy amplification mechanisms of the LSB are extracted from the global resolvent operator with the discounting approach. With the applications of input and output windows, it is shown that the Kelvin-Helmholtz instability dominates the energy amplification over the LSB, and the optimal momentum-based forcing aligns with the tangential direction of the surface.
Topics & Concepts
Laminar flowResolventAirfoilSingular value decompositionMathematicsParameterized complexityAlgorithmPhysicsMathematical analysisMechanicsComputational Fluid Dynamics and AerodynamicsFluid Dynamics and Turbulent FlowsFluid Dynamics and Vibration Analysis