Improved Amplification Factor Transport Transition Model for Transonic Boundary Layers

Abstract

Linear-stability-theory-based [Formula: see text] method plays an important role in boundary-layer transition prediction of aeronautical flows. Based on the simplification of linear stability theory (Drela and Giles, AIAA J, 1987), the amplification factor transport (AFT) equation for Tollmien–Schlichting waves using local variables was first proposed in 2013 (Coder and Maughmer, AIAA J, 2014). However, in transonic high-Reynolds-number flows, the AFT model seriously overestimates the value of [Formula: see text]. To fix this problem, we have conducted many linear stability analyses to rebuild the formulations of AFT model. Compressibility effect, which has a significant impact on the prediction of [Formula: see text] value, has been considered in the improved version. Coupled with the [Formula: see text] model for crossflow instabilities (Xu et al., CJA, 2020), the improved AFT model is established for transonic boundary layers. Several classic test cases are successfully employed to validate present AFT model, including a flat plate, an airfoil, an infinite swept wing, a sickled-shape wing, a 6:1 inclined prolate spheroid, the NASA Common Research Model, and ARA Transonic Swept Wing. Our prediction results show that both Tollmien–Schlichting instabilities and stationary crossflow instabilities can be captured and predicted well by the improved [Formula: see text] model in subsonic and transonic boundary layers.

A new single switch universal supply voltage DC-DC converter for PV systems with MGWM-AFLC MPPT controller

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Study on Wind-Induced Dynamic Response and Statistical Parameters of Skeleton Supported Saddle Membrane Structure in Arching and Vertical Direction

“…Jacome et al [12] optimized the aerodynamic-induced vibration of the wing based on the uncertainty-based aerodynamic optimization method. Scholars at home and abroad have also carried out related research on steel structures [13], high-rise buildings [14][15][16] and other building structures [17][18][19][20][21][22][23].…”

Optimal Weak Order and Approximation of the Invariant Measure with a Fully-Discrete Euler Scheme for Semilinear Stochastic Parabolic Equations with Additive Noise

“…(Stochastic) Differential equations are widely used in various fields of science (e.g., [1][2][3]). In order to find the hiding information of (stochastic) differential equations, it is necessary for us to analyze the properties of their solution (e.g., [4][5][6][7]).…”

“…Finally, we give some comments on a few works related to invariant measures for (1). The linear implicit Euler time semi-discretization was examined in [14] for (1) with spacetime white noise. In [15], the authors studied a full discretization realized by a spectral Galerkin method in spatial direction and an Euler scheme in temporal direction for (1) with space-time white noise.…”

“…The linear implicit Euler time semi-discretization was examined in [14] for (1) with spacetime white noise. In [15], the authors studied a full discretization realized by a spectral Galerkin method in spatial direction and an Euler scheme in temporal direction for (1) with space-time white noise. In [25], a full-discrete exponential Euler approximation of the invariant measure for (1) driven by additive noise was analyzed.…”