Nonlinear Analysis of Airfoil High-Intensity Gust Response Using a High-Order Prefactored Compact Code

Abstract

The .nonlinear response of symmetric and loaded airfoils to an impinging vortical gust is investigated in the parametric space of gust dimension, intensity, and frequency. The study, which was designed to investigate the validity limits for a linear analysis, is implemented by applying a nonlinear high-order prefactored compact code and comparing results with linear solutions from the GUST3D frequency-domain solver. Both the unsteady aerodynamic and acoustic gust responses are examined.

Application of Space-Time Mapping Analysis Method to Unsteady Nonlinear Gust-Airfoil Interaction Problem

“…In this work, the gust response is investigated for a cambered, thick Joukowksi airfoil, which requires recasting the equations into generalized curvilinear coordinates. Similar to previous studies [4,7]…”

“…The numerical study previously performed in Ref. [4] used the nonlinear high-order prefactored compact code to examine the unsteady response of both symmetric and cambered airfoils to an impinging vortical gust in the parametric space of gust dimension, intensity, and frequency. For the analysis of the nonlinear gust response problem, a C-grid 2D topology was generated for a 12% thick Joukowski airfoil.…”

“…The present study focuses on one particular case from a set of gust and airfoil configurations examined in Ref. [4]. In particular, a loaded, 12%thick 2%-cambered Joukowski airfoil is considered at a two-degree angle of attack.…”

“…A numerical study of the CAA benchmark problem of a high-intensity gust-airfoil unsteady interaction has been previously conducted in Ref. [4] using a nonlinear high-order prefactored compact CAA code implementing the low-storage 4 th order 5-6 Low Dispersion and Dissipation Runge-Kutta scheme [5] for time marching, and prefactored 6 th order compact scheme and explicit boundary stencils for spatial derivatives [6].…”

Experimental and Numerical Investigation of Turbulence-Airfoil Noise Reduction Using Wavy Edges

“…Scott 8 provided benchmark solutions using the linearized Euler solver GUST3D for a linear vortical gust impinging on a Joukowski airfoil. Golubev et al [9][10][11][12] performed a vast study on the gust-airfoil interaction, taking interest on high frequencies and high amplitudes effects. Hixon et al [13][14][15] also worked on this problem using the NASA code BASS.…”