Evaluation of Reduced-Order Models for Predictions of Separated and Vortical Flows

Computational fluid dynamics (CFD) simulations have the potential to provide predictions of flow around airfoils and wings of arbitrary complexity, without the need to perform real-world testing and experimentation. However, the computational cost of such simulations increases dramatically as the complexity of the modeled geometry increases, thus imposing limitations on the use of CFD for design optimization where many different flight conditions must be considered. Reduced-order models can overcome these limitations by providing rapid calculations of the flow field at a fraction of the computational cost, but the accuracy of such models can be substantially reduced in flows with complex physics, such as flow separation. In this paper, we compare the accuracy of three reduced-order models for calculating the coefficient of pressure, Cp, on both simple (i.e., NACA0012 airfoil) and complex (i.e., NACA64A006 wing) aerodynamic configurations at different angles of attack, including high angles of attack where flow separation occurs. These models are trained using CFD data and the capability of the models to predict Cp for new angles of attack is characterized. We find that reduced-order models based on local interpolation methods are the most accurate, although the accuracy becomes worse overall for a threedimensional wing and worse in particular for high angles of attack where flow separation occurs.

[1]  Søren Nymand Lophaven,et al.  DACE - A Matlab Kriging Toolbox, Version 2.0 , 2002 .

[2]  Ken Badcock,et al.  Transonic Aerodynamic Load Modeling of X-31 Aircraft Pitching Motions , 2013 .

[3]  Ken Badcock,et al.  On the generation of flight dynamics aerodynamic tables by computational fluid dynamics , 2011 .

[4]  Carlos E. S. Cesnik,et al.  Reduced-Order Modeling of Unsteady Aerodynamics Across Multiple Mach Regimes , 2014 .

[5]  A. Da Ronch,et al.  Computational fluid dynamics framework for aerodynamic model assessment , 2012 .

[6]  Daniella E. Raveh,et al.  Numerical Simulation and Reduced-Order Modeling of Airfoil Gust Response , 2005 .

[7]  Russell M. Cummings,et al.  Computational Investigation into the Use of Response Functions for Aerodynamic-Load Modeling , 2012 .

[8]  Mehdi Ghoreyshi,et al.  Accelerating the Numerical Generation of Aerodynamic Models for Flight Simulation , 2009 .

[9]  P. Sagaut,et al.  Building Efficient Response Surfaces of Aerodynamic Functions with Kriging and Cokriging , 2008 .

[10]  Ken Badcock,et al.  Transonic aerodynamic loads modeling of X-31 aircraft , 2012 .

[11]  Donald E. Gault,et al.  Boundary-layer and stalling characteristics of the NACA 64A006 airfoil section , 1949 .

[12]  Zhong-Hua Han,et al.  A New Cokriging Method for Variable-Fidelity Surrogate Modeling of Aerodynamic Data , 2010 .

[13]  Ken Badcock,et al.  Framework for establishing the limits of tabular aerodynamic models for flight dynamics analysis , 2011 .

[14]  John Valasek,et al.  Aircraft System Identification Using Artificial Neural Networks , 2013 .

[15]  Qing Wang,et al.  Unsteady aerodynamic modeling at high angles of attack using support vector machines , 2015 .

[16]  Eastman N. Jacobs,et al.  The characteristics of 78 related airfoil sections from tests in the variable-density wind tunnel , 1932 .

[17]  M. Grawunder,et al.  Experimental Analyses on the Flow Field Characteristics of the AVT-183 Diamond Wing Configuration (Invited) , 2015 .

[18]  A. Jirásek,et al.  Reduced order unsteady aerodynamic modeling for stability and control analysis using computational fluid dynamics , 2014 .

[19]  Robert Tomaro,et al.  Cobalt: a parallel, implicit, unstructured Euler/Navier-Stokes solver , 1998 .

[20]  Dmitry I. Ignatyev,et al.  Neural network modeling of unsteady aerodynamic characteristics at high angles of attack , 2015 .

[21]  A. Da Ronch,et al.  Framework for establishing the limits of tabular aerodynamic models for flight dynamics analysis , 2009 .

[22]  Andy J. Keane,et al.  Efficient Multipoint Aerodynamic Design Optimization Via Cokriging , 2011 .

[23]  David R. McDaniel,et al.  Aircraft Loads Characteristics Determined by System Identification and Proper Orthogonal Decomposition of CFD Simulations , 2010 .

[24]  Gianluca Iaccarino,et al.  A Surrogate Accelerated Bayesian Inverse Analysis of the HyShot II Flight Data , 2011 .

[25]  Eugene A. Morelli,et al.  System IDentification Programs for AirCraft (SIDPAC) , 2002 .

[26]  Weiwei Zhang,et al.  An approach to enhance the generalization capability of nonlinear aerodynamic reduced-order models , 2016 .

[27]  Søren Nymand Lophaven,et al.  DACE - A Matlab Kriging Toolbox , 2002 .

[28]  James Clifton,et al.  Aircraft Stability and Control Characteristics Determined by System Identification of CFD Simulations , 2008 .

[29]  D. Birchall,et al.  Computational Fluid Dynamics , 2020, Radial Flow Turbocompressors.