Prediction and optimization of airfoil aerodynamic performance using deep neural network coupled Bayesian method

Abstract

In this paper, we proposed an innovative Bayesian optimization (BO) coupled with deep learning for rapid airfoil shape optimization to maximize aerodynamic performance of airfoils. The proposed aerodynamic coefficient prediction model (ACPM) consists of a convolutional path and a fully connected path, which enables the reconstruction of the end-to-end mapping between the Hicks–Henne (H–H) parameterized geometry and the aerodynamic coefficients of an airfoil. The computational fluid dynamics (CFD) model is first validated with the data in the literature, and the numerically simulated lift and drag coefficients were set as the ground truth to guide the model training and validate the network model based ACPM. The average accuracy of lift and drag coefficient predictions are both about 99%, and the determination coefficient R2 are more than 0.9970 and 0.9539, respectively. Coupled with the proposed ACPM, instead of the conventional expensive CFD simulator, the Bayesian method improved the ratio of lift and drag coefficients by more than 43%, where the optimized shape parameters of the airfoil coincide well with the results by the CFD. Furthermore, the whole optimization time is less than 2 min, two orders faster than the traditional BO-CFD framework. The obtained results demonstrate the great potential of the BO-ACPM framework in fast and accurate airfoil shape optimization and design.

Current and emerging deep-learning methods for the simulation of fluid dynamics

“…to provide an initial guess) for the adjoint method for aerodynamic design in settings where similar optimization problems need to be solved repeatedly. A similar study was later carried out by Liu et al [124], although employing Bayesian optimization instead of gradient-based optimization. A similar speedup was reported.…”

“…A similar study was later carried out by Liu et al. [124], although employing Bayesian optimization instead of gradient-based optimization. A similar speedup was reported.…”

Aerodynamic optimization method of intake grille of active clearance control system for turbines based on modified social spider algorithm (MSSA)

“…The update velocity and the location of DPSO are given by equations ( 11) and (12), respectively. In the MVFSA, the initial particle is distributed by equation (13), and the random probability of acceptance P r is defined using the Boltzmann-Gibbs distribution in equation (14). Considering the high-dimensional and discrete character of the topology structure for MLFANN, the topological optimization is divided into two parts: the weights and biases of the neural network are optimized using the MSSA, and the number of hidden layers and the number of neurons per hidden layer are optimized using DPSO-MVFSA.…”

“…With the fast development of computational technology, various optimization theories have been investigated and some applied to the aerodynamic performance and stability optimization of machines. 13,14 Optimization is usually divided into three procedures: shape parameterization, deriving the optimization algorithm, and fitness value evaluation. 15 Honing these procedures should result in the effectiveness and efficiency of optimization.…”