TY - GEN
T1 - Airfoil optimization based on isogeometric discontinuous galerkin
AU - Wang, Kun
AU - Yu, Shengjiao
AU - Liu, Tiegang
N1 - Publisher Copyright:
© 2018 Association for Computing Machinery.
PY - 2018/7/27
Y1 - 2018/7/27
N2 - In this paper, an adjoint-based airfoil optimization algorithm is developed based on isogeometric discontinuous Galerkin (IDG) method for compressible Euler equations. We first parameterize the airfoil by B-spline curve approximation with some control points viewed as design variables, and build the B-spline representation of the flow field with the curve to apply global refined IDG method for flow solution. With the isogeometric nature, not only all the geometrical cells but also the numerical basis functions can be analytically expressed by the design variables. Consequently, the gradient involved in SQP optimization algorithm is totally estimated in an accurate approach indicating that the numerical solutions and objective could be differentiable with respect to those variables. The proposed algorithm is demonstrated on RAE2822 airfoil with inviscid transonic flow.
AB - In this paper, an adjoint-based airfoil optimization algorithm is developed based on isogeometric discontinuous Galerkin (IDG) method for compressible Euler equations. We first parameterize the airfoil by B-spline curve approximation with some control points viewed as design variables, and build the B-spline representation of the flow field with the curve to apply global refined IDG method for flow solution. With the isogeometric nature, not only all the geometrical cells but also the numerical basis functions can be analytically expressed by the design variables. Consequently, the gradient involved in SQP optimization algorithm is totally estimated in an accurate approach indicating that the numerical solutions and objective could be differentiable with respect to those variables. The proposed algorithm is demonstrated on RAE2822 airfoil with inviscid transonic flow.
KW - Airfoil optimization
KW - B-spline
KW - Discontinuous galerkin
KW - Isogeometric analysis
UR - https://www.scopus.com/pages/publications/85055449019
U2 - 10.1145/3242840.3242856
DO - 10.1145/3242840.3242856
M3 - 会议稿件
AN - SCOPUS:85055449019
T3 - ACM International Conference Proceeding Series
SP - 227
EP - 231
BT - Proceedings of 2018 2nd International Conference on Algorithms, Computing and Systems, ICACS 2018
PB - Association for Computing Machinery
T2 - 2nd International Conference on Algorithms, Computing and Systems, ICACS 2018
Y2 - 27 July 2018 through 29 July 2018
ER -