Developing a new mesh deformation technique based on support vector machine

作者：Gao, Xiang; Dong, Yidao; Xu, Chuanfu^*; Xiong, Min; Wang, Zhenghua; Deng, Xiaogang

来源：International Journal of Computational Fluid Dynamics, 2017, 31(4-5): 246-257.

DOI：10.1080/10618562.2017.1328734

• Mesh deformation
• support vector machine
• radial basis function
• control point
• mesh quality metric

Mesh deformation technique is widely applied in numerical simulations involving moving boundaries, and the deforming capability and efficiency is the key of it. In this paper, we present a new point-by-point mesh deformation method based on the support vector machine. This proposed method, to certain extent, is similar to the radial basis RBF) interpolation method with data reduction, but the new approach selects key boundary points automatically without specifying an initial set, and the function coefficients are obtained by solving a simple quadratic programming problem. Therefore, it is more efficient than the RBF method. Typical 2D/3D applications and realistic unsteady flow over a pitching airfoil are simulated to demonstrate the capability of the new method. With proper setting, the quality of the deformed meshes after using the new method is comparable to that of the RBF method, and the performance is improved by up to 7 x.

• 出版日期2017
• 单位中国人民解放军国防科学技术大学