Novelly Combining Discontinuous Galerkin Method with Nonuniform Time Steps Technology

摘要：

In our opinion, Ref. (1)s discontinuous Galerkin method has a simple scheme and is good in calculation precision, but its slow convergence puts severe limits on its application to engineering problems. Therefore, we propose our novel solver for accelerating convergence. By this means, transonic flow over the airfoil NACA0012 is simulated. In this paper, the traditional Lagrange basis is orthogonalized, and the projection of residual on each direction attenuates in nonuniform rate. In our new solver, nonuniform CFL numbers are used for different components of the variables and residuals. Thanks to the orthonormal basis, larger CFL number can be used to accelerate the convergence rate. The result shows preliminarily that, compared with the traditional solver, our novel solver delivers a convergence rate that is approximately five times higher.

关键词： discontinuous Galerkin convergence transonic flows nonuniform CFL numbers airfoil

作者: Guo Yongheng Yang Yong Hao Haibing

作者单位: National Key Laboratory of Science and Technology on Aerodynamic Design and Research,Northwestern Polytechnical University, Xian 710071, China

会议类型: 国际会议

会议名称: 2010 Asia-Pacific International Symposium on Aerospace Technology(2010 亚太航空航天技术研讨会 APISAT 2010)

会议地点: 西安

会议语种:英文

页码: 407-409

在线出版日期: 2010-09-01（万方平台首次上网日期，不代表论文的发表时间）