LONG-TERM RIGOROUS NUMERICAL INTEGRATION OF NAVIER-STOKES EQUATION BY NEWTON-GMRES ITERATION

作     者：Julius Rhoan T.Lustro Lennaert van Veen Genta Kawahara 

作者机构：College of Engineering and Agro-Industrial TechnologyUniversity of the Philippines Los Banos Faculty of ScienceUniversity of Ontario Institute of Technology Department of Mechanical Science and BioengineeringOsaka University1-3 Machikaneyama 

出 版 物：《Transactions of Nanjing University of Aeronautics and Astronautics》 (南京航空航天大学学报（英文版）)

年 卷 期：2013年第30卷第3期

页      面：248-251页

核心收录：

学科分类：080103[工学-流体力学] 08[工学] 080104[工学-工程力学] 0802[工学-机械工程] 0825[工学-航空宇航科学与技术] 0704[理学-天文学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：long-term numerical integration Newton-Raphson iteration general minimal residual(GMRES) multiple shooting unstable manifold 

摘      要：The recent result of an orbit continuation algorithm has provided a rigorous method for long-term numerical integration of an orbit on the unstable manifold of a periodic *** algorithm is matrix-free and employs a combination of the Newton-Raphson method and the Krylov subspace ***,the algorithm adopts a multiple shooting method to address the problem of orbital instability due to long-term numerical *** algorithm is described through computing the extension of unstable manifold of a recomputed Nagata′s lowerbranch steady solution of plane Couette flow,which is an example of an exact coherent state that has recently been studied in subcritical transition to turbulence.