CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2007, Vol. 24 ›› Issue (6): 698-704.

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Convergence Acceleration of High-order Weighted Compact Nonlinear Scheme (WCNS) for Compressible Flows

ZHANG Yifeng, DENG Xiaogang, MAO Meiliang, CHEN Jianqiang   

  1. China Aerodynamic Research and Development Center, Mianyang 621000, China
  • Received:2006-08-09 Revised:2007-01-14 Online:2007-11-25 Published:2007-11-25

Abstract: With a high-order weighted compact nonlinear scheme(WCNS) for space discretization,several different implicit methods,including LU-SGS,Gauss-Seidel point-relaxation,line-relaxation and GMRES(generalized minimal residual),are compared in the simulation of hypersonic viscous flows.Both point and line relaxations with analytical Jacobian matrix converge faster than those of LU-SGS.GMRES obtains a faster convergence rate combined with line relaxation.

Key words: high-order scheme, point relaxation, line relaxation, Generalized Minimal Residual algorithm, convergence rate

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