オイラー方程式に対する収束加速法の比較

概要

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An efficient numerical solution has been developed for the Euler equations. The numerical procedure is based on the method of lines using the rational Runge-Kutta time integration scheme combined with the center finite difference approximation for spatial discretization. The residual averaging and multigrid techniques of both Jameson and Ni are incorporated into the basic scheme so that the convergence rate to a steady-state solution is improved. A series of numerical experiments have been carried out for two-dimensional transonic flow past the NACA 0012 and RAE 2822 airfoils on the Fujitsu VP-200 supercomputer. The residual averaging can significantly accelerate the convergence rate of the basic scheme. The convergence rate of Ni's coarse grid scheme is slightly slower than that of residual averaging. The best convergence rate is obtained by using both residual averaging and Jameson's multigrid techniques. The convergence rate is more than 2 times faster than a current diagonalized, implicit-approximate factorization scheme.
一般社団法人日本機械学会の論文
1989-09-25