无波动、无自由参数、耗散的隐式差分格式
Implicit, Non-Oscillatory Containing No Free Parameters and Dissipative (INND) Scheme
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摘要: 本文建立了求解NS方程和Euler方程无波动、无自由参数、耗散的隐式差分格式.该格式是TVD的和无条件稳定的.其隐式部分在1,2,3维情况下仅分别依赖于3,5,9个点,且系数矩阵是主对角占优的.计算例题表明,该方法可获得和显式方法相同的精度,能很好地捕捉激波和剪切层,且计算时间比显式有较多的节省.Abstract: An implicit non-oscillatory containing no free parameter and dissipative (INND) scheme wiring Navier Stokes equations is developed. This scheme is one of total variation diminishing (TVD) algorithms. The results show that this seheme is applicable for solving Navier Stokes equations, and that the shock-capturing capahilhility and the convergence rate arc satisfactory.
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Key words:
- numerical simulations /
- TVD schemes /
- NND schemes /
- implicit NND schemes
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[1] 张涵信,空气动力学学报.2, 1, (1984). [2] 张涵信.空气动力学学报,6,2, (1987). [3] 张涵信.CARDC报告.89-1001,(1989). [4] Edney, B,E,FFA, Rept. 115, Feb,(1986). -
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