The characteristics of non-linear San Venant equation solutions and their stability and astringency with Preissmainn format considering the influence of resistance were analyzed,and then relations between numerical solution astringency and Δt/Δs and L/Δx in different φ and θ was also discussed. At the end, it's pointed out that attenuation and dispersion were always exist, and it's important to choose appropriate φ and θ in order to control numerical solutions' dispersing range and modeling velocity in actual model.
吴作平.非线性San Venant方程组数值稳定性分析[J].动力学与控制学报,2010,8(3):224~228; Wu Zuoping. Numerical stability analysis of nonlinear San Venant equations[J]. Journal of Dynamics and Control,2010,8(3):224-228.