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    Third order upwind difference scheme is applied to convection term to reduce the effect of numerical viscosity.
    采用三阶迎风差分格式离散控制方程中的对流项,克服了原VOF方法中对流项的差分格式精度低于二阶存在数值粘性,在一定程度上掩盖了实际物理粘性影响的缺陷。
    Chapter I summarizes the development in the area of CFD for calculatingflow field in the turbomachinery, analyzing the influence of numerical scheme andthe mesh quality on accuracy and convergence.
    第一章综述了求解涡轮机械流场的 CFD 计算领域的进展,分析了计算格式和网格带来的数值粘性对计算结果的精度和收敛性的影响。
    To ensure the numerical dissipation much smaller than the physical viscous terms, directional scaling of the artificial dissipation is achieved and proper boundary conditions are also introduced in this term.
    为保证高雷诺数下N-S方程的数值粘性远小于物理粘性,对人工粘性项进行了方向性修正并引入适当的边界条件。
    The numevical experiment shows that the present method has the ability to simulate the convective diffusion equation with high order accuracy, Irttle numerical dissipation, perfect stability and without any parasitic osillation.
    最后的数值实验表明它能很好地模拟对流扩散过程,数值粘性小,精度高,稳定性好,并且没有伪振荡现象发生。
    One typical calculating example (Re from 1 to 1000) is presented. The agreement between the numerical results and the exact solution is quite satisfactory and numerical dumping is eliminated.
    本文给出一个算例,分别计算了Re数从1到1000的情形,计算结果与精确解吻合,消除了在一般的数值方法中的数值粘性效应。
    In order to reduce the numerical viscosities of TVD schemes and improve their resolution, this paper suggests a new TVD scheme of Harten form with less numerical dissipation. Numerical experiments show that such a TVD scheme is better than Harten TVD scheme [1] and modified Harten scheme (Harten-Yee TVD scheme [2] ) in simulating boundary layer and vortices.
    为了减小TVD格式的数值粘性,提高TVD格式的分辨度,提出了一种 具有较小数值耗散的Harten型TVD格式.数值模拟结果表明,这种Harten型TVD 格式比原来的Harten格式[1]及其改进形式Harten—Yee[2]的TVD格式能更好地模拟 出边界层及涡流。
    A usual continuity equation is then transformed to a convective equation for wave elevation thus makes the numerical calculations easier comparatively. A damping zone is settled up combined with a Sommerfeld Orlanski (SO) condition before and at the outlet boundary. Several wave motions are tested, especially for the harmonic waves.
    在计算域的深度方向采用不均匀网格,水面处特意加密.同时,连续性方程变成波面起伏的对流型偏微分方程.出口边界处设置阻尼耗散区,外边界再用Sommerfeld-Orlanski(SO)条件闭合.计算了多种波浪问题,特别是对入射余弦波的模拟,着重考察了数值粘性(特别是时间步长)和出口条件对波浪传播的影响.
 

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