Exact Solutions of the Steady-State Navier-Stokes Equations

Exact Solutions of the Steady-State Navier-Stokes Equations
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DOI:
10.1146/annurev.fl.23.010191.001111
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发表时间:
1991
影响因子:
27.7
通讯作者:
Chaoyang Wang
Chaoyang Wang
中科院分区:
工程技术1区
文献类型:
--
作者:
Chaoyang Wang

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1. 这些解代表了基本的流体动力学流动。此外,由于精确解的一致有效性,可以更仔细地研究由Navier-Stokes方程描述的基本现象。2. 精确解作为检验许多近似方法准确性的标准,不管它们是数值的、渐近的还是经验的。当前计算机技术的进步使得对Navier-Stokes方程的完全数值积分变得更加可行。然而,结果的准确性只能通过与精确解的比较来确定。
1. The solutions represent fundamental fluid-dynamic flows. Also, owing to the uniform validity of exact solutions, the basic phenomena described by the Navier-Stokes equations can be more closely studied. 2. The exact solutions serve as standards for checking the accuracies of the many approximate methods, whether they are numerical, asymp­ totic, or empirical. Current advances in computer technology make the complete numerical integration of the Navier-Stokes equations more feasible. However, the accuracy of the results can only be ascertained by a comparison with an exact solution.