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首页> 外文会议>National Fluid Mechanics and Fluid Power Conference >Numerical solution of two dimensional Navier-Stokes equations of motion for incompressible Newtonian fluid flow: a study based on high accuracy compact finite difference approach
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Numerical solution of two dimensional Navier-Stokes equations of motion for incompressible Newtonian fluid flow: a study based on high accuracy compact finite difference approach

机译：不可压缩牛顿流体流动运动的二维Navier-Stokes方程的数值解：基于高精度紧凑有限差异方法的研究

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摘要

In this article we have discussed about the Compact Finite Difference approach to solve Navier-Stokes equation of motion for incompressible and Newtonian fluid with high accuracy. The Compact Finite Difference approach is fourth O(k~2+h~4) order accurate. This method takes nine grid point values into consideration in order to calculate a single grid value inside the flow domain in case of steady state problem. In unsteady flow case two level nine point implicit compact finite difference methods is used in similar passion. Special technique is used to avoid vicinity of the singularity for Navier-Stokes equation of Motion in polar coordinates.
机译：在本文中，我们已经讨论了求解Navier-Stokes Quickight和Newtonian流体的方法的紧凑有限差分方法，具有高精度。紧凑的有限差异方法是第四次（K〜2 + H〜4）的准确顺序。此方法考虑九个网格点值，以便在稳态问题的情况下计算流域内的单个网格值。在不稳定的流量外壳中，两个九个点隐式紧凑的有限差分方法用于类似的激情。特殊技术用于避免在极性坐标中的Navier-Stokes方程的奇点附近。

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