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首页> 外文期刊>Journal of Mechanical Science and Technology >Numerical study of rectangular spectral collocation method on flow over a circular cylinder
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Numerical study of rectangular spectral collocation method on flow over a circular cylinder

机译：圆形圆柱体流动矩形谱串联法的数值研究

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Laminar flow over a circular cylinder has been widely used as a classical benchmark test for various numerical methods for partial differential equations. One of the popular ways is by using the vorticity-streamfunction formulation of the Navier-Stokes equations on a bounded numerical domain. The partial differential equations are solved numerically by the method of lines, where space is discretized using the standard collocation method, subject to multiple boundary conditions in the form of Dirichlet at the inlet and Neumann at the outlet. The resulting system of equations are then advanced in time using multistep methods. Fourier-Chebyshev pseudospectral method is used to approximate the solutions in space and Adams-Bashforth third-order backward differentiation method is employed as a time-stepping method. The rectangular spectral collocation method, developed by Driscoll and Hale, is applied to solve the ambiguity in imposing multiple boundary conditions on the same boundary points. The numerical simulations show very good agreement with similar studies for the Strouhal number, drag and lift coefficients over Reynolds numbers ranging from 50 to 150.
机译：在圆柱体上的层流已经广泛用作局部微分方程的各种数值方法的经典基准测试。其中一种流行的方式是通过在有界数值域上使用Navier-Stokes方程的Vorticity-StreamFunction制定。通过线路的方法，使用标准搭配方法离散地分散空间的方式来数量地解决部分微分方程，其中通过在出口处的入口和Neumann的Dirichlet形式的多个边界条件受到多个边界条件。然后使用MultiSep方法及时提前所得到的等式系统。 Fourier-Chebyshev Pseudtepectror方法用于近似空间中的解决方案，采用Adams-Bashforth三阶向后分化方法作为时间步进方法。由Driscoll和HALE开发的矩形光谱搭配方法应用于解决在同一边界点上施加多个边界条件的模糊性。数值模拟表现出与斯特鲁尔数量，雷诺数的类似研究相似的研究，从50到150的雷诺数。

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