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首页> 外文期刊>International Journal of Computational Fluid Dynamics >Implicit eighth-order central compact scheme for the numerical simulation of steady and unsteady incompressible Navier-Stokes equations
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Implicit eighth-order central compact scheme for the numerical simulation of steady and unsteady incompressible Navier-Stokes equations

机译：稳态和非稳态不可压缩Navier-Stokes方程数值模拟的隐式八阶中心紧凑格式

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摘要

The pseudo-compressibility method, with an implicit eighth-order central compact scheme, is proposed to solve the steady and unsteady incompressible Navier-Stokes equations. In this method, the spatial discretisation comprises an eighth-order compact scheme with stable boundary closures and a tenth-order numerical filter operator. Moreover, a Lower-Upper Symmetric Gauss-Seidel time integration method is adopted for the pseudo time sub-iteration, whereas the dual-time step method is used to improve time accuracy. The reliability of the proposed procedure is verified by simulating the phenomenon of Taylor decaying vortices, the separated flow over a backward-facing step, and the low Reynolds number steady and unsteady viscous incompressible flow over a circular cylinder. The results of the present algorithm have been proven consistent, both with exact solutions and with experimental data.View full textDownload full textKeywordscompact scheme, unsteady flow, implicit high-order scheme, incompressible Navier-Stokes equations, Lower-Upper Symmetric Gauss-Seidel schemeRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/10618562.2012.690511
机译：为了解决稳态和非稳态不可压缩的Navier-Stokes方程，提出了一种具有隐式八阶中心紧致格式的拟压缩方法。在这种方法中，空间离散化包括具有稳定边界闭合的八阶紧凑方案和十阶数值滤波器算子。此外，伪时间子迭代采用了上下对称高斯-赛德尔时间积分方法，而双时间步长法则用于提高时间精度。通过模拟泰勒衰变涡旋现象，向后台阶上的分离流动以及圆柱上的低雷诺数稳态和非稳态粘性不可压缩流动，来验证所提出程序的可靠性。事实证明，该算法的结果在精确解和实验数据上都是一致的。查看全文下载全文关键词紧实方案，非恒定流，隐式高阶方案，不可压缩的Navier-Stokes方程，上下对称高斯-赛德尔方案var addthis_config = {ui_cobrand：“泰勒和弗朗西斯在线”，servicescompact：“ citeulike，netvibes，twitter，technorati，delicious，linkedin，facebook，stumbleupon，digg，google，更多”，发布号：“ ra-4dff56cd6bb1830b”}；添加到候选列表链接永久链接http://dx.doi.org/10.1080/10618562.2012.690511

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