Validation and verification of Courant number insensitive CE/SE method for transient viscous flow simulations

Validation and verification of Courant number insensitive CE/SE method for transient viscous flow simulations
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DOI:
10.1016/j.matcom.2008.04.007
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发表时间:
2008-09
期刊:
Math. Comput. Simul.
影响因子:
--
通讯作者:
B. Venkatachari;G. Cheng;B. Soni;Sin-Chung Chang
B. Venkatachari;G. Cheng;B. Soni;Sin-Chung Chang
中科院分区:
其他
文献类型:
--
作者:
B. Venkatachari;G. Cheng;B. Soni;Sin-Chung Chang

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在本文中,我们报告的时空守恒元解元(CE/SE)框架为基础的粘性流求解器的扩展。通过使用CE/SE为基础的求解器紧密相关的CFL数的差距在整个网格中获得的解决方案的准确性,一个新的配方,使解决方案不敏感CFL数的差距在这里提出。开发的求解器的能力,然后验证通过模拟的二维问题,如驱动腔,外部流在平板,层流在一个正方形的圆柱体,等调查也进行了验证结果的敏感性网格间距和网格结构。
In this paper, we report an extension of the space–time conservation element–solution element (CE/SE) framework-based viscous flow solver. With the accuracy of solution obtained through the use of a CE/SE-based solver closely related to the CFL number disparity across the mesh, a new formulation to make the solution insensitive to CFL number disparity is herein presented. The capability of the developed solver is then validated through simulation of 2D problems such as driven cavity, external flow over a flat plate, laminar flow over a square cylinder, etc. Investigations are also conducted to verify the sensitivity of results to grid spacing and mesh structure.