Application of High-Order Compact Difference Scheme in the Computation of Incompressible Wall-Bounded Turbulent Flows
Application of High-Order Compact Difference Scheme in the Computation of Incompressible Wall-Bounded Turbulent Flows
复制标题
高阶紧差分格式在不可压缩壁界湍流计算中的应用
DOI：
10.3390/computation6020031
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发表时间：
2018-04
期刊：
影响因子：
2.2
通讯作者：
Xiaojing Zheng
中科院分区：
文献类型：
--
作者：
Ruifeng Hu;Limin Wang;Ping Wang;Yan Wang;Xiaojing Zheng
在本工作中，一个高效的不可压缩流动求解器与半隐式时间推进的全交错网格上使用高阶紧致差分格式的近似因式分解的框架。采用四阶紧致差分格式对不可压Navier-Stokes方程的导数和插值进行逼近。采用快速傅立叶变换（FFT）有效地求解了压力泊松方程。近似因式分解的框架显着简化了高阶紧致格式的半隐式时间推进的实现。基准测试表明，所提出的数值方法的高精度。其次，应用本文提出的数值方法，对中低雷诺数下的槽道湍流进行了直接数值模拟（DNS）和大涡模拟（LES）。结果表明，采用高阶差分格式比传统的二阶中心差分格式对湍流统计特性尤其是能谱的预测有明显的改善。
In the present work, a highly efficient incompressible flow solver with a semi-implicit time advancement on a fully staggered grid using a high-order compact difference scheme is developed firstly in the framework of approximate factorization. The fourth-order compact difference scheme is adopted for approximations of derivatives and interpolations in the incompressible Navier–Stokes equations. The pressure Poisson equation is efficiently solved by the fast Fourier transform (FFT). The framework of approximate factorization significantly simplifies the implementation of the semi-implicit time advancing with a high-order compact scheme. Benchmark tests demonstrate the high accuracy of the proposed numerical method. Secondly, by applying the proposed numerical method, we compute turbulent channel flows at low and moderate Reynolds numbers by direct numerical simulation (DNS) and large eddy simulation (LES). It is found that the predictions of turbulence statistics and especially energy spectra can be obviously improved by adopting the high-order scheme rather than the traditional second-order central difference scheme.
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影响因子：
1
作者：
A. Demuren;R. Wilson;M. Carpenter
通讯作者：
A. Demuren;R. Wilson;M. Carpenter
影响因子：
2.5
作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
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DOI：
10.1016/j.jcp.2016.01.014
发表时间：
2016-04
期刊：
J. Comput. Phys.
影响因子：
--
作者：
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通讯作者：
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影响因子：
27.7
作者：
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通讯作者：
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