DNS study of drag-reducing flow by additives using the artificial diffusion finite difference method

DNS study of drag-reducing flow by additives using the artificial diffusion finite difference method
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人工扩散有限差分法添加剂减阻流动的DNS研究

DOI:
10.1504/pcfd.2002.003226
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发表时间:
2002
影响因子:
0.7
通讯作者:
Y. Kawaguchi
Y. Kawaguchi
中科院分区:
工程技术4区
文献类型:
--
作者:
B. Yu;Y. Kawaguchi

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采用非牛顿本构方程,对含添加剂稀溶液的充分发展的槽道湍流进行了直接数值模拟。采用有限差分法离散动量方程和流变本构方程。二阶差分格式用于空间离散。亚当斯一家?对流项和扩散项均采用Bashforth格式进行时间推进。为了避免数值不稳定性,采用二阶迎风格式来逼近本构方程中的对流项,并引入人工项来阻尼振荡。计算已针对64 x 64 x 64网格执行。得到了湍流强度、涡量脉动和雷诺应力等湍流统计特性,并与牛顿流体的湍流统计特性进行了比较。
Direct numerical simulation (DNS), including Non-Newtonian constitutive equations, of a fully developed turbulent channel flow of a dilute additive solution has been carried out. A finite difference scheme is used to discretise the momentum equations and the rheological constitutive equations. A second-order difference scheme is used for the space discretisation. The Adams?Bashforth scheme is used for time marching for both the convective term and the diffusion term. In order to avoid numerical instability, a second order upwind scheme is used to approximate the convective term in the constitutive equation and an artificial term is introduced to damp the oscillation. The computation has been executed for 64 x 64 x 64 meshes. Various turbulence statistics, such as turbulence intensities, vorticity fluctuation and Reynolds stresses are obtained and compared with those of Newtonian fluid.