绕一对球体流动的高效直接强迫沉浸边界法

IF 1.7 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Der Chang Lo, Katherine Lee, Pao-Lan Shen
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引用次数: 0

摘要

我们采用直接强迫沉浸边界法对一对球体和一个方形球体阵列周围的流动进行了数值研究。通过高分辨率三维计算,我们分析了几种结构周围的流动:一个球体、一对串联排列的球体(中心到中心的流向比 L/D 从 1 到 6 不等)以及一个由 9 个球体均匀排列的正方形阵列。在后一种情况下,我们探讨了阵列直径 (DG) 与球体直径 (D) 在 4、5、6 和 7 之间的比率。中心到中心的流向和横向间距是相同的,从 L/D = 1.5、2、2.5 到 3 不等,它们排列成正方形周期阵列,以便在阵列内均匀分布。基于有效的直接强迫沉浸边界投影法,应用分数时间行进法求解涉及三个速度和一个压力分量的四个场变量。通过使用快速傅立叶变换(FFT)和三对角矩阵算法(TDMA)在空间推进压力泊松方程,有效求解对角主导三对角矩阵方程。直接强迫沉浸边界法通过在边界添加适当的源作为力函数来处理界面项,从而分离相位。以流动中的静止固体障碍物为特征的几何图形被嵌入笛卡尔网格中,嵌入边界附近使用离散 Dirac delta 函数进行特殊离散,以确保切割单元中求解的准确性。通过与阻力和升力系数以及涡流脱落进行比较,设计出了多个球体上流动的一个重要特征。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

An efficient direct-forcing immersed boundary method for flow around a pair of spheres

An efficient direct-forcing immersed boundary method for flow around a pair of spheres

The numerical study of flow around a pair of spheres and a square array of spheres is investigated by using a direct-forcing immersed boundary method. Using high resolution three-dimensional computations, we analyzed the flow around several configurations: a sphere, a pair of spheres in a tandem arrangement with center-to-center streamwise ratio L/D ranging from 1 to 6, and a square array with 9 spheres in a uniform arrangement. In the latter case, we explore the ratio of array diameter (DG) to sphere diameter (D) at 4, 5, 6 and 7. The center-to-center streamwise and transverse pitch is the same, varied from L/D = 1.5, 2, 2.5 to 3, and they were arranged in a square periodic array to allow uniform distribution within the array. Based on the effective direct-forcing immersed boundary projection method, the fractional time marching methodology is applied for solving four field variables involving three velocities and one pressure component. The pressure Poisson equation is advanced in space by using the fast Fourier transform (FFT) and a tridiagonal matrix algorithm (TDMA), effectively solving for the diagonally dominant tridiagonal matrix equations. A direct-forcing immersed boundary method is involved to treat the interfacial terms by adding the appropriate sources as force function at the boundary, separating the phases. Geometries featuring the stationary solid obstacles in the flow are embedded in the Cartesian grid with special discretizations near the embedded boundary using a discrete Dirac delta function to ensure the accuracy of the solution in the cut cells. An important characteristic of flow over the multiple spheres is devised by comparing with the drag and lift coefficients, as well as vortex shedding.

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来源期刊
International Journal for Numerical Methods in Fluids
International Journal for Numerical Methods in Fluids 物理-计算机:跨学科应用
CiteScore
3.70
自引率
5.60%
发文量
111
审稿时长
8 months
期刊介绍: The International Journal for Numerical Methods in Fluids publishes refereed papers describing significant developments in computational methods that are applicable to scientific and engineering problems in fluid mechanics, fluid dynamics, micro and bio fluidics, and fluid-structure interaction. Numerical methods for solving ancillary equations, such as transport and advection and diffusion, are also relevant. The Editors encourage contributions in the areas of multi-physics, multi-disciplinary and multi-scale problems involving fluid subsystems, verification and validation, uncertainty quantification, and model reduction. Numerical examples that illustrate the described methods or their accuracy are in general expected. Discussions of papers already in print are also considered. However, papers dealing strictly with applications of existing methods or dealing with areas of research that are not deemed to be cutting edge by the Editors will not be considered for review. The journal publishes full-length papers, which should normally be less than 25 journal pages in length. Two-part papers are discouraged unless considered necessary by the Editors.
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