Numerical simulation of two-dimensional flows over a circular cylinder using the immersed boundary method
Numerical simulation of two-dimensional flows over a circular cylinder using the immersed boundary method
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DOI：
10.1016/s0021-9991(03)00214-6
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发表时间：
2003-08
影响因子：
4.1
通讯作者：
A.L.F. Lima E Silva;A. Silveira-Neto;J.J.R. Damasceno
中科院分区：
文献类型：
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作者：
A.L.F. Lima E Silva;A. Silveira-Neto;J.J.R. Damasceno
本文应用虚边界法对均匀绕流圆柱进行了数值模拟。在二维Navier-Stokes方程中加入力源项，保证了在体-液界面上施加无滑移边界条件。这些方程离散，使用有限差分法。浸入边界由分布在固液界面上的有限个拉格朗日点表示。一个笛卡尔网格被用来解决流体流动方程。关键的想法是提出一种方法来计算界面力，没有特别的常数，通常应调整的类型的流和类型的数值方法，当使用这种模型。在目前的工作中，这个力的计算使用的Navier-Stokes方程应用到拉格朗日点，然后分布在欧拉网格。这种方法的主要优点是，即使界面正在移动或变形，也可以计算该力场。没有必要将欧拉网格点定位在该浸入边界附近。的升力和阻力系数和斯特劳哈尔数，计算的浸没圆柱体，与以前的实验和数值计算结果进行比较，对于不同的雷诺数。
In this work, a virtual boundary method is applied to the numerical simulation of a uniform flow over a cylinder. The force source term, added to the two-dimensional Navier–Stokes equations, guarantees the imposition of the no-slip boundary condition over the body–fluid interface. These equations are discretized, using the finite differences method. The immersed boundary is represented with a finite number of Lagrangian points, distributed over the solid–fluid interface. A Cartesian grid is used to solve the fluid flow equations. The key idea is to propose a method to calculate the interfacial force without ad hoc constants that should usually be adjusted for the type of flow and the type of the numerical method, when this kind of model is used. In the present work, this force is calculated using the Navier–Stokes equations applied to the Lagrangian points and then distributed over the Eulerian grid. The main advantage of this approach is that it enables calculation of this force field, even if the interface is moving or deforming. It is unnecessary to locate the Eulerian grid points near this immersed boundary. The lift and drag coefficients and the Strouhal number, calculated for an immersed cylinder, are compared with previous experimental and numerical results, for different Reynolds numbers.