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首页> 外文期刊>Journal of Computational Physics >A Fourier spectral method for the Navier-Stokes equations with volume penalization for moving solid obstacles
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A Fourier spectral method for the Navier-Stokes equations with volume penalization for moving solid obstacles

机译：移动固体障碍物的体积罚分的Navier-Stokes方程的Fourier谱方法

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摘要

An efficient numerical scheme to compute flows past rigid solid bodies moving through viscous incompressible fluid is presented. Solid obstacles of arbitrary shape are taken into account using the volume penalization method to impose no-slip boundary condition. The 2D Navier-Stokes equations, written in the vorticity-streamfunction formulation, are discretized using a Fourier pseudo-spectral scheme. Four different time discretization schemes of the penalization term are proposed and compared. The originality of the present work lies in the implementation of time-dependent penalization, which makes the above method capable of solving problems where the obstacle follows an arbitrary motion. Fluid-solid coupling for freely falling bodies is also implemented. The numerical method is validated for different test cases: the flow past a cylinder, Couette flow between rotating cylinders, sedimentation of a cylinder and a falling leaf with elliptical shape.
机译：提出了一种有效的数值方案，用于计算通过粘性固体流动通过粘性不可压缩流体的流量。使用体积罚分法考虑了任意形状的固体障碍物，以施加防滑边界条件。使用傅立叶拟谱方法离散化以涡流函数公式编写的二维Navier-Stokes方程。提出并比较了惩罚项的四种不同的时间离散方案。本发明的新颖之处在于实现了时间相关的惩罚，这使得上述方法能够解决障碍物跟随任意运动的问题。还实现了用于自由落体的流固耦合。数值方法在不同的测试案例中得到了验证：流过圆柱体的流量，旋转圆柱体之间的库埃特流量，圆柱体的沉降和椭圆形的落叶。

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