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Numerical approximation of flow in a symmetric channel with vibrating walls

机译：带有振动壁的对称通道中流动的数值近似

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In this paper the numerical solution of two dimensional fluid-structure interaction problem is addressed. The fluid motion is modelled by the incompressible unsteady Navier-Stokes equations. The spatial discretization by stabilized finite element method is used. The motion of the computational domain is treated with the aid of Arbitrary Lagrangian Eulerian (ALE) method. The time-space problem is solved with the aid of multigrid method. The method is applied onto a problem of interaction of channel flow with moving walls, which models the air flow in the glottal region of the human vocal tract. The pressure boundary conditions and the effects of the isotropic and anisotropic mesh refinement are discussed. The numerical results are presented.
机译：本文提出了二维流固耦合问题的数值解。流体运动是通过不可压缩的非稳态Navier-Stokes方程建模的。使用稳定有限元方法进行空间离散化。计算域的运动借助任意拉格朗日欧拉（ALE）方法进行处理。时空问题借助多重网格方法得以解决。该方法应用于通道流与活动壁相互作用的问题，该问题模拟了人声道的声门区域中的气流。讨论了压力边界条件以及各向同性和各向异性网格细化的影响。给出了数值结果。

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