一种具有改进质量守恒和减少虚假压力振荡的尖锐界面浸入边界方法。
A Sharp-Interface Immersed Boundary Method with Improved Mass Conservation and Reduced Spurious Pressure Oscillations.
作者信息
Seo Jung Hee, Mittal Rajat
机构信息
Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD, 21218.
出版信息
J Comput Phys. 2011 Aug 10;230(19):7347-7363. doi: 10.1016/j.jcp.2011.06.003.
A method for reducing the spurious pressure oscillations observed when simulating moving boundary flow problems with sharp-interface immersed boundary methods (IBMs) is proposed. By first identifying the primary cause of these oscillations to be the violation of the geometric conservation law near the immersed boundary, we adopt a cut-cell based approach to strictly enforce geometric conservation. In order to limit the complexity associated with the cut-cell method, the cut-cell based discretization is limited only to the pressure Poisson and velocity correction equations in the fractional-step method and the small-cell problem tackled by introducing a virtual cell-merging technique. The method is shown to retain all the desirable properties of the original finite-difference based IBM while at the same time, reducing pressure oscillations for moving boundaries by roughly an order of magnitude.
提出了一种在使用锐界面浸入边界方法（IBMs）模拟移动边界流动问题时减少虚假压力振荡的方法。通过首先确定这些振荡的主要原因是浸入边界附近违反了几何守恒定律，我们采用基于切割单元的方法来严格执行几何守恒。为了限制与切割单元方法相关的复杂性，基于切割单元的离散化仅限于分数步法中的压力泊松方程和速度校正方程，以及通过引入虚拟单元合并技术解决的小单元问题。结果表明，该方法保留了原始基于有限差分的IBMs的所有理想特性，同时将移动边界的压力振荡降低了大约一个数量级。
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