Numerical simulation of micro ows with moving obstacles
Numerical simulation of micro ows with moving obstacles
复制标题
具有移动障碍物的微流的数值模拟
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
L. Mieussens
中科院分区：
文献类型：
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作者：
G. Dechrist;L. Mieussens
我们提出了一种计算非定常稀薄气体微流的数值方法，在具有移动边界的域中，考虑到微或真空系统中移动结构的复杂计算的应用。用Boltzman方程的Bhatnagar-Gross-Krook（BGK）模型描述了OW。一个标准的方法来模拟不可压缩粘性流动与移动边界是浸入边界法。在这项工作中，我们提出了这种方法的扩展到一个确定性的模拟罕见的OWS。浸入边界方法包括在整个沿着计算过程中保持相同的网格：网格的每个单元格在所有时间步长内保持固定，而气体占据的区域发生变化。该方法避免了网格移动和网格重划的方法，易于应用于复杂几何问题。该方法已被测试与镜面和diuse边界条件，并已验证了几个一维问题（移动活塞，致动器等）。据我们所知，这是第一次提出一种确定性的模拟方法，基于浸入边界法的运动障碍物的罕见的流。
We present a numerical method for computing unsteady rareed gas micro ows, in domains with moving boundaries, in view of applications to complex computations of moving structures in micro or vacuum systems. The ow is described by the Bhatnagar-Gross-Krook (BGK) model of the Boltzman equation. A standard approach to simulate incompressible viscous ows with moving boundaries is the immersed boundary method. In this work, we propose an extension of this approach to a deterministic simulation of rareed ows. The immersed boundary approach consists in keeping the same mesh all along the calculation: every cell of the mesh remains xed for all time steps while the domain occupied by the gas changes. This strategy avoids to use moving meshes and remeshing approaches, and should be easily applied to problems with complex geometries. The method has been tested with both specular and diuse boundary conditions and has been validated on several 1D problems (moving piston, actuator, etc.). Up to our knowledge, this is the rst time that a deterministic simulation method for rareed ows with moving obstacles based on the immersed boundary method is presented.