Numerical Methods for Multiple Inviscid Interfaces in Creeping Flows
Numerical Methods for Multiple Inviscid Interfaces in Creeping Flows
复制标题
蠕动流中多个无粘界面的数值方法
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
M. Kropinski
中科院分区：
文献类型：
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作者：
M. Kropinski
我们提出了新的，高精度的，和有效的方法来计算大量的二维封闭界面在缓慢的粘性流的运动。界面速度是通过一个积分方程的解析公式是基于复变量理论的双调和方程的解决方案。求解积分方程的数值方法是谱精确的，并采用基于快速多极的迭代求解过程，这只需要O（N）操作，其中N是在界面的离散化节点的数量。的接口描述光谱，我们使用的演化方程，保持相等的弧长间距的标记点。我们假设，在一侧的界面上的流体是无粘性的，我们讨论了两种不同的物理现象：气泡动力学和界面运动驱动的表面张力（粘性烧结）。从浮力驱动的气泡相互作用，多分散气泡在拉伸流中的运动，并通过粘性烧结去除空隙空间的应用程序被认为是和我们提出了大规模的，完全解决的模拟涉及O（100）封闭接口。
We present new, highly accurate, and efficient methods for computing the motion of a large number of two-dimensional closed interfaces in a slow viscous flow. The interfacial velocity is found through the solution to an integral equation whose analytic formulation is based on complex-variable theory for the biharmonic equation. The numerical methods for solving the integral equations are spectrally accurate and employ a fast multipole-based iterative solution procedure, which requires only O(N) operations where N is the number of nodes in the discretization of the interface. The interface is described spectrally, and we use evolution equations that preserve equal arclength spacing of the marker points. We assume that the fluid on one side of the interface is inviscid and we discuss two different physical phenomena: bubble dynamics and interfacial motion driven by surface tension (viscous sintering). Applications from buoyancy-driven bubble interactions, the motion of polydispersed bubbles in an extensional flow, and the removal of void spaces through viscous sintering are considered and we present large-scale, fully resolved simulations involving O(100) closed interfaces.