A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane
A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane
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DOI：
10.1016/s0893-9659(00)00127-0
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发表时间：
2001-02-01
影响因子：
3.7
通讯作者：
Li, ZL
中科院分区：
文献类型：
--
作者：
Lai, MC;Li, ZL
推导了不可压缩流体中浸没运动薄膜上的压力、速度及其法向导数的跳跃条件。这种不连续性是由于沿薄膜沿着的奇异力引起的。代替使用δ函数公式，这些跳跃条件可以用于以替代形式来公式化控制方程。这也有助于发展更精确的数值方法，如含运动界面的Navier-Stokes方程的浸入界面方法。(C)2000爱思唯尔科技有限公司版权所有。
Jump conditions for the pressure, the velocity, and their normal derivatives across an immersed moving membrane in an incompressible fluid are derived. The discontinuities are due to the singular forces along the membrane. Instead of using the delta function formulation, those jump conditions can be used to formulate the governing equations in an alternative form. It is also useful for developing more accurate numerical methods such as immersed interface method for the Navier-Stokes equations involving moving interface. (C) 2000 Elsevier Science Ltd. All rights reserved.