具有不连续粘度、奇异力及不可压缩界面的 Stokes 方程三维跳跃条件
流体动力学
2013-09-09 v1 数值分析
摘要
本文推导了 Stokes 流态下，跨越不可压缩/不可伸展界面的压力场和速度场直至二阶法向导数的三维跳跃条件。流体粘度在域内仅为分段连续，而嵌入界面对周围流体施加奇异力。这导致压力和速度场出现不连续解。这些跳跃条件是开发用于求解此类情况下 Stokes 方程的精确数值方法（如浸没界面法）所必需的。
引用
@article{arxiv.1309.1728,
title = {The Three-Dimensional Jump Conditions for the Stokes Equations with Discontinuous Viscosity, Singular Forces, and an Incompressible Interface},
author = {Prerna Gera and David Salac},
journal= {arXiv preprint arXiv:1309.1728},
year = {2013}
}
备注
17 pages, 6 figures, This work was supported by the University at Buffalo SUNY and NSF Award #1253739