含边界层旋转槽道流动的新有限体积法
New Finite Volume Method for rotating channel flows involving boundary layers
摘要：
本文研究流体在中等旋转条件下，当粘度较小时出现的边界层。流体由旋转型斯托克斯方程模拟，在原始方程理论中也称为正压模式方程。首先，我们推导出描述大雷诺数下急剧变化的校正器（即，粘度小）。其次，利用一种新的有限体积法（NFVM），我们给出了小粘性下旋转Stokes系统的数值解。NFVM可以应用于一大类奇异扰动问题。
英文摘要：
We investigate in this article the boundary layers appearing for a fluid under moderate rotation when the viscosity is small. The fluid is modeled by rotating type Stokes equations known also as the Barotropric mode equations in the primitive equations theory. First we derive the correctors that describe the sharp variations at large Reynolds number (i.e., small viscosity). Second, thanks to a new finite volume method (NFVM) we give numerical solutions of the rotating Stokes system at small viscosity. The NFVM can be applied to a large class of singular perturbation problems.
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