Journal of Hydrodynamics

, Volume 30, Issue 2, pp 218–234

# Vorticity vector-potential method based on time-dependent curvilinear coordinates for two-dimensional rotating flows in closed configurations

• Yuan Fu (傅 渊)
• Da-peng Zhang (张大鹏)
• Xi-lin Xie (谢锡麟)
Article

## Abstract

In this study, a vorticity vector-potential method for two-dimensional viscous incompressible rotating driven flows is developed in the time-dependent curvilinear coordinates. The method is applicable in both inertial and non-inertial frames of reference with the advantage of a fixed and regular calculation domain. The numerical method is applied to triangle and curved triangle configurations in constant and varying rotational angular velocity cases respectively. The evolutions of flow field are studied. The geostrophic effect, unsteady effect and curvature effect on the evolutions are discussed.

## Key words

Rotating driven flow time-dependent curvilinear coordinate geostrophic effect unsteady effect curvature effect

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© China Ship Scientific Research Center 2018

## Authors and Affiliations

• Yuan Fu (傅 渊)
• 1
• Da-peng Zhang (张大鹏)
• 1
• Xi-lin Xie (谢锡麟)
• 1
1. 1.Department of Aeronautics and AstronauticsFudan UniversityShanghaiChina