Vorticity vector-potential method based on time-dependent curvilinear coordinates for two-dimensional rotating flows in closed configurations
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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 wordsRotating driven flow time-dependent curvilinear coordinate geostrophic effect unsteady effect curvature effect
- Xie X. L. Modern Tensor analysis with applications in continuum mechanics [M]. Shanghai, China: Fudan University Press, 2014(in Chinese).Google Scholar
- Wu J. Z., Ma H. Y., Zhou M. D. Vorticity and vortex dynamics [M]. Berlin, Heidelberg, Germany: Springer, 2005.Google Scholar
- Dubrovin B. A., Fomenko A. T., Novikov S. P. Modern geometry-methods and applications [M]. Berlin, Heidelberg, Germany: Springr-Verlag, 2011.Google Scholar