2D vorticity and stream function solutions based on curvilinear coordinates

X. L. Xie; W. W. Mar

doi:10.1117/12.468772

29 May 2002 2D vorticity and stream function solutions based on curvilinear coordinates

X. L. Xie, W. W. Mar

Proceedings Volume 4537, Third International Conference on Experimental Mechanics; (2002) https://doi.org/10.1117/12.468772
Event: Third International Conference on Experimental Mechanics, 2002, Beijing, China

Abstract

The governing equations of 2D velocity and stream function expanded in general curvilinear coordinates base don tensor calculus are attained. The numerical algorithms of covariant, anti-covariant metric tensor and Christoffel symbols of the first and second kinds are described in this paper. This method could be extended readily to arbitrary stream surfaces.

Citation Download Citation

X. L. Xie and W. W. Mar "2D vorticity and stream function solutions based on curvilinear coordinates", Proc. SPIE 4537, Third International Conference on Experimental Mechanics, (29 May 2002); https://doi.org/10.1117/12.468772

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