Differential Equations and Computational Simulations III
Electron. J. Diff. Eqns., Conf. 01, 1997, pp. 149-157.

Governing equations of fluid mechanics in physical curvilinear coordinate system

Swungho Lee & Bharat K. Soni

Abstract:
This paper presents the development of unsteady three-dimensional incompressible Navier-Stokes and Reynolds-averaged Navier-Stokes equations in an unsteady physical curvilinear coordinate system. It is demonstrated that the numerical simulations based on governing equations in a physical curvilinear coordinate system are less mesh sensitive than other schemes.

Published November 12, 1998.
Mathematics Subject Classifications: 65N30, 35Q30.
Key words and phrases: Physical curvilinear coordinate systems, incompressible flows, transformations.

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Swungho Lee
Hydrodynamics Research Dept.,
Hyundai Maritime Research Institute,
1, Cheonha-Dong, Dong-Ku, Ulsan, Korea
E-mail address: slee@hhi.co.kr
Bharat K. Soni
Department of Aerospace Engineering
Mississippi State University
Mississippi State, MS 39210 USA
E-mail address: bsoni@erc.msstate.edu

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