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

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.

Show me the PDF file (134K), TEX file, and other files for this article.

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

Return to the Proceedings of Conferences: Electr. J. Diff. Eqns.