Conservation equations of gasdynamics in curvilinear coordinate systems

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Abstract

This paper presents a new method of writing the conservation equations of gasdynamics in curvilinear coordinates which eliminates undifferentiated terms. One canthus readily apply difference schemes derived for Cartesian coordinates which conserve mass, momentum, and energy in the total flow field. The method is derived for orthogonal coordinates, and then extended to cover the most general class of coordinate transformations, using general tensor analysis. Several special features of the equations are discussed.

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This research was supported by NASA-Ames Research Center under the Consortium Agreement, Collaboration Research Interchange No. SCC-301.

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