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Highly Energy-Conservative Finite Difference Method for the Cylindrical Coordinate System

✍ Scribed by Koji Fukagata; Nobuhide Kasagi

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 251 KB
Volume: 181
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.2002.7138

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✦ Synopsis

A highly energy-conservative second-order-accurate finite difference method for the cylindrical coordinate system is developed. It is rigorously proved that energy conservation in discretized space is satisfied when appropriate interpolation schemes are used. This argument holds not only for an unequally spaced mesh but also for an equally spaced mesh on cylindrical coordinates but not on Cartesian coordinates. Numerical tests are undertaken for an inviscid flow with various schemes, and it turns out that the proposed scheme offers a superior energy-conservation property and greater stability than the intuitive and previously proposed methods, for both equally spaced and unequally spaced meshes.

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