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Curvature Flow and Entropy Conditions Applied to Grid Generation

✍ Scribed by J.A. Sethian

Book ID
102970388
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
778 KB
Volume
115
Category
Article
ISSN
0021-9991

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✦ Synopsis

We describe a numerical technique to generate logically rectangular body-fitted interior and exterior grids. The technique is based on solving a Hamilton-Jacobi-type equation for a propagating level set function, using techniques borrowed from hyperbolic conservation laws. Coordinate grid lines are kept smooth through curvature terms which regularize the equation of motion, and upwind difference schemes which satisfy the correct entropy conditions of front propagation. The resulting algorithm can be used to generate twoand three-dimensional interior and exterior grids around reasonably complex bodies which may contain sharp corners and significant variations in curvature. The technique may also be easily extended to problems of boundary-fitted moving gricls. 1994 Acnclenuic: Press, fres.

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