Computation of Topological and Geometric Properties of Iso-Surfaces I: Theory and Numerical Method
作者:
W. KOLLMANN,
J. J. LIENAU,
期刊:
International Journal of Computational Fluid Dynamics
(Taylor Available online 1997)
卷期:
Volume 8,
issue 2
页码: 83-92
ISSN:1061-8562
年代: 1997
DOI:10.1080/10618569708940796
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A numerical method for the computation of topological and geometric properties of iso-surfaces with and without boundaries is developed. It is based on triangulation and provides the Euler characteristic, the number of disjoint surface parts and geometric properties such as surface area and integrals of vector and tensor fluxes over the surface. A quantitative measure for the intrinsic topology of level surfaces is constructed using the Euler number, that is suitable for solutions of the Navier-Stokes equations. The numerical accuracy of the method is shown to be satisfactory.
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