COMPUTATION OF TOPOLOGICAL AND GEOMETRIC-PROPERTIES OF ISO-SURFACES .1. THEORY AND NUMERICAL-METHOD

Authors
KOLLMANN W LIENAU JJ
Citation
W. Kollmann et Jj. Lienau, COMPUTATION OF TOPOLOGICAL AND GEOMETRIC-PROPERTIES OF ISO-SURFACES .1. THEORY AND NUMERICAL-METHOD, International journal of computational fluid dynamics, 8(2), 1997, pp. 83-92
Citations number
19
Categorie Soggetti
Phsycs, Fluid & Plasmas",Mechanics
Journal title
International journal of computational fluid dynamics → ACNP
ISSN journal
10618562
Volume
8
Issue
2
Year of publication
1997
Pages
83 - 92
Database
ISI
SICI code
1061-8562(1997)8:2<83:COTAGO>2.0.ZU;2-Q
Abstract
A numerical method for the computation of topological and geometric pr operties of iso-surfaces with and without boundaries is developed. It is based on triangulation and provides the Euler characteristic, the n umber of disjoint surface parts and geometric properties such as surfa ce area and integrals of vector and tensor fluxes over the surface. A quantitative measure for the intrinsic topology of level surfaces is c onstructed using the Euler number, that is suitable for solutions of t he Navier-Stokes equations. The numerical accuracy of the method is sh own to be satisfactory.