Please use this identifier to cite or link to this item:
http://dx.doi.org/10.25673/38744
Title: | Height-function curvature estimation with arbitrary order on non-uniform Cartesian grids |
Author(s): | Evrard, Fabien Denner, Fabian Wachem, Berend ![]() |
Issue Date: | 2020 |
Type: | Article |
Language: | English |
URN: | urn:nbn:de:gbv:ma9:1-1981185920-389908 |
Subjects: | Curvature Volume-of-fluid Height-function Non-uniform grid Arbitrary order |
Abstract: | This paper proposes a height-function algorithm to estimate the curvature of two-dimensional curves and three-dimensional surfaces that are defined implicitly on two-and three-dimensional non-uniform Cartesian grids. It relies on the reconstruction of local heights, onto which polynomial height-functions are fitted. The algorithm produces curva-ture estimates of order N−1anywhere in a stencil of (N+1)d−1heights computed from the volume-fraction data available on a d-dimensional non-uniform Cartesian grid. These estimates are of order Nat the centre of the stencil when it is symmetric about its main axis. This is confirmed by a comprehensive convergence analysis conducted on the errors associated with the application of the algorithm to a fabricated test-curve and test-surface. |
URI: | https://opendata.uni-halle.de//handle/1981185920/38990 http://dx.doi.org/10.25673/38744 |
Open Access: | ![]() |
License: | ![]() |
Sponsor/Funder: | OVGU-Publikationsfonds 2020 |
Journal Title: | Journal of computational physics: X |
Publisher: | Elsevier |
Publisher Place: | Amsterdam |
Volume: | 7 |
Issue: | 2020 |
Original Publication: | 10.1016/j.jcpx.2020.100060 |
Page Start: | 1 |
Page End: | 15 |
Appears in Collections: | Fakultät für Verfahrens- und Systemtechnik (OA) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Evrard et al._Height-function_2020.pdf | Zweitveröffentlichung | 2.59 MB | Adobe PDF | ![]() View/Open |