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A robust algorithm for implicit description of immersed geometries within a background mesh

Author
Baumgaertner, D.; Wolf, J.; Rossi, R.; Dadvand, P.; Wüchner, R.
Type of activity
Journal article
Journal
Advanced modeling and simulation in engineering sciences
Date of publication
2018-12
Volume
5
Number
1
First page
1
Last page
40
DOI
https://doi.org/10.1186/s40323-018-0113-8 Open in new window
Repository
http://hdl.handle.net/2117/121253 Open in new window
URL
https://link.springer.com/article/10.1186/s40323-018-0113-8 Open in new window
Abstract
The paper presents a robust algorithm, which allows to implicitly describe and track immersed geometries within a background mesh. The background mesh is assumed to be unstructured and discretized by tetrahedrons. The contained geometry is assumed to be given as triangulated surface. Within the background mesh, the immersed geometry is described implicitly using a discontinuous distance function based on a level-set approach. This distance function allows to consider both, “double-sided” geo...
Citation
Baumgaertner, D., Wolf, J., Rossi, R., Dadvand, P., Wüchner, R. A robust algorithm for implicit description of immersed geometries within a background mesh. "Advanced modeling and simulation in engineering sciences", Desembre 2018, vol. 5, núm. 1, p. 1-40.
Keywords
Immersed boundary method Implicit geometry description Embedded geometry Boundary tracking Distance function Level-set approach Local best-fit approximation Ray casting Adaptive mesh refinement
Group of research
(MC)2 - UPC Computational continuum mechanics
GMNE - Numerical Methods in Engineering Group
RMEE - Strength of Materials and Structural Engineering Research Group

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