Exact computation of the color function for triangular element interfaces
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915095543545856 |
|---|---|
| author | Pan, Jieyun Bi, Désir-André Koffi Kottilingal, Ahmed Basil Costanzo, Serena Lu, Jiacai Ling, Yue Scardovelli, Ruben Tryggvason, Grétar Zaleski, Stéphane |
| author_facet | Pan, Jieyun Bi, Désir-André Koffi Kottilingal, Ahmed Basil Costanzo, Serena Lu, Jiacai Ling, Yue Scardovelli, Ruben Tryggvason, Grétar Zaleski, Stéphane |
| contents | The calculation of the volume enclosed by curved surfaces discretized into triangular elements, and a cube is of great importance in different domains, such as computer graphics and multiphase flow simulations. We propose a robust algorithm, the Front2VOF (F2V) algorithm, to address this problem. The F2V algorithm consists of two main steps. First, it identifies the polygons within the cube by segmenting the triangular elements on the surface, retaining only the portions inside the cube boundaries. Second, it computes the volume enclosed by these polygons in combination with the cube faces. To validate the algorithm's accuracy and robustness, we tested it using a range of synthetic configurations with known analytical solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04744 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact computation of the color function for triangular element interfaces Pan, Jieyun Bi, Désir-André Koffi Kottilingal, Ahmed Basil Costanzo, Serena Lu, Jiacai Ling, Yue Scardovelli, Ruben Tryggvason, Grétar Zaleski, Stéphane Graphics The calculation of the volume enclosed by curved surfaces discretized into triangular elements, and a cube is of great importance in different domains, such as computer graphics and multiphase flow simulations. We propose a robust algorithm, the Front2VOF (F2V) algorithm, to address this problem. The F2V algorithm consists of two main steps. First, it identifies the polygons within the cube by segmenting the triangular elements on the surface, retaining only the portions inside the cube boundaries. Second, it computes the volume enclosed by these polygons in combination with the cube faces. To validate the algorithm's accuracy and robustness, we tested it using a range of synthetic configurations with known analytical solutions. |
| title | Exact computation of the color function for triangular element interfaces |
| topic | Graphics |
| url | https://arxiv.org/abs/2501.04744 |