A variational volume-of-fluid approach for front propagation Article Swipe
Ali Fakhreddine
,
Karim Alamé
,
Krishnan Mahesh
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2303.15450
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2303.15450
A variational volume-of-fluid (VVOF) methodology is devised for evolving interfaces under curvature-dependent speed. The interface is reconstructed geometrically using the analytic relations of Scardovelli and Zaleski [1] and the advection of the volume fraction is performed using the algorithm of Weymouth and Yue (WY) [2] with a technique to incorporate a volume conservation constraint. The proposed approach has the advantage of simple implementation and straightforward extension to more complex systems. Canonical curves and surfaces traditionally investigated by the level set (LS) method are tested with the VVOF approach and results are compared with existing work in LS.
Related Topics
Concepts
Volume (thermodynamics)
Constraint (computer-aided design)
Curvature
Extension (predicate logic)
Simple (philosophy)
Generalization
Set (abstract data type)
Work (physics)
Computer science
Algorithm
Volume fraction
Applied mathematics
Mathematics
Mathematical optimization
Geometry
Mathematical analysis
Physics
Mechanical engineering
Engineering
Thermodynamics
Programming language
Epistemology
Philosophy
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2303.15450
- https://arxiv.org/pdf/2303.15450
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4361230440
All OpenAlex metadata
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- OpenAlex ID
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https://openalex.org/W4361230440Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2303.15450Digital Object Identifier
- Title
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A variational volume-of-fluid approach for front propagationWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2023Year of publication
- Publication date
-
2023-02-24Full publication date if available
- Authors
-
Ali Fakhreddine, Karim Alamé, Krishnan MaheshList of authors in order
- Landing page
-
https://arxiv.org/abs/2303.15450Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2303.15450Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2303.15450Direct OA link when available
- Concepts
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Volume (thermodynamics), Constraint (computer-aided design), Curvature, Extension (predicate logic), Simple (philosophy), Generalization, Set (abstract data type), Work (physics), Computer science, Algorithm, Volume fraction, Applied mathematics, Mathematics, Mathematical optimization, Geometry, Mathematical analysis, Physics, Mechanical engineering, Engineering, Thermodynamics, Programming language, Epistemology, PhilosophyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.surfaces | 73 |
| abstract_inverted_index.systems. | 69 |
| abstract_inverted_index.Canonical | 70 |
| abstract_inverted_index.advantage | 59 |
| abstract_inverted_index.advection | 29 |
| abstract_inverted_index.algorithm | 38 |
| abstract_inverted_index.extension | 65 |
| abstract_inverted_index.interface | 14 |
| abstract_inverted_index.performed | 35 |
| abstract_inverted_index.relations | 21 |
| abstract_inverted_index.technique | 47 |
| abstract_inverted_index.interfaces | 9 |
| abstract_inverted_index.Scardovelli | 23 |
| abstract_inverted_index.constraint. | 53 |
| abstract_inverted_index.incorporate | 49 |
| abstract_inverted_index.methodology | 4 |
| abstract_inverted_index.variational | 1 |
| abstract_inverted_index.conservation | 52 |
| abstract_inverted_index.investigated | 75 |
| abstract_inverted_index.geometrically | 17 |
| abstract_inverted_index.reconstructed | 16 |
| abstract_inverted_index.traditionally | 74 |
| abstract_inverted_index.implementation | 62 |
| abstract_inverted_index.straightforward | 64 |
| abstract_inverted_index.volume-of-fluid | 2 |
| abstract_inverted_index.curvature-dependent | 11 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 3 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/15 |
| sustainable_development_goals[0].score | 0.47999998927116394 |
| sustainable_development_goals[0].display_name | Life in Land |
| citation_normalized_percentile |