Level-Set field re-initialization: A computational model with finite element method on complicated domains
This paper introduces a proficient re-initialization method for the Level-Set (LS) field with the Finite Element Method (FEM) framework on unstructured meshes. The technique can retain the LS field's signed distance (SD) property but exploits the Eulerian-Lagrange multiplier technique. The sche...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-06-01
|
| Series: | MethodsX |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2215016125001591 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849419526648627200 |
|---|---|
| author | Umer Siddiqui Fahim Raees |
| author_facet | Umer Siddiqui Fahim Raees |
| author_sort | Umer Siddiqui |
| collection | DOAJ |
| description | This paper introduces a proficient re-initialization method for the Level-Set (LS) field with the Finite Element Method (FEM) framework on unstructured meshes. The technique can retain the LS field's signed distance (SD) property but exploits the Eulerian-Lagrange multiplier technique. The scheme is based on geometric re-initialization and integrated with the FEM to higher-degree polynomials on complex domains. Numerical benchmark tests indicate the effectiveness and efficiency of the presented method, which also victoriously preserves the LS field's mass effectively, demonstrating its high performance. • Enriched LS method simulations using efficient re-initialization with the FEM in complex domains. • Based on geometry, the re-initialization scheme efficiently preserves the LS mass and applies to the higher-degree polynomials of the complex domains. • The efficiency and effectiveness of the method revealed by the benchmark trials. |
| format | Article |
| id | doaj-art-c0c7a26811d04fb1a5d474610f28b02a |
| institution | Kabale University |
| issn | 2215-0161 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | MethodsX |
| spelling | doaj-art-c0c7a26811d04fb1a5d474610f28b02a2025-08-20T03:32:03ZengElsevierMethodsX2215-01612025-06-011410331310.1016/j.mex.2025.103313Level-Set field re-initialization: A computational model with finite element method on complicated domainsUmer Siddiqui0Fahim Raees1Department of Mathematics, NED University of Engineering and Technology, Karachi, PakistanCorresponding author.; Department of Mathematics, NED University of Engineering and Technology, Karachi, PakistanThis paper introduces a proficient re-initialization method for the Level-Set (LS) field with the Finite Element Method (FEM) framework on unstructured meshes. The technique can retain the LS field's signed distance (SD) property but exploits the Eulerian-Lagrange multiplier technique. The scheme is based on geometric re-initialization and integrated with the FEM to higher-degree polynomials on complex domains. Numerical benchmark tests indicate the effectiveness and efficiency of the presented method, which also victoriously preserves the LS field's mass effectively, demonstrating its high performance. • Enriched LS method simulations using efficient re-initialization with the FEM in complex domains. • Based on geometry, the re-initialization scheme efficiently preserves the LS mass and applies to the higher-degree polynomials of the complex domains. • The efficiency and effectiveness of the method revealed by the benchmark trials.http://www.sciencedirect.com/science/article/pii/S2215016125001591Re-initialization scheme for the Level-Set (LS) method |
| spellingShingle | Umer Siddiqui Fahim Raees Level-Set field re-initialization: A computational model with finite element method on complicated domains MethodsX Re-initialization scheme for the Level-Set (LS) method |
| title | Level-Set field re-initialization: A computational model with finite element method on complicated domains |
| title_full | Level-Set field re-initialization: A computational model with finite element method on complicated domains |
| title_fullStr | Level-Set field re-initialization: A computational model with finite element method on complicated domains |
| title_full_unstemmed | Level-Set field re-initialization: A computational model with finite element method on complicated domains |
| title_short | Level-Set field re-initialization: A computational model with finite element method on complicated domains |
| title_sort | level set field re initialization a computational model with finite element method on complicated domains |
| topic | Re-initialization scheme for the Level-Set (LS) method |
| url | http://www.sciencedirect.com/science/article/pii/S2215016125001591 |
| work_keys_str_mv | AT umersiddiqui levelsetfieldreinitializationacomputationalmodelwithfiniteelementmethodoncomplicateddomains AT fahimraees levelsetfieldreinitializationacomputationalmodelwithfiniteelementmethodoncomplicateddomains |