Szczegóły publikacji
Opis bibliograficzny
Parallel graph-grammar-based algorithm for the longest-edge refinement of triangular meshes and the pollution simulations in Lesser Poland area / Krzysztof PODSIADŁO, Albert Oliver Serra, Anna Paszyńska, Rafael Montenegro, Ian Henriksen, Maciej PASZYŃSKI, Keshav Pingali // Engineering with Computers ; ISSN 0177–0667 . — 2021 — vol. 37 iss. 4, s. 3857–3880. — Bibliogr. s. 3879–3880, Abstr. — Publikacja dostępna online od: 2021-01-22
Autorzy (7)
- AGHPodsiadło Krzysztof
- Oliver-Serra Albert
- Paszyńska Anna
- Montenegro Rafael
- Henriksen Ian
- AGHPaszyński Maciej
- Pingali Keshav
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 136262 |
|---|---|
| Data dodania do BaDAP | 2021-09-23 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00366-020-01253-y |
| Rok publikacji | 2021 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Engineering with Computers |
Abstract
In this paper, we propose parallel graph-grammar-based algorithm for the longest-edge refinements and the pollution simulations in Lesser Poland area. We introduce graph-grammar productions for Rivara's longest-edged algorithm for the local refinement of unstructured triangular meshes. We utilize the hyper-graph to represent the computational mesh and the graph-grammar productions to express the longest-edge mesh refinement algorithm. The parallelism in the original Rivara's longest edge refinement algorithm is obtained by processing different longest edge refinement paths in different three ads. Our graph-grammar-based algorithm allows for additional parallelization within a single longest-edge refinement path. The graph-grammar-based algorithm automatically guarantees the validity and conformity of the generated mesh; it prevents the generation of duplicated nodes and edges, elongated elements with Jacobians converging to zero, and removes all the hanging nodes automatically from the mesh. We test the algorithm on generating a surface mesh based on a topographic data of Lesser Poland area. The graph-grammar productions also generate the layers of prismatic three-dimensional elements on top of the triangular mesh, and they break each prismatic element into three tetrahedral elements. Next, we propose graph-grammar productions generating element matrices and right-hand-side vectors for each tetrahedral element. We utilize the Streamline Upwind Petrov-Galerkin (SUPG) stabilization for the pollution propagation simulations in Lesser Poland area. We use the advection-diffusion-reaction model, the Crank-Nicolson time integration scheme, and the graph-grammar-based interface to the GMRES solver.
