A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916328917434368 |
|---|---|
| author | Bruchhäuser, Marius Paul Bause, Markus |
| author_facet | Bruchhäuser, Marius Paul Bause, Markus |
| contents | In this work, a cost-efficient space-time adaptive algorithm based on the Dual Weighted Residual (DWR) method is developed and studied for a coupled model problem of flow and convection-dominated transport. Key ingredients are a multirate approach adapted to varying dynamics in time of the subproblems, weighted and non-weighted error indicators for the transport and flow problem, respectively, and the concept of space-time slabs based on tensor product spaces for the data structure. In numerical examples the performance of the underlying algorithm is studied for benchmark problems and applications of practical interest. Moreover, the interaction of stabilization and goal-oriented adaptivity is investigated for strongly convection-dominated transport. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_02954 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport Bruchhäuser, Marius Paul Bause, Markus Numerical Analysis In this work, a cost-efficient space-time adaptive algorithm based on the Dual Weighted Residual (DWR) method is developed and studied for a coupled model problem of flow and convection-dominated transport. Key ingredients are a multirate approach adapted to varying dynamics in time of the subproblems, weighted and non-weighted error indicators for the transport and flow problem, respectively, and the concept of space-time slabs based on tensor product spaces for the data structure. In numerical examples the performance of the underlying algorithm is studied for benchmark problems and applications of practical interest. Moreover, the interaction of stabilization and goal-oriented adaptivity is investigated for strongly convection-dominated transport. |
| title | A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2212.02954 |