Ιδρυματικό Αποθετήριο
Πολυτεχνείο Κρήτης
Πολυτεχνείο Κρήτης
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| URI | http://purl.tuc.gr/dl/dias/64E73AE7-D00C-4A94-B9E9-951B0BB76CB1 | - |
| Αναγνωριστικό | https://doi.org/10.3390/w14213584 | - |
| Αναγνωριστικό | https://www.mdpi.com/2073-4441/14/21/3584 | - |
| Γλώσσα | en | - |
| Μέγεθος | 21 pages | en |
| Τίτλος | On the numerical solution of sparse linear systems emerging in finite volume discretizations of 2D Boussinesq-type models on unstructured grids | en |
| Δημιουργός | Delis Anargyros | en |
| Δημιουργός | Δελης Αναργυρος | el |
| Δημιουργός | Kazolea Maria | en |
| Δημιουργός | Καζολεα Μαρια | el |
| Δημιουργός | Gaitani Maria | en |
| Δημιουργός | Γαϊτανη Μαρια | el |
| Εκδότης | MDPI | en |
| Περίληψη | This work aims to supplement the realization and validation of a higher-order well-balanced unstructured finite volume (FV) scheme, that has been relatively recently presented, for numerically simulating weakly non-linear weakly dispersive water waves over varying bathymetries. We investigate and develop solution strategies for the sparse linear system that appears during this FV discretisation of a set of extended Boussinesq-type equations on unstructured meshes. The resultant linear system of equations must be solved at each discrete time step as to recover the actual velocity field of the flow and advance in time. The system’s coefficient matrix is sparse, un-symmetric and often ill-conditioned. Its characteristics are affected by physical quantities of the problem to be solved, such as the undisturbed water depth and the mesh topology. To this end, we investigate the application of different well-known iterative techniques, with and without the usage of preconditioners and reordering, for the solution of this sparse linear system. The iiterative methods considered are the GMRES and the BiCGSTAB, three preconditioning techniques, including different ILU factorizations and two different reordering techniques are implemented and discussed. An optimal strategy, in terms of computational efficiency and robustness, is finally proposed which combines the use of the BiCGSTAB method with the ILUT preconditioner and the Reverse Cuthill–McKee reordering. | en |
| Τύπος | Peer-Reviewed Journal Publication | en |
| Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2023-09-07 | - |
| Ημερομηνία Δημοσίευσης | 2022 | - |
| Θεματική Κατηγορία | Boussinesq-type equations | en |
| Θεματική Κατηγορία | Finite volumes | en |
| Θεματική Κατηγορία | Unstructured meshes | en |
| Θεματική Κατηγορία | Sparse matrices | en |
| Θεματική Κατηγορία | Preconditioning | en |
| Θεματική Κατηγορία | Reordering | en |
| Βιβλιογραφική Αναφορά | A. I. Delis, M. Kazolea, and M. Gaitani, “On the numerical solution of sparse linear systems emerging in finite volume discretizations of 2D Boussinesq-type models on unstructured grids,” Water, vol. 14, no. 21, Nov. 2022, doi: 10.3390/w14213584. | en |
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