On the accuracy assessment of Laplacian models in MPS
From the basis of the Gauss divergence theorem applied on a circular control volume that was put forward by Isshiki (2011) in deriving the MPS-based differential operators, a more general Laplacian model is further deduced from the current work which involves the proposal of an altered kernel functi...
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Elsevier
2023
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| author | Ng K.C. Hwang Y.H. Sheu T.W.H. |
| author2 | 55310814500 |
| author_facet | 55310814500 Ng K.C. Hwang Y.H. Sheu T.W.H. |
| author_sort | Ng K.C. |
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| collection | Institutional Repository |
| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | From the basis of the Gauss divergence theorem applied on a circular control volume that was put forward by Isshiki (2011) in deriving the MPS-based differential operators, a more general Laplacian model is further deduced from the current work which involves the proposal of an altered kernel function. The Laplacians of several functions are evaluated and the accuracies of various MPS Laplacian models in solving the Poisson equation that is subjected to both Dirichlet and Neumann boundary conditions are assessed. For regular grids, the Laplacian model with smaller N is generally more accurate, owing to the reduction of leading errors due to those higher-order derivatives appearing in the modified equation. For irregular grids, an optimal N value does exist in ensuring better global accuracy, in which this optimal value of N will increase when cases employing highly irregular grids are computed. Finally, the accuracies of these MPS Laplacian models are assessed in an incompressible flow problem. © 2014 Elsevier B.V. All rights reserved. |
| format | Article |
| id | my.uniten.dspace-22072 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2023 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | my.uniten.dspace-220722023-05-16T10:47:09Z On the accuracy assessment of Laplacian models in MPS Ng K.C. Hwang Y.H. Sheu T.W.H. 55310814500 7402311620 13302578200 From the basis of the Gauss divergence theorem applied on a circular control volume that was put forward by Isshiki (2011) in deriving the MPS-based differential operators, a more general Laplacian model is further deduced from the current work which involves the proposal of an altered kernel function. The Laplacians of several functions are evaluated and the accuracies of various MPS Laplacian models in solving the Poisson equation that is subjected to both Dirichlet and Neumann boundary conditions are assessed. For regular grids, the Laplacian model with smaller N is generally more accurate, owing to the reduction of leading errors due to those higher-order derivatives appearing in the modified equation. For irregular grids, an optimal N value does exist in ensuring better global accuracy, in which this optimal value of N will increase when cases employing highly irregular grids are computed. Finally, the accuracies of these MPS Laplacian models are assessed in an incompressible flow problem. © 2014 Elsevier B.V. All rights reserved. Final 2023-05-16T02:47:08Z 2023-05-16T02:47:08Z 2014 Article 10.1016/j.cpc.2014.05.012 2-s2.0-84904723233 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84904723233&doi=10.1016%2fj.cpc.2014.05.012&partnerID=40&md5=7b9976c4bbc94437c88739b9e1691514 https://irepository.uniten.edu.my/handle/123456789/22072 185 10 2412 2426 Elsevier Scopus |
| spellingShingle | Ng K.C. Hwang Y.H. Sheu T.W.H. On the accuracy assessment of Laplacian models in MPS |
| title | On the accuracy assessment of Laplacian models in MPS |
| title_full | On the accuracy assessment of Laplacian models in MPS |
| title_fullStr | On the accuracy assessment of Laplacian models in MPS |
| title_full_unstemmed | On the accuracy assessment of Laplacian models in MPS |
| title_short | On the accuracy assessment of Laplacian models in MPS |
| title_sort | on the accuracy assessment of laplacian models in mps |
| url_provider | http://dspace.uniten.edu.my/ |