The effect of grid skewness on non-unified compact residual distribution methods for scalar advection diffusion problems
In this paper, the newly developed residual distribution (RD) method called the Flux- Difference approach is combined with the Galerkin method to solve the advectiondiffusion equation in separate (non-unified) manner. It is due to the incapability of variation grid skewness in finite volume. This Fl...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Penerbit Akademia Baru
2020
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| Online Access: | http://eprints.uthm.edu.my/6300/1/AJ%202020%20%28260%29.pdf |
| _version_ | 1796869343636619264 |
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| author | Aminnuddin, Hazim Fadli Ismail, Farzad Mohammed, Akmal Nizam Abdullah, Kamil |
| author_facet | Aminnuddin, Hazim Fadli Ismail, Farzad Mohammed, Akmal Nizam Abdullah, Kamil |
| author_sort | Aminnuddin, Hazim Fadli |
| collection | UTHM |
| description | In this paper, the newly developed residual distribution (RD) method called the Flux- Difference approach is combined with the Galerkin method to solve the advectiondiffusion equation in separate (non-unified) manner. It is due to the incapability of variation grid skewness in finite volume. This Flux-Difference RD method maintains a compact stencil and the whole process of solving advection–diffusion do not require additional equations. In order to improve the order of accuracy losses by the classic RD schemes, the present scheme will be tested using non-unified manners. The numerical results show that the Flux-Difference RD method preserves second-order accuracy up to about skewness 0.4 but drops to about 1.5 orders accurate when grid skewness is 0.6. |
| first_indexed | 2024-03-05T21:53:28Z |
| format | Article |
| id | uthm.eprints-6300 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | English |
| last_indexed | 2024-03-05T21:53:28Z |
| publishDate | 2020 |
| publisher | Penerbit Akademia Baru |
| record_format | dspace |
| spelling | uthm.eprints-63002022-01-30T01:18:33Z http://eprints.uthm.edu.my/6300/ The effect of grid skewness on non-unified compact residual distribution methods for scalar advection diffusion problems Aminnuddin, Hazim Fadli Ismail, Farzad Mohammed, Akmal Nizam Abdullah, Kamil T Technology (General) TJ241-254.7 Machine construction (General) In this paper, the newly developed residual distribution (RD) method called the Flux- Difference approach is combined with the Galerkin method to solve the advectiondiffusion equation in separate (non-unified) manner. It is due to the incapability of variation grid skewness in finite volume. This Flux-Difference RD method maintains a compact stencil and the whole process of solving advection–diffusion do not require additional equations. In order to improve the order of accuracy losses by the classic RD schemes, the present scheme will be tested using non-unified manners. The numerical results show that the Flux-Difference RD method preserves second-order accuracy up to about skewness 0.4 but drops to about 1.5 orders accurate when grid skewness is 0.6. Penerbit Akademia Baru 2020 Article PeerReviewed text en http://eprints.uthm.edu.my/6300/1/AJ%202020%20%28260%29.pdf Aminnuddin, Hazim Fadli and Ismail, Farzad and Mohammed, Akmal Nizam and Abdullah, Kamil (2020) The effect of grid skewness on non-unified compact residual distribution methods for scalar advection diffusion problems. CFD Letters, 12 (3). pp. 58-65. ISSN 2180-1363 https://doi.org/10.37934/cfdl.12.3.5865 |
| spellingShingle | T Technology (General) TJ241-254.7 Machine construction (General) Aminnuddin, Hazim Fadli Ismail, Farzad Mohammed, Akmal Nizam Abdullah, Kamil The effect of grid skewness on non-unified compact residual distribution methods for scalar advection diffusion problems |
| title | The effect of grid skewness on non-unified compact residual distribution methods for scalar advection diffusion problems |
| title_full | The effect of grid skewness on non-unified compact residual distribution methods for scalar advection diffusion problems |
| title_fullStr | The effect of grid skewness on non-unified compact residual distribution methods for scalar advection diffusion problems |
| title_full_unstemmed | The effect of grid skewness on non-unified compact residual distribution methods for scalar advection diffusion problems |
| title_short | The effect of grid skewness on non-unified compact residual distribution methods for scalar advection diffusion problems |
| title_sort | effect of grid skewness on non unified compact residual distribution methods for scalar advection diffusion problems |
| topic | T Technology (General) TJ241-254.7 Machine construction (General) |
| url | http://eprints.uthm.edu.my/6300/1/AJ%202020%20%28260%29.pdf |
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