Comparative Study of Arakawa Scheme and WENO Scheme for Solving Advection Equation.
In this paper, we investigate the impact of Arakawa and WENO advection schemes in numerical ocean modelling. Numerical simulation s in ocean models rely on non-oscillatory advection scheme, which minimizes numerical dissipation and dispersion problems. We study the Arakawa scheme and WENO-5 scheme i...
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| Format: | Online |
| Sprog: | engelsk |
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Journal of Science
2026
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| Online adgang: | http://journals.juniv.edu/index.php/jos/article/view/426 |
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| author | Prokriti Biswas |
| author_facet | Prokriti Biswas |
| author_sort | Prokriti Biswas |
| collection | OJS |
| description | In this paper, we investigate the impact of Arakawa and WENO advection schemes in numerical ocean modelling. Numerical simulation s in ocean models rely on non-oscillatory advection scheme, which minimizes numerical dissipation and dispersion problems. We study the Arakawa scheme and WENO-5 scheme in the 2-D advection problem. The Arakawa scheme preserves important physical phenomena and the WENO-5 scheme emphasizes high resolution and non-oscillatory solutions, so we study both numerical methods. Our key focus is to observe the oscillatory behavior of the numerical solutions, examine the total variation diminishing (TVD ) property and assess numerical dissipation and dispersion of these schemes . We observe that the Arakawa scheme shows an oscillatory solution with slight dissipation, yet preserves energy well. The WENO-5 scheme produces a non-oscillatory numerical solution and minimizes numerical dissipation in 2-D advection equations. The WENO-5 scheme performs better than Arakawa 2-D advection scheme and the WENO-5 reconstruction minimizes numerical dissipation. |
| format | Online |
| id | ojs-426 |
| institution | My University |
| language | eng |
| publishDate | 2026 |
| publisher | Journal of Science |
| record_format | ojs |
| spelling | ojs-4262026-08-18T05:22:45Z Comparative Study of Arakawa Scheme and WENO Scheme for Solving Advection Equation. Prokriti Biswas Ocean modelling, Arakawa scheme, WENO scheme, total variation, TVD. In this paper, we investigate the impact of Arakawa and WENO advection schemes in numerical ocean modelling. Numerical simulation s in ocean models rely on non-oscillatory advection scheme, which minimizes numerical dissipation and dispersion problems. We study the Arakawa scheme and WENO-5 scheme in the 2-D advection problem. The Arakawa scheme preserves important physical phenomena and the WENO-5 scheme emphasizes high resolution and non-oscillatory solutions, so we study both numerical methods. Our key focus is to observe the oscillatory behavior of the numerical solutions, examine the total variation diminishing (TVD ) property and assess numerical dissipation and dispersion of these schemes . We observe that the Arakawa scheme shows an oscillatory solution with slight dissipation, yet preserves energy well. The WENO-5 scheme produces a non-oscillatory numerical solution and minimizes numerical dissipation in 2-D advection equations. The WENO-5 scheme performs better than Arakawa 2-D advection scheme and the WENO-5 reconstruction minimizes numerical dissipation. Journal of Science 2026-08-11 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Conference Proceedings Submission application/pdf http://journals.juniv.edu/index.php/jos/article/view/426 10.59185/jos.v46i1.426 Journal of Science; Vol. 46 No. 1 (2026): Jahangirnagar University Journal of Science; 29-43 10.59185/jos.v46i1 eng http://journals.juniv.edu/index.php/jos/article/view/426/345 Copyright (c) 2026 Journal of Science |
| spellingShingle | Ocean modelling, Arakawa scheme, WENO scheme, total variation, TVD. Prokriti Biswas Comparative Study of Arakawa Scheme and WENO Scheme for Solving Advection Equation. |
| title | Comparative Study of Arakawa Scheme and WENO Scheme for Solving Advection Equation. |
| title_full | Comparative Study of Arakawa Scheme and WENO Scheme for Solving Advection Equation. |
| title_fullStr | Comparative Study of Arakawa Scheme and WENO Scheme for Solving Advection Equation. |
| title_full_unstemmed | Comparative Study of Arakawa Scheme and WENO Scheme for Solving Advection Equation. |
| title_short | Comparative Study of Arakawa Scheme and WENO Scheme for Solving Advection Equation. |
| title_sort | comparative study of arakawa scheme and weno scheme for solving advection equation |
| topic | Ocean modelling, Arakawa scheme, WENO scheme, total variation, TVD. |
| topic_facet | Ocean modelling, Arakawa scheme, WENO scheme, total variation, TVD. |
| url | http://journals.juniv.edu/index.php/jos/article/view/426 |
| work_keys_str_mv | AT prokritibiswas comparativestudyofarakawaschemeandwenoschemeforsolvingadvectionequation |