Multigrid solution of Euler equations using high-resolution NVD differencing scheme for unstructured meshes
High-speed compressible flows in a nozzle and over an airfoil have been computed by solving the Euler equations using the GAMMA differencing scheme for spatial discretisation on unstructured grid. This high-resolution technique originally developed in a segregated algorithm has now been modified for...
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Inderscience Publishers
2023
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| _version_ | 1833352037558910976 |
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| author | Ng K.C. Yusoff M.Z. Ng E.Y.K. |
| author2 | 55310814500 |
| author_facet | 55310814500 Ng K.C. Yusoff M.Z. Ng E.Y.K. |
| author_sort | Ng K.C. |
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| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | High-speed compressible flows in a nozzle and over an airfoil have been computed by solving the Euler equations using the GAMMA differencing scheme for spatial discretisation on unstructured grid. This high-resolution technique originally developed in a segregated algorithm has now been modified for the present coupled solver by introducing a non-linear blending factor to enhance its convergence property while preserving the Total Variation Diminishing (TVD) criterion. The efficiencies of the GAMMA scheme and its variant have been augmented with a novel agglomeration multigrid scheme to accelerate the convergence to steady state using the multi-stage Runge-Kutta time-marching technique. Copyright � 2006 Inderscience Enterprises Ltd. |
| format | Article |
| id | my.uniten.dspace-29770 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2023 |
| publisher | Inderscience Publishers |
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| spelling | my.uniten.dspace-297702023-12-28T16:57:36Z Multigrid solution of Euler equations using high-resolution NVD differencing scheme for unstructured meshes Ng K.C. Yusoff M.Z. Ng E.Y.K. 55310814500 7003976733 7201647536 Agglomeration multigrid Compressible flow Density-based method GAMMA scheme Normalised Variable Diagram (NVD) Unstructured mesh Airfoils Algorithms Compressible flow Computational fluid dynamics Computer simulation Convergence of numerical methods Nozzles Runge Kutta methods Airfoils Algorithms Compressible flow Computer simulation Convergence of numerical methods Nozzles Runge Kutta methods Agglomeration multigrid scheme Euler equations GAMMA differencing scheme Normalised Variable Diagram (NVD) Unstructured mesh Computational fluid dynamics High-speed compressible flows in a nozzle and over an airfoil have been computed by solving the Euler equations using the GAMMA differencing scheme for spatial discretisation on unstructured grid. This high-resolution technique originally developed in a segregated algorithm has now been modified for the present coupled solver by introducing a non-linear blending factor to enhance its convergence property while preserving the Total Variation Diminishing (TVD) criterion. The efficiencies of the GAMMA scheme and its variant have been augmented with a novel agglomeration multigrid scheme to accelerate the convergence to steady state using the multi-stage Runge-Kutta time-marching technique. Copyright � 2006 Inderscience Enterprises Ltd. Final 2023-12-28T08:57:36Z 2023-12-28T08:57:36Z 2006 Article 10.1504/PCFD.2006.010964 2-s2.0-33845511110 https://www.scopus.com/inward/record.uri?eid=2-s2.0-33845511110&doi=10.1504%2fPCFD.2006.010964&partnerID=40&md5=230148dd3bbb5503add5879741509d6e https://irepository.uniten.edu.my/handle/123456789/29770 6 7 389 401 Inderscience Publishers Scopus |
| spellingShingle | Agglomeration multigrid Compressible flow Density-based method GAMMA scheme Normalised Variable Diagram (NVD) Unstructured mesh Airfoils Algorithms Compressible flow Computational fluid dynamics Computer simulation Convergence of numerical methods Nozzles Runge Kutta methods Airfoils Algorithms Compressible flow Computer simulation Convergence of numerical methods Nozzles Runge Kutta methods Agglomeration multigrid scheme Euler equations GAMMA differencing scheme Normalised Variable Diagram (NVD) Unstructured mesh Computational fluid dynamics Ng K.C. Yusoff M.Z. Ng E.Y.K. Multigrid solution of Euler equations using high-resolution NVD differencing scheme for unstructured meshes |
| title | Multigrid solution of Euler equations using high-resolution NVD differencing scheme for unstructured meshes |
| title_full | Multigrid solution of Euler equations using high-resolution NVD differencing scheme for unstructured meshes |
| title_fullStr | Multigrid solution of Euler equations using high-resolution NVD differencing scheme for unstructured meshes |
| title_full_unstemmed | Multigrid solution of Euler equations using high-resolution NVD differencing scheme for unstructured meshes |
| title_short | Multigrid solution of Euler equations using high-resolution NVD differencing scheme for unstructured meshes |
| title_sort | multigrid solution of euler equations using high-resolution nvd differencing scheme for unstructured meshes |
| topic | Agglomeration multigrid Compressible flow Density-based method GAMMA scheme Normalised Variable Diagram (NVD) Unstructured mesh Airfoils Algorithms Compressible flow Computational fluid dynamics Computer simulation Convergence of numerical methods Nozzles Runge Kutta methods Airfoils Algorithms Compressible flow Computer simulation Convergence of numerical methods Nozzles Runge Kutta methods Agglomeration multigrid scheme Euler equations GAMMA differencing scheme Normalised Variable Diagram (NVD) Unstructured mesh Computational fluid dynamics |
| url_provider | http://dspace.uniten.edu.my/ |