Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting
Purpose - To develop a high-order compact finite-difference method for solving flow problems containing shock waves. Design/methodology/approach - A numerical algorithm based on high-order compact finite-difference schemes is developed for solving Navier-Stokes equations in two-dimensional space. Th...
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2023
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| author | Mawlood M.K. Basri S. Asrar W. Omar A.A. Mokhtar A.S. Ahmad M.M.H.M. |
| author2 | 6507670187 |
| author_facet | 6507670187 Mawlood M.K. Basri S. Asrar W. Omar A.A. Mokhtar A.S. Ahmad M.M.H.M. |
| author_sort | Mawlood M.K. |
| building | UNITEN Library |
| collection | Institutional Repository |
| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | Purpose - To develop a high-order compact finite-difference method for solving flow problems containing shock waves. Design/methodology/approach - A numerical algorithm based on high-order compact finite-difference schemes is developed for solving Navier-Stokes equations in two-dimensional space. The convective flux terms are discretized by using advection upstream splitting method (AUSM). The developed method is then used to compute some example laminar flow problems. The problems considered have a range of Mach number that corresponds to subsonic incompressible flow to hypersonic compressible flows that contain shock waves and shock/boundary-layer interaction. Findings - The paper shows that the AUSM flux splitting and high-order compact finite-difference methods can be used accurately and robustly in resolving shear layers and capturing shock waves. The highly diffusive nature of conventional flux splitting especially on coarse grids makes them inaccurate for boundary layers even with high-order discretization. Originality/value - This paper presents a high-order numerical method that can accurately and robustly capture shock waves without deteriorating oscillations and resolve boundary layers and shock/boundary layer interaction. � Emerald Group Publishing Limited. |
| format | Article |
| id | my.uniten.dspace-29793 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2023 |
| record_format | dspace |
| spelling | my.uniten.dspace-297932023-12-28T16:57:42Z Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting Mawlood M.K. Basri S. Asrar W. Omar A.A. Mokhtar A.S. Ahmad M.M.H.M. 6507670187 6603349880 6603244837 7202864035 56186284800 7402896178 Finite difference methods Flow Wave properties finite difference technique heat flux mathematical analysis Navier-Stokes equations Algorithms Boundary layers Finite difference method Navier Stokes equations Shock waves Advection upstream splitting method (AUSM) Shear layers Wave properties Heat flux Purpose - To develop a high-order compact finite-difference method for solving flow problems containing shock waves. Design/methodology/approach - A numerical algorithm based on high-order compact finite-difference schemes is developed for solving Navier-Stokes equations in two-dimensional space. The convective flux terms are discretized by using advection upstream splitting method (AUSM). The developed method is then used to compute some example laminar flow problems. The problems considered have a range of Mach number that corresponds to subsonic incompressible flow to hypersonic compressible flows that contain shock waves and shock/boundary-layer interaction. Findings - The paper shows that the AUSM flux splitting and high-order compact finite-difference methods can be used accurately and robustly in resolving shear layers and capturing shock waves. The highly diffusive nature of conventional flux splitting especially on coarse grids makes them inaccurate for boundary layers even with high-order discretization. Originality/value - This paper presents a high-order numerical method that can accurately and robustly capture shock waves without deteriorating oscillations and resolve boundary layers and shock/boundary layer interaction. � Emerald Group Publishing Limited. Final 2023-12-28T08:57:42Z 2023-12-28T08:57:42Z 2006 Article 10.1108/09615530610636982 2-s2.0-30344459098 https://www.scopus.com/inward/record.uri?eid=2-s2.0-30344459098&doi=10.1108%2f09615530610636982&partnerID=40&md5=31d620ccb09538722e78e7c1343efe42 https://irepository.uniten.edu.my/handle/123456789/29793 16 1 107 120 Scopus |
| spellingShingle | Finite difference methods Flow Wave properties finite difference technique heat flux mathematical analysis Navier-Stokes equations Algorithms Boundary layers Finite difference method Navier Stokes equations Shock waves Advection upstream splitting method (AUSM) Shear layers Wave properties Heat flux Mawlood M.K. Basri S. Asrar W. Omar A.A. Mokhtar A.S. Ahmad M.M.H.M. Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting |
| title | Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting |
| title_full | Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting |
| title_fullStr | Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting |
| title_full_unstemmed | Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting |
| title_short | Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting |
| title_sort | solution of navier-stokes equations by fourth-order compact schemes and ausm flux splitting |
| topic | Finite difference methods Flow Wave properties finite difference technique heat flux mathematical analysis Navier-Stokes equations Algorithms Boundary layers Finite difference method Navier Stokes equations Shock waves Advection upstream splitting method (AUSM) Shear layers Wave properties Heat flux |
| url_provider | http://dspace.uniten.edu.my/ |