Two-dimensional stable lattice Boltzmann simulation of turbulent flow in wavy walled channel
In recent years, the lattice Boltzmann equation has developed into a promising technique for computational fluid dynamics (CFD). The lattice Boltzmann model (LBM) approach is derived from the Boltzmann equation and kinetic theory, as opposed to the standard CFD methods that are based on direct discr...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2023-01-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0123033 |
| _version_ | 1811172619437735936 |
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| author | Riffat Habib Tahir Saeed Khan Zubair Ahmad Muhammad Saad Khan Ebenezer Bonyah |
| author_facet | Riffat Habib Tahir Saeed Khan Zubair Ahmad Muhammad Saad Khan Ebenezer Bonyah |
| author_sort | Riffat Habib |
| collection | DOAJ |
| description | In recent years, the lattice Boltzmann equation has developed into a promising technique for computational fluid dynamics (CFD). The lattice Boltzmann model (LBM) approach is derived from the Boltzmann equation and kinetic theory, as opposed to the standard CFD methods that are based on direct discretization of the Navier–Stokes equations. In this paper, Newtonian flow passing through a wavy walled channel has been examined for laminar to turbulent transition by using the LBM. The simple LBM for this problem becomes unstable as the Reynolds number increases and the laminar to turbulent transition begins. When Ehrenfest’s limiters are introduced in the LBM, the simulation becomes stable for higher Reynolds numbers. Two types of channel geometries are studied here, the channel walls of relatively small amplitude and channel walls of large amplitude. Our findings are that for large amplitude channel walls, flow becomes unsteady for lower Reynolds numbers as compared to that for small amplitude channel walls. For large amplitude walls, the vortices formed exhibit periodic shedding inside the channel furrows and remain there. For small amplitude walls, the vortex shedding starts downstream of the channel. The present LBM variant is able to simulate small amplitude channel flow for a Reynolds number Re = 800 and large amplitude channel flow for a Reynolds number R = 570. |
| first_indexed | 2024-04-10T17:33:14Z |
| format | Article |
| id | doaj.art-2771d3bbc589488da3ad68ccfe90e81b |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-04-10T17:33:14Z |
| publishDate | 2023-01-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-2771d3bbc589488da3ad68ccfe90e81b2023-02-03T16:42:07ZengAIP Publishing LLCAIP Advances2158-32262023-01-01131015114015114-910.1063/5.0123033Two-dimensional stable lattice Boltzmann simulation of turbulent flow in wavy walled channelRiffat Habib0Tahir Saeed Khan1Zubair Ahmad2Muhammad Saad Khan3Ebenezer Bonyah4Department of Mathematics, University of Peshawar, Peshawar 25000, PakistanDepartment of Mathematics, University of Peshawar, Peshawar 25000, PakistanDepartment of Mathematics and Physics, University of Campania, “Luigi Vanvitelli,” Caserta 81100, ItalyDepartment of Statistics, University of Sargodha, Sargodha 40100, PakistanInformation Department of Mathematics Education, Akenten Appiah Menka University of Skills Training and Entrepreneurship Development, Kumasi, GhanaIn recent years, the lattice Boltzmann equation has developed into a promising technique for computational fluid dynamics (CFD). The lattice Boltzmann model (LBM) approach is derived from the Boltzmann equation and kinetic theory, as opposed to the standard CFD methods that are based on direct discretization of the Navier–Stokes equations. In this paper, Newtonian flow passing through a wavy walled channel has been examined for laminar to turbulent transition by using the LBM. The simple LBM for this problem becomes unstable as the Reynolds number increases and the laminar to turbulent transition begins. When Ehrenfest’s limiters are introduced in the LBM, the simulation becomes stable for higher Reynolds numbers. Two types of channel geometries are studied here, the channel walls of relatively small amplitude and channel walls of large amplitude. Our findings are that for large amplitude channel walls, flow becomes unsteady for lower Reynolds numbers as compared to that for small amplitude channel walls. For large amplitude walls, the vortices formed exhibit periodic shedding inside the channel furrows and remain there. For small amplitude walls, the vortex shedding starts downstream of the channel. The present LBM variant is able to simulate small amplitude channel flow for a Reynolds number Re = 800 and large amplitude channel flow for a Reynolds number R = 570.http://dx.doi.org/10.1063/5.0123033 |
| spellingShingle | Riffat Habib Tahir Saeed Khan Zubair Ahmad Muhammad Saad Khan Ebenezer Bonyah Two-dimensional stable lattice Boltzmann simulation of turbulent flow in wavy walled channel AIP Advances |
| title | Two-dimensional stable lattice Boltzmann simulation of turbulent flow in wavy walled channel |
| title_full | Two-dimensional stable lattice Boltzmann simulation of turbulent flow in wavy walled channel |
| title_fullStr | Two-dimensional stable lattice Boltzmann simulation of turbulent flow in wavy walled channel |
| title_full_unstemmed | Two-dimensional stable lattice Boltzmann simulation of turbulent flow in wavy walled channel |
| title_short | Two-dimensional stable lattice Boltzmann simulation of turbulent flow in wavy walled channel |
| title_sort | two dimensional stable lattice boltzmann simulation of turbulent flow in wavy walled channel |
| url | http://dx.doi.org/10.1063/5.0123033 |
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