Numerical Simulation of Unsteady Compressible Flow in Convergent Channel: Pressure Spectral Analysis
This study deals with the numerical solution of a 2D unsteady flow of a compressible viscous fluid in a channel for low inlet airflow velocity. The unsteadiness of the flow is caused by a prescribed periodic motion of a part of the channel wall with large amplitudes, nearly closing the channel durin...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/545120 |
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| author | Petra Pořízková Karel Kozel Jaromír Horáček |
| author_facet | Petra Pořízková Karel Kozel Jaromír Horáček |
| author_sort | Petra Pořízková |
| collection | DOAJ |
| description | This study deals with the numerical solution of a 2D unsteady flow of a compressible viscous fluid in a channel for low inlet airflow velocity. The unsteadiness of the flow is caused by a prescribed periodic motion of a part of the channel wall with large amplitudes, nearly closing the channel during oscillations. The flow is described by the system of Navier-Stokes equations for laminar flows. The numerical solution is implemented using the finite volume method (FVM) and the predictor-corrector Mac-Cormack scheme with Jameson artificial viscosity using a grid of quadrilateral cells. Due to the motion of the grid, the basic system of conservation laws is considered in the arbitrary Lagrangian-Eulerian (ALE) form. The numerical results of unsteady flows in the channel are presented for inlet Mach number M∞=0.012, Reynolds number Re∞=4481, and the wall motion frequency 100 Hz. |
| format | Article |
| id | doaj-art-b376cb0d57b34e74a582f774be80d179 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b376cb0d57b34e74a582f774be80d1792025-02-03T00:59:38ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/545120545120Numerical Simulation of Unsteady Compressible Flow in Convergent Channel: Pressure Spectral AnalysisPetra Pořízková0Karel Kozel1Jaromír Horáček2Department of Technical Mathematics, Faculty of Mechanical Engineering, Czech Technical University in Prague, Karlovo Nám. 13, 121 35 Praha 2, Czech RepublicInstitute of Thermomechanics AS CR, Dolejškova 5, 18200 Prague 8, Czech RepublicInstitute of Thermomechanics AS CR, Dolejškova 5, 18200 Prague 8, Czech RepublicThis study deals with the numerical solution of a 2D unsteady flow of a compressible viscous fluid in a channel for low inlet airflow velocity. The unsteadiness of the flow is caused by a prescribed periodic motion of a part of the channel wall with large amplitudes, nearly closing the channel during oscillations. The flow is described by the system of Navier-Stokes equations for laminar flows. The numerical solution is implemented using the finite volume method (FVM) and the predictor-corrector Mac-Cormack scheme with Jameson artificial viscosity using a grid of quadrilateral cells. Due to the motion of the grid, the basic system of conservation laws is considered in the arbitrary Lagrangian-Eulerian (ALE) form. The numerical results of unsteady flows in the channel are presented for inlet Mach number M∞=0.012, Reynolds number Re∞=4481, and the wall motion frequency 100 Hz.http://dx.doi.org/10.1155/2012/545120 |
| spellingShingle | Petra Pořízková Karel Kozel Jaromír Horáček Numerical Simulation of Unsteady Compressible Flow in Convergent Channel: Pressure Spectral Analysis Journal of Applied Mathematics |
| title | Numerical Simulation of Unsteady Compressible Flow in Convergent Channel: Pressure Spectral Analysis |
| title_full | Numerical Simulation of Unsteady Compressible Flow in Convergent Channel: Pressure Spectral Analysis |
| title_fullStr | Numerical Simulation of Unsteady Compressible Flow in Convergent Channel: Pressure Spectral Analysis |
| title_full_unstemmed | Numerical Simulation of Unsteady Compressible Flow in Convergent Channel: Pressure Spectral Analysis |
| title_short | Numerical Simulation of Unsteady Compressible Flow in Convergent Channel: Pressure Spectral Analysis |
| title_sort | numerical simulation of unsteady compressible flow in convergent channel pressure spectral analysis |
| url | http://dx.doi.org/10.1155/2012/545120 |
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