Numerical analysis of FDV method for one-dimensional Euler equations
Finite volume form of Flowfield Dependent Variation (FDV) method was implemented into upwind scheme in order to solve one-dimensional Euler equations. The implementation of FDV method was motivated by its ability in solving the transition and interaction between different flow regimes based on the s...
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2012
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| Online Access: | http://irep.iium.edu.my/26781/ http://irep.iium.edu.my/26781/1/ICMAE2012-fadhli-v2.pdf |
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iium-267812012-12-06T07:54:36Z http://irep.iium.edu.my/26781/ Numerical analysis of FDV method for one-dimensional Euler equations Bin Zulkafli, Mohd Fadhli Omar, Ashraf Ali E. Asrar, Waqar TL500 Aeronautics Finite volume form of Flowfield Dependent Variation (FDV) method was implemented into upwind scheme in order to solve one-dimensional Euler equations. The implementation of FDV method was motivated by its ability in solving the transition and interaction between different flow regimes based on the so-called FDV parameters which are dependent to the physical properties of the flow. Finite volume form was chosen to add capabilities of handling complex geometries with the advantages of relatively low computational memories requirement. In the present work, conservative variables were approximated using high resolution MUSCL scheme and minmod limiter. Stability condition of the method was analyzed using Von Neumann analysis and has found to be conditionally stable. The accuracy of the method was tested by solving shock tube problem and the results matched with analytical solution. Keywords: Computational Fluid Dynamics (CFD); Flowfield Dependent Variation (FDV); Euler equations 2012-07-03 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/26781/1/ICMAE2012-fadhli-v2.pdf Bin Zulkafli, Mohd Fadhli and Omar, Ashraf Ali E. and Asrar, Waqar (2012) Numerical analysis of FDV method for one-dimensional Euler equations. In: 2nd International Conference on Mathematical Applications in Engineering (ICMAE2012), 3 - 5 July 2012, Seri Pacific Hotel Kuala Lumpur, Malaysia. |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
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IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
TL500 Aeronautics |
| spellingShingle |
TL500 Aeronautics Bin Zulkafli, Mohd Fadhli Omar, Ashraf Ali E. Asrar, Waqar Numerical analysis of FDV method for one-dimensional Euler equations |
| description |
Finite volume form of Flowfield Dependent Variation (FDV) method was implemented into upwind scheme in order to solve one-dimensional Euler equations. The implementation of FDV method was motivated by its ability in solving the transition and interaction between different flow regimes based on the so-called FDV parameters which are dependent to the physical properties of the flow. Finite volume form was chosen to add capabilities of handling complex geometries with the advantages of relatively low computational memories requirement. In the present work, conservative variables were approximated using high resolution MUSCL scheme and minmod limiter. Stability condition of the method was analyzed using Von Neumann analysis and has found to be conditionally stable. The accuracy of the method was tested by solving shock tube problem and the results matched with analytical solution.
Keywords: Computational Fluid Dynamics (CFD); Flowfield Dependent Variation (FDV); Euler equations |
| format |
Conference or Workshop Item |
| author |
Bin Zulkafli, Mohd Fadhli Omar, Ashraf Ali E. Asrar, Waqar |
| author_facet |
Bin Zulkafli, Mohd Fadhli Omar, Ashraf Ali E. Asrar, Waqar |
| author_sort |
Bin Zulkafli, Mohd Fadhli |
| title |
Numerical analysis of FDV method for one-dimensional Euler equations |
| title_short |
Numerical analysis of FDV method for one-dimensional Euler equations |
| title_full |
Numerical analysis of FDV method for one-dimensional Euler equations |
| title_fullStr |
Numerical analysis of FDV method for one-dimensional Euler equations |
| title_full_unstemmed |
Numerical analysis of FDV method for one-dimensional Euler equations |
| title_sort |
numerical analysis of fdv method for one-dimensional euler equations |
| publishDate |
2012 |
| url |
http://irep.iium.edu.my/26781/ http://irep.iium.edu.my/26781/1/ICMAE2012-fadhli-v2.pdf |
| first_indexed |
2023-09-18T20:39:50Z |
| last_indexed |
2023-09-18T20:39:50Z |
| _version_ |
1777409291442978816 |