The effect of virtual mass on the characteristics and the numerical stability in two-phase flow
It is known that the typical six equation two-fluid model of the two-phase flow possesses complex characteristics, exhibits unbounded instabilities in the short-wavelength limit and constitutes an ill-posed initial value problem. Among the suggestions to overcome these difficulties, one model for th...
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[Cambridge, Mass.] : Massachusetts Institute of Technology, Energy Laboratory, 1981
2011
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| Online Access: | http://hdl.handle.net/1721.1/60477 |
| _version_ | 1811072355630317568 |
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| author | No, H. C. Kazimi, Mujid S. |
| author2 | United States. Dept. of Energy. |
| author_facet | United States. Dept. of Energy. No, H. C. Kazimi, Mujid S. |
| author_sort | No, H. C. |
| collection | MIT |
| description | It is known that the typical six equation two-fluid model of the two-phase flow possesses complex characteristics, exhibits unbounded instabilities in the short-wavelength limit and constitutes an ill-posed initial value problem. Among the suggestions to overcome these difficulties, one model for the virtual mass force terms was studied here, because the virtual mass represents real physical effects to accomplish the dissipation for numerical stability. It was found that the virtual mass has a profound effect upon the mathematical characteristic and numerical stability. Here a quantitative bound on the coefficient of the virtual mass terms was suggested for mathematical hyperbolicity and numerical stability. It was concluded that the finite difference scheme with the virtual mass model is restricted only by the convective stability conditions with the above suggested value. |
| first_indexed | 2024-09-23T09:04:38Z |
| id | mit-1721.1/60477 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T09:04:38Z |
| publishDate | 2011 |
| publisher | [Cambridge, Mass.] : Massachusetts Institute of Technology, Energy Laboratory, 1981 |
| record_format | dspace |
| spelling | mit-1721.1/604772019-04-10T20:37:11Z The effect of virtual mass on the characteristics and the numerical stability in two-phase flow No, H. C. Kazimi, Mujid S. United States. Dept. of Energy. Two-phase flow It is known that the typical six equation two-fluid model of the two-phase flow possesses complex characteristics, exhibits unbounded instabilities in the short-wavelength limit and constitutes an ill-posed initial value problem. Among the suggestions to overcome these difficulties, one model for the virtual mass force terms was studied here, because the virtual mass represents real physical effects to accomplish the dissipation for numerical stability. It was found that the virtual mass has a profound effect upon the mathematical characteristic and numerical stability. Here a quantitative bound on the coefficient of the virtual mass terms was suggested for mathematical hyperbolicity and numerical stability. It was concluded that the finite difference scheme with the virtual mass model is restricted only by the convective stability conditions with the above suggested value. 2011-01-11T05:32:32Z 2011-01-11T05:32:32Z 1981 http://hdl.handle.net/1721.1/60477 09554917 Energy Laboratory report (Massachusetts Institute of Technology. Energy Laboratory) no. MIT-EL 81-023. vi, 24 p application/pdf [Cambridge, Mass.] : Massachusetts Institute of Technology, Energy Laboratory, 1981 |
| spellingShingle | Two-phase flow No, H. C. Kazimi, Mujid S. The effect of virtual mass on the characteristics and the numerical stability in two-phase flow |
| title | The effect of virtual mass on the characteristics and the numerical stability in two-phase flow |
| title_full | The effect of virtual mass on the characteristics and the numerical stability in two-phase flow |
| title_fullStr | The effect of virtual mass on the characteristics and the numerical stability in two-phase flow |
| title_full_unstemmed | The effect of virtual mass on the characteristics and the numerical stability in two-phase flow |
| title_short | The effect of virtual mass on the characteristics and the numerical stability in two-phase flow |
| title_sort | effect of virtual mass on the characteristics and the numerical stability in two phase flow |
| topic | Two-phase flow |
| url | http://hdl.handle.net/1721.1/60477 |
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