An implicit numerical scheme for gas flow simulation in cascade of vibrating airfoils
An implicit numerical scheme for unsteady gas-dynamic processes in cascades of vibrating turbine airfoils is presented. The scheme is second-order accurate in time and space and based on modified second-order Godunov’s scheme. Proposed scheme is suitable for upgrading existing explicit unsteady flow...
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| Date: | 2015 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України
2015
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| Subjects: | |
| Online Access: | https://journals.uran.ua/jme/article/view/57505 |
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| Journal Title: | Journal of Mechanical Engineering |
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Journal of Mechanical Engineering| Summary: | An implicit numerical scheme for unsteady gas-dynamic processes in cascades of vibrating turbine airfoils is presented. The scheme is second-order accurate in time and space and based on modified second-order Godunov’s scheme. Proposed scheme is suitable for upgrading existing explicit unsteady flow solvers. The algorithm is developed for unstructured grids usage and utilizes iterative numerical methods for the implicit procedure. A numerical simulation of flow in cascade of 4th standard configuration turbine airfoils is performed. Movement of the airfoils is defined as bending with given frequency and amplitude, inter-blade phase shift is set to zero. In the simulation different time steps are used on purpose to estimate an influence of step value on result accuracy. Conclusion about optimal values for time step is obtained. Estimation of possibility of application of implicit schemes to similar aeroelastic problems is performed. Conclusions about computational effectiveness of exploited scheme are obtained. |
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