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| A kind of cell-centered finite volume scheme in arbitrarylagrangian-eulerian method |
| Received:October 10, 2007 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20091009 |
| KeyWord:ALE(Arbitrary Llagrangian-Eulerian) method remapping technique staggered mesh cell-centered scheme least squares method |
| Author | Institution |
| 王永健 |
南京航空航天大学 理学院,南京 |
| 赵宁 |
南京航空航天大学 空气动力学系, 南京 |
| 王春武 |
南京航空航天大学 理学院,南京 |
| 王东红 |
南京航空航天大学 理学院,南京 |
| 徐怀好 |
南京航空航天大学 理学院,南京 |
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| Abstract: |
| As we know, most of finite volume schemes in ALE(Arbitrary Lagrangian-Eulerian) method are constructed on the staggered mesh, where the momentum is defined at the nodes and the other variables (density, pressure and specific internal energy) are cell-centered. When remapping of mass and momentum on the staggered mesh, this kind of scheme must use a cell-centered remapping algorithm twice that is very inefficient. Furthermore, there is inconsistent treatment of the kinetic and internal energies. A new first order algorithm about computing the velocities at the nodes is introduced by Abgrall R. et al. In this paper, we reconstruct interpolating polynomials for the values of cell average by using the least square method, and from a new first order algorithm. With a high accurate remapping algorithm, series of numerical experiments are made with our arbitrary Lagrangian-Eulerian method Results show that the method is not only effective, high accurate and convergent, but also remains the consistent treatment of the kinetic and internal energies. |
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