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| Variational multiscale method for the transient convection-diffusion equations |
| Received:June 11, 2008 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20104005 |
| KeyWord:transient convection-diffusion variational multi-scale stabilized method |
| Author | Institution |
| 朱海涛 |
西北工业大学 应用数学系,西安 |
| 欧阳洁 |
西北工业大学 应用数学系,西安 |
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| Abstract: |
| This paper followed the lines of variational multi-scale method and presented a variational multi-scale finite element method for the transient linear and nonlinear convection-diffusion equations. The θ family of methods were employed for the time discretization. Making a proper approximation to the fine scale solution, variational multi-scale method can stabilize the linear and nonlinear convective term with the help of the stabilization term based on the residual of the Partial Differential Equations. Modeling the fine scale by high-order polynomial bubble and residual free bubble, with the assumption that the fine scale solution is time independent corrects the lack of stability of the standard Galerkin weak form. The numerical results show that the method is stable, accurate, and yields high approximation to the high Peclet number problems. |
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