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| The technique to add node adaptively based on meshfree stabilized methodfor unsteady strong convection problems |
| Received:March 27, 2008 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20103011 |
| KeyWord:meshfree method strong convection stabilization adaptation unsteady |
| Author | Institution |
| 张林 |
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 |
| 张文彬 |
西北工业大学 应用数学系,西安 |
| 张小华 |
西北工业大学 应用数学系,西安 |
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| Abstract: |
| Meshfree Taylor least squares (MFLS) stabilized method is an effective numerical method to eliminate the spurious oscillations which occur in solving unsteady convection dominated problems by Element Free Galerkin (EFG) method. However, the effects of the stability are dissatisfactory when the convection strongly dominates the diffusion, not to mention pure convection problems. So in this paper, the technique to add node adaptively is introduced to MFLS stabilized method to overcome this deficiency, namely, adaptive MFLS (AMFLS) technique is proposed. In AMFLS, background mesh is considered as the cell to calculate the grads index of physical quantity. The grads index of physical quantity is regarded as the grads indication in these control cells and it decides whether or not to refine the cell by comparing with the grads bound. Several numerical examples are presented and the numerical results show that AMFLS technique can be effective to indicate the region in which there exist spurious oscillations. Meanwhile, it can also eliminate the spurious oscillations completely in unsteady strong convection problems, even pure convection problems. |
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