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| Research of data transfer on coupling interface based on partition acceleration and global CG algorithm |
| Received:February 26, 2014 Revised:April 10, 2014 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201502023 |
| KeyWord:data exchanges coupling dynamics compactly supported radial basis function partition acceleration global conjugate iterative method |
| Author | Institution |
| 王计真 |
中国科学技术大学 近代力学系 中国科学院材料力学行为与设计重点实验室, 合肥 |
| 陈海波 |
中国科学技术大学 近代力学系 中国科学院材料力学行为与设计重点实验室, 合肥 |
| 陈红永 |
中国科学技术大学 近代力学系 中国科学院材料力学行为与设计重点实验室, 合肥 |
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| Abstract: |
| Frequent data exchanges take place on the interface in the solution of coupled problems.For this problem, a kind of interpolation algorithm was derived from the compactly supported radial basis functions and the polynomial basis functions;and the specific form of the transfer matrix was given as well.By analyzing the complexity of the algorithm, it was found that constructing the radial basis matrix and computing the transfer matrix consumed most CPU time, causing computational inefficiency when the number of nodes on the coupling interface was large.The partition acceleration principle was proposed to accelerate the construction of the radial basis matrix by improving the efficiency of searching the related nodes.To avoid matrix inversion, the process of computing the transfer matrix is converted to solve a multi-right-hand sparse symmetric linear system of equations, and the global CG iterative method was introduced to deal with it.Finally how to select the initial guess matrix was discussed.Numerical examples show that a combination of the partition acceleration treatment and the global conjugate gradient iterative method can improve numerial efficiency greatly without accuracy loss. |