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| Fast acoustic design sensitivity analysis based on ACA-BEM |
| Received:January 25, 2013 Revised:June 11, 2013 |
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| DOI：10.7511/jslx201404001 |
| KeyWord:boundary element method adaptive cross approximation acoustic design sensitivity analysis direct differentiation method adjoint variable method |
| Author | Institution |
| 郑昌军 |
中国科学技术大学 近代力学系, 合肥 |
| 陈磊磊 |
中国科学技术大学 近代力学系, 合肥 |
| 陈海波 |
中国科学技术大学 近代力学系, 合肥 |
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| Abstract: |
| A set of fast acoustic design sensitivity analysis approaches are developed in this paper based on the boundary element method accelerated by the adaptive cross approximation (ACA).Both the direct differentiation method and the adjoint variable method are implemented in the design sensitivity analysis.Since the compressed coefficient matrices can be obtained in the ACA before the iterative solution procedure, the ACA can be adopted to conquer not only the high storage requirement but also the high computational cost of the conventional boundary element method.Moreover, the compressed matrices are reused in the acoustic design sensitivity analysis in order to make the developed approaches more efficient.Numerical examples are used to demonstrate the accuracy and efficiency of the developed approaches, and also the potential in large-scale acoustic optimization problems. |