Unsteady Aerodynamic Modeling Based on POD-ARX
The lack of stability is a problem encountered when applying the classical POD-Galerkin method to problems of unsteady compressible flows around a moving structure. To solve this problem, a hybrid reduced-order model named POD-ARX is constructed in this paper. The construction of this model involves...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Aerospace Engineering |
| Online Access: | http://dx.doi.org/10.1155/2018/5902794 |
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| author | Xiaopeng Wang Chen’an Zhang Wen Liu Famin Wang Zhengyin Ye |
| author_facet | Xiaopeng Wang Chen’an Zhang Wen Liu Famin Wang Zhengyin Ye |
| author_sort | Xiaopeng Wang |
| collection | DOAJ |
| description | The lack of stability is a problem encountered when applying the classical POD-Galerkin method to problems of unsteady compressible flows around a moving structure. To solve this problem, a hybrid reduced-order model named POD-ARX is constructed in this paper. The construction of this model involves two steps, including first extracting the fluid modes with the POD technique and then identifying the modal coefficients with the ARX model. The POD modes with the block of all modified primitive variables are extracted from the system response to the training signal. Once the POD modes are obtained, the snapshots are projected on these modes to determine the time history of modal coefficients and the resulting modal coefficients are used to identify the parameters of ARX model. Then, the ARX model is used to predict the modal coefficients of the system response to the validation signal. Sample two-dimensional aerodynamic force calculations are conducted to demonstrate this method. Results show that this method can produce a stable and accurate prediction to the aerodynamic response with significant improvement of computational efficiency for linear and even some nonlinear aerodynamic problems. In addition, this method also shows good wide-band characteristics by using the “3211” multistep signal as the training signal. |
| format | Article |
| id | doaj-art-3e05ccd81f9b419ab456ad99a44ccf2e |
| institution | Kabale University |
| issn | 1687-5966 1687-5974 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Aerospace Engineering |
| spelling | doaj-art-3e05ccd81f9b419ab456ad99a44ccf2e2025-02-03T05:57:37ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742018-01-01201810.1155/2018/59027945902794Unsteady Aerodynamic Modeling Based on POD-ARXXiaopeng Wang0Chen’an Zhang1Wen Liu2Famin Wang3Zhengyin Ye4Northwestern Polytechnical University, Xi’an 710072, ChinaState Key Laboratory of High-Temperature Gas Dynamic, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaState Key Laboratory of High-Temperature Gas Dynamic, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaState Key Laboratory of High-Temperature Gas Dynamic, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaNorthwestern Polytechnical University, Xi’an 710072, ChinaThe lack of stability is a problem encountered when applying the classical POD-Galerkin method to problems of unsteady compressible flows around a moving structure. To solve this problem, a hybrid reduced-order model named POD-ARX is constructed in this paper. The construction of this model involves two steps, including first extracting the fluid modes with the POD technique and then identifying the modal coefficients with the ARX model. The POD modes with the block of all modified primitive variables are extracted from the system response to the training signal. Once the POD modes are obtained, the snapshots are projected on these modes to determine the time history of modal coefficients and the resulting modal coefficients are used to identify the parameters of ARX model. Then, the ARX model is used to predict the modal coefficients of the system response to the validation signal. Sample two-dimensional aerodynamic force calculations are conducted to demonstrate this method. Results show that this method can produce a stable and accurate prediction to the aerodynamic response with significant improvement of computational efficiency for linear and even some nonlinear aerodynamic problems. In addition, this method also shows good wide-band characteristics by using the “3211” multistep signal as the training signal.http://dx.doi.org/10.1155/2018/5902794 |
| spellingShingle | Xiaopeng Wang Chen’an Zhang Wen Liu Famin Wang Zhengyin Ye Unsteady Aerodynamic Modeling Based on POD-ARX International Journal of Aerospace Engineering |
| title | Unsteady Aerodynamic Modeling Based on POD-ARX |
| title_full | Unsteady Aerodynamic Modeling Based on POD-ARX |
| title_fullStr | Unsteady Aerodynamic Modeling Based on POD-ARX |
| title_full_unstemmed | Unsteady Aerodynamic Modeling Based on POD-ARX |
| title_short | Unsteady Aerodynamic Modeling Based on POD-ARX |
| title_sort | unsteady aerodynamic modeling based on pod arx |
| url | http://dx.doi.org/10.1155/2018/5902794 |
| work_keys_str_mv | AT xiaopengwang unsteadyaerodynamicmodelingbasedonpodarx AT chenanzhang unsteadyaerodynamicmodelingbasedonpodarx AT wenliu unsteadyaerodynamicmodelingbasedonpodarx AT faminwang unsteadyaerodynamicmodelingbasedonpodarx AT zhengyinye unsteadyaerodynamicmodelingbasedonpodarx |