Evaluation of discontinuity treatment in intrusive polynomial chaos for uncertainty quantification of a nozzle flow in CFD
Stochastic flow simulation methods based on the polynomial chaos expansion (PCE) are developed and verified to quantify the propagation of a geometric uncertainty of a quasi-one dimensional flow in a supersonic wind tunnel. The effect of uncertainty in the area of diffuser throat, i.e. second throat...
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| Format: | Article |
| Language: | English |
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The Japan Society of Mechanical Engineers
2020-01-01
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| Series: | Journal of Fluid Science and Technology |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/jfst/15/1/15_2020jfst0002/_pdf/-char/en |
| _version_ | 1818965991490584576 |
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| author | Koji MIYAJI Takumi INOUE |
| author_facet | Koji MIYAJI Takumi INOUE |
| author_sort | Koji MIYAJI |
| collection | DOAJ |
| description | Stochastic flow simulation methods based on the polynomial chaos expansion (PCE) are developed and verified to quantify the propagation of a geometric uncertainty of a quasi-one dimensional flow in a supersonic wind tunnel. The effect of uncertainty in the area of diffuser throat, i.e. second throat, on the wind tunnel starting problem is focused on, where a slight change in the area can cause a large jump of the shock wave resulting in a breakdown of the supersonic test conditions. Two major numerical techniques in our intrusive PCE are the multi-wavelet (MW) basis and the multi-element (ME) PCE, in order to properly deal with discontinuous responses of output variables, which are caused by the shock wave and its jump at started/unstarted mode change. Single-element spectral PCE using Legendre basis and the Haar-wavelet are also included as special cases of the MW, and the methods are all compared with Monte-Carlo Simulations (MCS) executed by the deterministic code. Response surfaces of the pressure by the employed PCEs qualitatively agree with the result of MCS except the spectral PCE. Furthermore, from quantitative evaluations by the probability density function (PDF) of the output on a rather complicated response surface with several discontinuities, the ME-PCE best agrees with the MCS at much lower computation costs. |
| first_indexed | 2024-12-20T13:25:48Z |
| format | Article |
| id | doaj.art-4880fef37ffb48aa8ab9a6768deb231f |
| institution | Directory Open Access Journal |
| issn | 1880-5558 |
| language | English |
| last_indexed | 2024-12-20T13:25:48Z |
| publishDate | 2020-01-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Journal of Fluid Science and Technology |
| spelling | doaj.art-4880fef37ffb48aa8ab9a6768deb231f2022-12-21T19:39:15ZengThe Japan Society of Mechanical EngineersJournal of Fluid Science and Technology1880-55582020-01-01151JFST0002JFST000210.1299/jfst.2020jfst0002jfstEvaluation of discontinuity treatment in intrusive polynomial chaos for uncertainty quantification of a nozzle flow in CFDKoji MIYAJI0Takumi INOUE1Division of systems research, Faculty of engineering, Yokohama National UniversityDepartment of Mechanical Engineering, Material Science, and Ocean Engineering, Yokohama National UniversityStochastic flow simulation methods based on the polynomial chaos expansion (PCE) are developed and verified to quantify the propagation of a geometric uncertainty of a quasi-one dimensional flow in a supersonic wind tunnel. The effect of uncertainty in the area of diffuser throat, i.e. second throat, on the wind tunnel starting problem is focused on, where a slight change in the area can cause a large jump of the shock wave resulting in a breakdown of the supersonic test conditions. Two major numerical techniques in our intrusive PCE are the multi-wavelet (MW) basis and the multi-element (ME) PCE, in order to properly deal with discontinuous responses of output variables, which are caused by the shock wave and its jump at started/unstarted mode change. Single-element spectral PCE using Legendre basis and the Haar-wavelet are also included as special cases of the MW, and the methods are all compared with Monte-Carlo Simulations (MCS) executed by the deterministic code. Response surfaces of the pressure by the employed PCEs qualitatively agree with the result of MCS except the spectral PCE. Furthermore, from quantitative evaluations by the probability density function (PDF) of the output on a rather complicated response surface with several discontinuities, the ME-PCE best agrees with the MCS at much lower computation costs.https://www.jstage.jst.go.jp/article/jfst/15/1/15_2020jfst0002/_pdf/-char/enuncertainty quantificationcomputational fluid dynamicspolynomial chaoswaveletshock wave |
| spellingShingle | Koji MIYAJI Takumi INOUE Evaluation of discontinuity treatment in intrusive polynomial chaos for uncertainty quantification of a nozzle flow in CFD Journal of Fluid Science and Technology uncertainty quantification computational fluid dynamics polynomial chaos wavelet shock wave |
| title | Evaluation of discontinuity treatment in intrusive polynomial chaos for uncertainty quantification of a nozzle flow in CFD |
| title_full | Evaluation of discontinuity treatment in intrusive polynomial chaos for uncertainty quantification of a nozzle flow in CFD |
| title_fullStr | Evaluation of discontinuity treatment in intrusive polynomial chaos for uncertainty quantification of a nozzle flow in CFD |
| title_full_unstemmed | Evaluation of discontinuity treatment in intrusive polynomial chaos for uncertainty quantification of a nozzle flow in CFD |
| title_short | Evaluation of discontinuity treatment in intrusive polynomial chaos for uncertainty quantification of a nozzle flow in CFD |
| title_sort | evaluation of discontinuity treatment in intrusive polynomial chaos for uncertainty quantification of a nozzle flow in cfd |
| topic | uncertainty quantification computational fluid dynamics polynomial chaos wavelet shock wave |
| url | https://www.jstage.jst.go.jp/article/jfst/15/1/15_2020jfst0002/_pdf/-char/en |
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