Research on the impact of shock wave to extensionality of POD method

Jing Li, Weiwei Zhang, Xintao Li

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, flow reconstruction accuracy and flow prediction capability of discontinuous transonic flow field by means of proper orthogonal decomposition (POD) method is studied. The ability to reconstruct and predict flow flied is called extensionality of POD method in this paper. Although, only using a few modes, we can capture the information of subsonic flow field. When it counters the shock wave, the smoothness of the solution near the shock wave cannot be guaranteed. The modal coefficients are interpolated or extrapolated and different modal components are superposed to realize the prediction of the flow field beyond the snapshot sets. Results show that compared with the subsonic flow, the transonic flow with shock wave requires more POD modes to reach a comparative reconstruction accuracy. When a shock wave exists, the interpolation prediction ability is acceptable. However, large errors exist in extrapolation, and increasing the number of POD modes cannot effectively improve the prediction accuracy of the flow field.

Original languageEnglish
Title of host publication30th Congress of the International Council of the Aeronautical Sciences, ICAS 2016
PublisherInternational Council of the Aeronautical Sciences
ISBN (Electronic)9783932182853
StatePublished - 2016
Event30th Congress of the International Council of the Aeronautical Sciences, ICAS 2016 - Daejeon, Korea, Republic of
Duration: 25 Sep 201630 Sep 2016

Publication series

Name30th Congress of the International Council of the Aeronautical Sciences, ICAS 2016

Conference

Conference30th Congress of the International Council of the Aeronautical Sciences, ICAS 2016
Country/TerritoryKorea, Republic of
CityDaejeon
Period25/09/1630/09/16

Keywords

  • POD
  • Prediction
  • Reconstruction
  • Shock wave
  • Transonic flow

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