Tomographic background-oriented schlieren techniques for three-dimensional density field reconstruction in shock-containing flows

Rhiannon Kirby, Dominic Tan, C. Atkinson, D. Edgington-Mitchell

Research output: Chapter in Book/Report/Conference proceedingConference PaperOther


Two measurement techniques for acquiring pixel displacement data for tomographic background oriented schlieren are compared; the first analyses image pairs of an optimised random-dot pattern using a conventional cross-correlation algorithm. The second evaluates optical flow displacements for image pairs of a fractal texture background composed of multi-scale wavelet noise. Quasi-3D tomographic reconstruction is performed under the parallel-ray assumption using an algebraic method, initialised with large-gradient regions from a filtered back-projection gradient inversion, for improved clarity and noise reduction. Reconstruction of the near-field density of a highly underexpanded jet from an elliptical nozzle of aspect ratio 2:1 is performed using both optical flow and cross-correlation displacement fields. Diffraction effects at the Mach disk are seen to produce strong artefacts in reconstructed gradient fields. Differences in gradient components from optical flow and cross-correlation are effectively smoothed by Poisson integration, yielding similar final density distributions, stressing that selection of a suitably accurate method for integration of the Poisson equation is required to preserve increased fidelity of gradient fields. Good qualitative agreement in shock structure is found with respect to existing studies.

Original languageEnglish
Title of host publicationProceedings of the Asia Pacific Conference on Combustion 2017
Publication statusPublished - 2017
EventAsia Pacific Conference on Combustion 2017 - Sydney, Australia
Duration: 10 Dec 201714 Dec 2017
Conference number: 11th


ConferenceAsia Pacific Conference on Combustion 2017
Abbreviated titleASPACC 2017
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