Tomographic reconstruction of shock layer flows

Faletic, R., Houwing, A. F. P. and Boyce, R. R. (2007) Tomographic reconstruction of shock layer flows. Shock Waves, 17 3: 153-170. doi:10.1007/s00193-007-0098-6

Author Faletic, R.
Houwing, A. F. P.
Boyce, R. R.
Title Tomographic reconstruction of shock layer flows
Journal name Shock Waves   Check publisher's open access policy
ISSN 0938-1287
Publication date 2007-11
Sub-type Article (original research)
DOI 10.1007/s00193-007-0098-6
Volume 17
Issue 3
Start page 153
End page 170
Total pages 8
Place of publication Heidelberg, Germany
Publisher Springer
Language eng
Subject 090107 Hypersonic Propulsion and Hypersonic Aerodynamics
Formatted abstract
The tomographic reconstruction of supersonic flows faces two challenges. Firstly, techniques used in the past, such as the direct Fourier method (DFM) (Gottlieb and Gustafsson in On the direct Fourier method for computer tomography, 1998; Morton inTomographic imaging of supersonic flows, 1995) or various backprojection (Kak and Slaney in Principles of computerized tomographic imaging, vol. 33 in Classics in Applied Mathematics, 2001) techniques, have only been able to reconstruct areas of the flow which are upstream of any opaque objects, such as a model. Secondly, shock waves create sharp discontinuities in flow properties, which can be difficult to reconstruct both in position and in magnitude with limited data. This paper will present a reconstruction method, matrix inversion using ray-tracing and least squares conjugate gradient (MI-RLS), which uses geometric ray-tracing and a sparse matrix iterative solver Paige and Saunders in ACM Trans. Math. Softw. 8(1):43– 71, 1982) to overcome both of these challenges. It will be shown, through testing with a phantom object described in tomographic literature, that the results compare favourably to those produced by theDFMtechnique. Finally, the method will be used to reconstruct three-dimensional density fields from interferometric shock layer images, with good resolution.
Keyword Tomography
Shock waves
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ
Additional Notes This paper was based on work that was presented at the 3rd International Symposium on Interdisciplinary Shock Wave Research, Canberra, Australia, March 1–3, 2006.

Document type: Journal Article
Sub-type: Article (original research)
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