Development and applications of an a posteriori two-dimensional solver for shock tube experiments

Conference item

Shock tube experiments offer the ability to interrogate nonequilibrium thermochemistry relevant to hypersonic flow conditions. To this point, all a posteriori analyses of these flows have been one-dimensional, despite knowledge of two-dimensional effects being present. This work derives and implements a novel method for conducting a posteriori, twodimensional, reacting gas analysis of shock tube flows.
A first order Riemann solver is combined with a 5th order WENO scheme to determine convective fluxes, using two-temperature Roe-average to determine interface properties. A 6 point central order scheme is used to determine viscous fluxes. The resulting highly non-linear set of algebraic equations is solved by Newton iterations. The Jacobian matrix is block tridiagonal with a Schur complement, allowing efficient inversion.
Results from a 8.18 km/s, 1.33 Pa synthetic air condition in a 60.33 cm diameter tube displayed a 10% reduction in radiance due to shock curvature, and 15% increase in radiance behind the shock due to time-offlight effects when compared to quasi-one-dimensional solvers. A Titan entry condition through a 10.16 cm diameter tube showed a 60% increase in radiance behind the shock when compared to quasi-one-dimensional results. This is a direct consequence of integrating line-of-sight measurements through the boundary layer, which contained increased levels of CN and H radiance.

Authors: Clarke, J; Steer, J; McGilvray, M; Di Mare, L

• Publication status: Accepted
• Peer review status: Peer reviewed
• Acceptance date: 2025-03-03
• Event title: 35th International Symposium on Shock Waves (ISSW35)
• Event location: Brisbane, Australia
• Event website: https://mechmining.uq.edu.au/issw35
• Event start date: 2025-07-05
• Event end date: 2025-07-14
• Language: English