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Riemann shock tube: 1D normal shocks in air, simulations and experiments

Surana, KS and Reddy, KPJ and Joy, AD and Reddy, JN (2014) Riemann shock tube: 1D normal shocks in air, simulations and experiments. In: INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 28 (6-10). pp. 251-271.

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Official URL: http://dx.doi.org/ 10.1080/10618562.2014.927056

Abstract

This paper presents numerical simulation of the evolution of one-dimensional normal shocks, their propagation, reflection and interaction in air using a single diaphragm Riemann shock tube and validate them using experimental results. Mathematical model is derived for one-dimensional compressible flow of viscous and conducting medium. Dimensionless form of the mathematical model is used to construct space-time finite element processes based on minimization of the space-time residual functional. The space-time local approximation functions for space-time p-version hierarchical finite elements are considered in higher order GRAPHICS] spaces that permit desired order of global differentiability of local approximations in space and time. The resulting algebraic systems from this approach yield unconditionally positive-definite coefficient matrices, hence ensure unique numerical solution. The evolution is computed for a space-time strip corresponding to a time increment Delta t and then time march to obtain the evolution up to any desired value of time. Numerical studies are designed using recently invented hand-driven shock tube (Reddy tube) parameters, high/low side density and pressure values, high- and low-pressure side shock tube lengths, so that numerically computed results can be compared with actual experimental measurements.

Item Type: Journal Article
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Additional Information: Copyright for this article belongs to the TAYLOR & FRANCIS LTD, 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND
Keywords: time marching; shock tube; mathematical models; space-time methods; 1D normal shock
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 12 Jan 2015 06:48
Last Modified: 12 Jan 2015 06:48
URI: http://eprints.iisc.ernet.in/id/eprint/50602

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