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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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 |
|---|---|
| Publication: | INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS |
| Publisher: | TAYLOR & FRANCIS LTD |
| 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.ac.in/id/eprint/50602 |
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