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

作者：Surana K S^*; Reddy K P J; Joy A D; Reddy J N

来源：International Journal of Computational Fluid Dynamics, 2014, 28(6-10): 251-271.

DOI：10.1080/10618562.2014.927056

• time marching
• shock tube
• mathematical models
• space-time methods
• 1D normal shock

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 %26lt;br%26gt;[GRAPHICS] %26lt;br%26gt;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.

• 出版日期2014-7-3