Study on the numerical schemes for hypersonic flow simulation |
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Authors: | S P Nagdewe G R Shevare Heuy-Dong Kim |
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Institution: | 1. School of Mechanical Engineering, Andong National University, Andong, Gyungsangbuk, 760-749, South Korea 2. Department of Aerospace Engineering, Indian Institute of Technology Bombay, Powai, Mumbai, 400-076, India
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Abstract: | Hypersonic flow is full of complex physical and chemical processes, hence its investigation needs careful analysis of existing
schemes and choosing a suitable scheme or designing a brand new scheme. The present study deals with two numerical schemes
Harten, Lax, and van Leer with Contact (HLLC) and advection upstream splitting method (AUSM) to effectively simulate hypersonic
flow fields, and accurately predict shock waves with minimal diffusion. In present computations, hypersonic flows have been
modeled as a system of hyperbolic equations with one additional equation for non-equilibrium energy and relaxing source terms.
Real gas effects, which appear typically in hypersonic flows, have been simulated through energy relaxation method. HLLC and
AUSM methods are modified to incorporate the conservation laws for non-equilibrium energy. Numerical implementation have shown
that non-equilibrium energy convect with mass, and hence has no bearing on the basic numerical scheme. The numerical simulation
carried out shows good comparison with experimental data available in literature. Both numerical schemes have shown identical
results at equilibrium. Present study has demonstrated that real gas effects in hypersonic flows can be modeled through energy
relaxation method along with either AUSM or HLLC numerical scheme. |
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