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A computational study of inviscid hypersonic flows using energy relaxation method H. D. Kim
The Journal of Mechanical Science and Technology, vol. 22, no. 6, pp.1213-1221, 2008
Abstract : Reasonable analysis of hypersonic flows requires a thermodynamic non-equilibrium model to properly simulate
strong shock waves or high pressure and temperature states in the flow field. The energy relaxation method (ERM) has
been used to model such a non-equilibrium effect which is generally expressed as a hyperbolic system of equations
with a stiff relaxation source term. Relaxation time that is multiplied with source terms is responsible for nonequilibrium
in the system. In the present study, a numerical analysis has been carried out with varying values of relaxation
time for several hypersonic flows with AUSM (advection upstream splitting method) as a numerical scheme. Vibration
modes of thermodynamic nonequilibrium effects are considered. The results obtained showed that, as the relaxation
time reduces to zero, the solution marches toward equilibrium, while it shows non-equilibrium effects, as the
relaxation time increases. The present computations predicted the experiment results of hypersonic flows with good
accuracy. The work carried out suggests that the present energy relaxation method can be robust for analysis of hypersonic
flows.
Keyword :
Hypersonic flows; Energy relaxation method; AUSM; Relaxation time
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