Evolution of weak shocks in one dimensional planar and non-planar gasdynamic flows


Raghavendra Venkatraman;Vishnu D.Sharma;


<正>Asymptotic decay laws for planar and nonplanar shock waves and the first order induced discontinuities that catch up with the shock from behind are obtained using four different approximation methods. The singular surface theory is used to derive a pair of transport equations for the shock strength and the associated first order discontinuity.The asymptotic behavior of both the discontinuities is completely analyzed.It is shown that for a weak shock, the precursor disturbance evolves like an acceleration wave at the leading order.Indeed,the decay of the induced discontinuity is much faster than the decay of the shock.It is noticed that for the




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