NONSTANDARD ANALYSIS OF A CONVERGING SHOCK WAVE IN A NONIDEAL GAS

The problem of propagation of strong plane and converging shock waves in an unsteady inviscid nonideal gas is studied. A nonstandard analysis is used to derive the jump conditions for both shock waves. It is assumed that the jump occurs on an infinitesimal interval andjump functions in the flow parameters are smooth across this interval. The distribution of the flow parameters across the shock wave are expressed in terms of the Heaviside functions. Numerical computation to study the distribution of the flow parameters is performed.
Автор:  Singh L. P., Mithilesh Singh, Husain A.
Ключевые слова:  converging shock wave, nonstandard analysis, nonideal gas.
Стр:  6