A new theory of shock dynamics. Part I: Analytic considerations

Ravindran, Renuka ; Prasad, Phoolan (1990) A new theory of shock dynamics. Part I: Analytic considerations Applied Mathematics Letters, 3 (2). pp. 77-81. ISSN 0893-9659

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/089396...

Related URL: http://dx.doi.org/10.1016/0893-9659(90)90019-8

Abstract

A new theory for the calculation of the successive positions of a shock is suggested here. For one-dimensional problem, it requires integration of a finite number (say, 4 or 5) of ordinary differential equations derived from an infinite system of compatibility conditions. Numerical results in Section 2 show that error is less than 0.1 percent.

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