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The Quarterly Journal of Mechanics and Applied Mathematics 1948 1(1):196-219; doi:10.1093/qjmam/1.1.196
© 1948 by Oxford University Press
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THE METHOD OF CHARACTERISTICS FOR PROBLEMS OF COMPRESSIBLE FLOW INVOLVING TWO INDEPENDENT VARIABLES

PART I. THE GENERAL THEORY{dagger}

R. E. MEYER1 and S. GOLDSTEIN

( 1Department of Mathematics, The University Manchester )

The paper gives a review of the present state of development of the method of characteristics for the solution of problems of compressible flow.

The theory applies when the flow depends on two independent variables only (one of which may be the time); heat radiation, heat conduction, and viscosity are neglected, and the theory in this form appears to give a good approximation in a large number of practical applications. The flow, if steady, is taken to be supersonic.


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