Analysis of embedded shock waves calculated by relaxation methods.The requirements for uniqueness of the calculated jump conditions across embedded shock waves are investigated for type-dependent difference systems used in transonic flow studies. A mathematical analysis shows that sufficient conditions are (1) the equations should be differenced in conservative form and (2) a special difference operator should be used when switching from a hyperbolic to an elliptic operator. The latter results in a consistency condition on the integral equations, rather than the differential, at these points. Calculated jump conditions for several embedded and detached shock waves are analyzed in the physical and hodograph planes. Comparisons are made with previous results, a time-dependent calculation, and data.
Document ID
19730050328
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Murman, E. M. (NASA Ames Research Center Moffett Field, Calif., United States)