A particular case of initial data for the two-dimensional Euler equations is studied numerically. The results show that the Godunov method does not always converge to the physical solution, at least not on feasible grids. Moreover, they suggest that entropy solutions (in the weak entropy inequality sense) are not well posed.
(TODO: mention that @cite_28 fig 30 p. 296 is our example if the wedge is replaced by stagnation air; see p. 345 Fig 69. Quote: All these and other mathematically possible flow patterns with a singular center Z are at our disposal for interpreting experimental evidence. Which, if any, of these possibilities occurs under given circumstances is a question that cannot possibly be decided within the framework of a theory with such a high degree of indeterminacy. Here we have a typical instance of a theory incomplete and oversimplified in its basic assumptions; only by going more deeply into the physical basis of our theory, i.e. by accounting for heat conduction and viscosity, can we hope to clarify completely the phenomena at a three-shock singularity. It may well be that the boundary layer which develops along the constant discontinuity line modifies the flow pattern sufficiently to account for the observed deviation; [...quote Liepmann paper]''
@cite_28
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Keywords: ecoulement : compressible ; ecoulement : supersonique ; onde de : choc Reference Record created on 2005-11-18, modified on 2016-08-08