A Source of Uncertainty in Computed Discontinuous Flows
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It is speculated that some discontinuous weak solutions of boundary-value problems for nonlinear systems of conservation laws are computed, however routinely, with prescribed boundary data insufficient to uniquely determine such a solution. Stationary, transonic fluid flow exemplifies applications of present concern. A supplemental, a posteriori computation is described, which can potentially resolve this issue in any specific case.
KeywordsConservation laws Admissible solutions Discontinuous flow
- 7.Glimm, J., Majda, A.J. (eds.): Multidimensional Hyperbolic Problems and Computations. Springer, Berlin (1991)Google Scholar
- 9.Lax, P.D.: Schock waves and entropy. In: Zarantonello, E.A. (ed.) Contributions to Functional Analysis. Academic Press, New York (1971)Google Scholar
- 13.Pevret, R., Taylor, T.J.: Computational Methods for Fluid Flow. Springer, Berlin (1985)Google Scholar
- 14.Sever, M.: Admissibility of Weak Solutions of Multidimensional Nonlinear Systems of Convervation Laws. Scientific Research Publishing, Wuhan (2018)Google Scholar