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A Source of Uncertainty in Computed Discontinuous Flows

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Abstract

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.

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  1. Department of Mathematics, The Hebrew University, Jerusalem, Israel

    Michael Sever

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  1. Michael Sever
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Correspondence to Michael Sever.

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Sever, M. A Source of Uncertainty in Computed Discontinuous Flows. J Sci Comput 81, 1266–1296 (2019). https://doi.org/10.1007/s10915-019-00992-5

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  • DOI: https://doi.org/10.1007/s10915-019-00992-5

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