A Source of Uncertainty in Computed Discontinuous Flows

Michael Sever

doi:10.1007/s10915-019-00992-5

A Source of Uncertainty in Computed Discontinuous Flows

Michael Sever^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1266-1296
Number of pages	31
Journal	Journal of Scientific Computing
Volume	81
Issue number	3
DOIs	https://doi.org/10.1007/s10915-019-00992-5
State	Published - 1 Dec 2019

Bibliographical note

Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

Admissible solutions
Conservation laws
Discontinuous flow

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10.1007/s10915-019-00992-5

Cite this

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A Source of Uncertainty in Computed Discontinuous Flows

Abstract

Bibliographical note

Keywords

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