For more information about this meeting, contact Yuxi Zheng, Kris Jenssen.
| Title: | Non-uniqueness of entropy solutions and the carbuncle phenomenon |
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| Seminar: | Computational and Applied Mathematics Colloquium |
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| Speaker: | Volker Elling, University of Michigan |
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| Abstract: |
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| In one space dimension, the Godunov scheme can only converge
to entropy solutions, for which uniqueness theorems in various classes
are known. We present an example in 2d where the Godunov scheme converges,
depending on the grid, either to an exact entropy solution or to a second,
numerical solution, which is also produced by all other numerical schemes
tested. We propose that entropy solutions are not unique in 2d. The
observation also yields an explanation for the "carbuncle phenomenon", an
instability in numerical calculations of shock waves. The fundamental
consequences both for numerics and theory will be discussed. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 03 / 27 / 2009 |
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| Time: | 03:35pm - 04:25pm |
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