PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Yuxi Zheng, Kris Jenssen.

Title:Non-uniqueness of entropy solutions and the carbuncle phenomenon
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Volker Elling, University of Michigan
Abstract:
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
Date:03 / 27 / 2009
Time:03:35pm - 04:25pm