A possible counterexample to well posedness of entropy solutions and to Godunov scheme convergence-Reference-Cited by-同舟云学术

A possible counterexample to well posedness of entropy solutions and to Godunov scheme convergence

Published:2006-06-19 Issue:256 Volume:75 Page:1721-1733
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Elling Volker

Abstract

A particular case of initial data for the two-dimensional Euler equations is studied numerically. The results show that the Godunov method does not always converge to the physical solution, at least not on feasible grids. Moreover, they suggest that entropy solutions (in the weak entropy inequality sense) are not well posed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/2006-75-256/S0025-5718-06-01863-1/S0025-5718-06-01863-1.pdf

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