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Title: Numerical study of non-uniqueness for 2D compressible isentropic Euler equations.
In this paper, we numerically study a class of solutions with spiraling singularities in vorticity for two-dimensional, inviscid, compressible Euler systems, where the initial data have an algebraic singularity in vorticity at the origin. These are different from the multi- dimensional Riemann problems widely studied in the literature. Our computations provide numerical evidence of the existence of initial value problems with multiple solutions, thus revealing a fundamental obstruction toward the well-posedness of the governing equations. The compressible Euler equations are solved using the positivity-preserving discontinuous Galerkin method.  more » « less
Award ID(s):
2006884
PAR ID:
10339305
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Journal of computational physics
Volume:
445
ISSN:
1090-2716
Page Range / eLocation ID:
110588
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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