Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 395, Issue -, Pages 186-204Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2019.05.049
Keywords
Hyperbolic partial differential equations; Uncertainty quantification; Stochastic Galerkin method; Euler equations; Roe variable transform
Funding
- DFG [HE5386/14,15, BMBF 05M18PAA, DFG-GRK2326]
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We analyze properties of stochastic hyperbolic systems using a Galerkin formulation, which reformulates the stochastic system as a deterministic one that describes the evolution of polynomial chaos modes. We investigate conditions such that the resulting systems are hyperbolic. We state the eigendecompositions in closed form. A Roe flux is presented and theoretical results are illustrated numerically. (C) 2019 Elsevier Inc. All rights reserved.
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