Eigenstructure-preserving scheme for a hyperbolic system
Computational Physics
2019-06-19 v1 Fluid Dynamics
Plasma Physics
Abstract
A hyperbolic system must have a set of linearly independent eigenvectors and corresponding real eigenvalues. In numerical simulations, however, the eigenvalues can be complex because truncation errors pollute a characteristic polynomial of the hyperbolic system. Here we propose an eigenstructure-preserving scheme which always generates the real eigenvalues, even in discrete level. Although the eigenstructure is discussed in a non-conservative formulation, the proposed scheme is locally conservative owing to the skew-symmetric operators.
Keywords
Cite
@article{arxiv.1906.07320,
title = {Eigenstructure-preserving scheme for a hyperbolic system},
author = {Takashi Shiroto and Akinobu Matsuyama and Nobuyuki Aiba},
journal= {arXiv preprint arXiv:1906.07320},
year = {2019}
}
Comments
6 pages, 5 figures