A class of non-oscillatory direct-space-time schemes for hyperbolic conservation laws

Solmaz Mousavi Yeganeh and Javad Farzi

Applied Mathematics and Computation, 2021, vol. 399, issue C

Abstract: The main concern of this paper is to develop a class of non-oscillatory direct-space-time (DST) schemes for hyperbolic conservation laws. This class of DST schemes have optimal order of accuracy, however, similar to the standard schemes the naive implementation of these schemes produce oscillatory and unstable solutions. To study the nonlinear stability of DST schemes, a TVD flux limiter is introduced, and it is proven that the overall method is a TVD scheme. The numerical illustrations justify the non-oscillatory behaviour of the developed class of schemes in presence of shocks and discontinuities. It is worth to note that the underlying DST schemes include both of the upwind and symmetric schemes and the resulting TVD DST scheme produce comparable results with the standard non-oscillatory schemes like WENO schemes.

Keywords: High resolution schemes; Non-oscillatory schemes; Hyperbolic conservation laws; DST schemes; Upwind and symmetric schemes (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300321000618
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:399:y:2021:i:c:s0096300321000618

DOI: 10.1016/j.amc.2021.126013

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().