Shock and Vibration

Shock and Vibration / 2013 / Article

Open Access

Volume 20 |Article ID 528358 | https://doi.org/10.3233/SAV-2012-0744

Iman Harimi, Ahmad Reza Pishevar, "Evaluating the Capability of the Flux-Limiter Schemes in Capturing Strong Shocks and Discontinuities", Shock and Vibration, vol. 20, Article ID 528358, 10 pages, 2013. https://doi.org/10.3233/SAV-2012-0744

Evaluating the Capability of the Flux-Limiter Schemes in Capturing Strong Shocks and Discontinuities

Received21 Dec 2011
Revised09 Sep 2012

Abstract

A numerical study is conducted to investigate the capability of the flux-limiter TVD schemes in capturing sharp discontinuities like shock waves. For this purpose, four classical test problems are considered such as slowly moving shock, gas Riemann problem with high density and pressure ratios, shock wave interaction with a density disturbance and shock-acoustic interaction. The governing equations consist of one-dimensional and quasi-one-dimensional Euler equations solved using an in-house numerical code. In order to validate the solution, the obtained results are compared with other results found in the literature.

Copyright © 2013 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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