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

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, shoc...

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Bibliographic Details
Main Authors: Iman Harimi, Ahmad Reza Pishevar
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-2012-0744
Description
Summary: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.
ISSN:1070-9622
1875-9203