Further studies on numerical instabilities of Godunov-type schemes for strong shocks

DOI10.1016/j.camwa.2021.10.008OpenAlexW3206681007MaRDI QIDQ2239102

Wenjia Xie, Zhengyu Tian, Ye Zhang, Weijie Ren, Hang Yu

Publication date: 2 November 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.01866

zbMATH Keywords

finite volumeRiemann solverhypersoniccarbuncleGodunov-type schemesshock instability

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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A rotated lattice Boltzmann flux solver with improved stability for the simulation of compressible flows with intense shock waves at high Mach number

Uses Software

• HLLE

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