Compressive properties of Min-mod-type limiters in modelling shockwave-containing flows

Li, Guangning and Bhatia, Dinesh and Wang, Jian (2020) Compressive properties of Min-mod-type limiters in modelling shockwave-containing flows. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 42 (6). ISSN 1678-5878

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Abstract

The long-ignored compressive properties of Min-mod-type limiter is investigated in this manuscript by demonstrating its potential in numerically modelling shockwave-containing flows, especially in shock wave/boundary layer interaction (SWBLI) problems. Theoretical studies were firstly performed based on Sweby’s total variation diminishing (TVD) limiter region and Spekreijse’s monotonicity-preserving limiter region to indicate Min-mod-type limiters’ compressive properties. The influence of limiters on the solution accuracy was evaluated using a hybrid-order analysis method based on the grid-independent study in three typical shockwave-containing flows. The conclusions are that, Min-mod-type limiter can be utilized as a dissipative and/or compressive limiter, but depending on the reasonable value of the compression parameter. The compressive Min-mod limiter tends to be more attractive in modelling shockwave-containing flows as compared to other commonly preferred limiters because of its stable computational process and its high-resolution predictions. However, the compressive Min-mod limiter may suffer from its slightly poor convergence, as that observed in other commonly accepted smooth limiters in modelling SWBLI problems. © 2020, The Author(s).

Item Type: Article
Additional Information: This is an Open access article which licensed under a Creative Commons Attribution 4.0 International License
Keywords: Limiter function; Min-mod limiter; SWBLI; Grid independent; Hybrid-order analysis
Schools/Departments: University of Nottingham Ningbo China > Faculty of Science and Engineering > School of Aerospace
Identification Number: https://doi.org/10.1007/s40430-020-02374-7
Depositing User: QIU, Lulu
Date Deposited: 19 Aug 2020 02:24
Last Modified: 19 Aug 2020 02:24
URI: http://eprints.nottingham.ac.uk/id/eprint/61349

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