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

Li, G., Bhatia, D. and Wang, J. (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), 290. (doi: 10.1007/s40430-020-02374-7)

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Bhatia, Dr Dinesh
• Authors: Li, G., Bhatia, D., and Wang, J.
• College/School: College of Science and Engineering > School of Engineering
• Journal Name: Journal of the Brazilian Society of Mechanical Sciences and Engineering
• Publisher: Springer
• ISSN: 1678-5878
• ISSN (Online): 1806-3691
• Published Online: 12 May 2020
• Copyright Holders: Copyright © 2020 The Author(s)
• First Published: First published in Journal of the Brazilian Society of Mechanical Sciences and Engineering 42(6):290
• Publisher Policy: Reproduced under a Creative Commons licence