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

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 base...

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Main Authors: Li, Guangning, Bhatia, Dinesh, Wang, Jian
Format: Article
Language:English
Published: 2020
Subjects:
Online Access:https://eprints.nottingham.ac.uk/61349/
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author Li, Guangning
Bhatia, Dinesh
Wang, Jian
author_facet Li, Guangning
Bhatia, Dinesh
Wang, Jian
author_sort Li, Guangning
building Nottingham Research Data Repository
collection Online Access
description 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).
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spelling nottingham-613492020-08-19T02:24:14Z https://eprints.nottingham.ac.uk/61349/ Compressive properties of Min-mod-type limiters in modelling shockwave-containing flows Li, Guangning Bhatia, Dinesh Wang, Jian 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). 2020-05-12 Article PeerReviewed application/pdf en cc_by https://eprints.nottingham.ac.uk/61349/1/ilovepdf_merged%20%2814%29.pdf Li, Guangning, 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 Limiter function; Min-mod limiter; SWBLI; Grid independent; Hybrid-order analysis http://dx.doi.org/10.1007/s40430-020-02374-7 doi:10.1007/s40430-020-02374-7 doi:10.1007/s40430-020-02374-7
spellingShingle Limiter function; Min-mod limiter; SWBLI; Grid independent; Hybrid-order analysis
Li, Guangning
Bhatia, Dinesh
Wang, Jian
Compressive properties of Min-mod-type limiters in modelling shockwave-containing flows
title Compressive properties of Min-mod-type limiters in modelling shockwave-containing flows
title_full Compressive properties of Min-mod-type limiters in modelling shockwave-containing flows
title_fullStr Compressive properties of Min-mod-type limiters in modelling shockwave-containing flows
title_full_unstemmed Compressive properties of Min-mod-type limiters in modelling shockwave-containing flows
title_short Compressive properties of Min-mod-type limiters in modelling shockwave-containing flows
title_sort compressive properties of min-mod-type limiters in modelling shockwave-containing flows
topic Limiter function; Min-mod limiter; SWBLI; Grid independent; Hybrid-order analysis
url https://eprints.nottingham.ac.uk/61349/
https://eprints.nottingham.ac.uk/61349/
https://eprints.nottingham.ac.uk/61349/