Grid convergence analysis for MUSCL-based numerical scheme in shockwave-containing flows

Li, G., Bhatia, D. , Xu, M. and Wang, J. (2019) Grid convergence analysis for MUSCL-based numerical scheme in shockwave-containing flows. MATEC Web of Conferences, 257, 02001. (doi: 10.1051/matecconf/201925702001)

Abstract

This paper investigated the influence of limiter functions widely utilized in MUSCL-type (Monotone Upstream-centred Schemes for Conservation Laws) upwind numerical schemes on the solution accuracy of shockwave-containing flows. An incident shock interacting with laminar boundary layer developed on a flat plate was numerically simulated with the in-house developed code. A mixed-order grid convergence study was performed to assess the spatial errors of different limiters in simulating the selected shockwave-containing flow on flat plate. The conclusions are that, limiter functions implemented in the current in-house code play the critical roles in accurately predicting shockwave-containing flows. The mixed-order error estimator based on grid convergence study was proved to be applicable to evaluate the spatial errors of shockwave-containing flows, where the shock could reduce the nominal second- or third-order accuracy to first-order. The mixed-order estimator is conservative in the sense that the actual error is less than the error estimated, in the examined case.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Bhatia, Dr Dinesh
• Authors: Li, G., Bhatia, D., Xu, M., and Wang, J.
• College/School: College of Science and Engineering > School of Engineering
• Journal Name: MATEC Web of Conferences
• Publisher: EDP Sciences
• ISSN: 2261-236X
• ISSN (Online): 2261-236X
• Published Online: 16 January 2019
• Copyright Holders: Copyright © 2019 The Authors
• First Published: First published in MATEC Web of Conferences 257:02001
• Publisher Policy: Reproduced under a Creative Commons licence