MATEC Web Conf.
Volume 257, 20192018 International Conference on Progress in Mechanical and Aerospace Engineering (PMAE 2018)
|Number of page(s)||5|
|Section||Materials Science and Mechanical Engineering|
|Published online||16 January 2019|
Grid Convergence Analysis for MUSCL-based Numerical Scheme in Shockwave-containing Flows
School of Astronautics, Northwestern Polytechnical University, Xi’an, Shaanxi, 710072, China
2 School of Mechanical and Aerospace Engineering, Faculty of Science, Engineering, and Computing, Kingston University, Roehampton Vale campus, Friars Avenue, SW15, 3DW, London, UK
3 Military Technological College, Muscat Governorate, Oman
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.
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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