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https://hdl.handle.net/10356/155590| Title: | A carbuncle cure for the Harten-Lax-van Leer contact (HLLC) scheme using a novel velocity-based sensor | Authors: | Vevek, U. S. Zang, B. New, Tze How |
Keywords: | Engineering::Mechanical engineering | Issue Date: | 2021 | Source: | Vevek, U. S., Zang, B. & New, T. H. (2021). A carbuncle cure for the Harten-Lax-van Leer contact (HLLC) scheme using a novel velocity-based sensor. Applied Mathematics and Mechanics, 42(9), 1259-1278. https://dx.doi.org/10.1007/s10483-021-2762-6 | Project: | MOE2014-T2- 1-002 | Journal: | Applied Mathematics and Mechanics | Abstract: | A hybrid numerical flux scheme is proposed by adapting the carbuncle-free modified Harten-Lax-van Leer contact (HLLCM) scheme to smoothly revert to the Harten-Lax-van Leer contact (HLLC) scheme in regions of shear. This hybrid scheme, referred to as the HLLCT scheme, employs a novel, velocity-based shear sensor. In contrast to the non-local pressure-based shock sensors often used in carbuncle cures, the proposed shear sensor can be computed in a localized manner meaning that the HLLCT scheme can be easily introduced into existing codes without having to implement additional data structures. Through numerical experiments, it is shown that the HLLCT scheme is able to resolve shear layers accurately without succumbing to the shock instability. | URI: | https://hdl.handle.net/10356/155590 | ISSN: | 0253-4827 | DOI: | 10.1007/s10483-021-2762-6 | Schools: | School of Mechanical and Aerospace Engineering | Rights: | © 2021 The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
| Appears in Collections: | MAE Journal Articles |
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| A carbuncle cure for the Harten-Lax-van Leer contact (HLLC) scheme using a novel velocity-based sensor.pdf | 2.78 MB | Adobe PDF |  View/Open |
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