An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension

dc.contributor.authorOomar, Muhammad Y
dc.contributor.authorMalan, Arnaud G
dc.contributor.authorHorwitz, Roy A D
dc.contributor.authorJones, Bevan W S
dc.contributor.authorLangdon, Genevieve S
dc.date.accessioned2021-10-14T14:49:03Z
dc.date.available2021-10-14T14:49:03Z
dc.date.issued2021-04-10
dc.date.updated2021-04-23T13:42:53Z
dc.description.abstractThis paper presents an all-Mach method for two-phase inviscid flow in the presence of surface tension. A modified version of the Hartens–Lax–van Leer Contact (HLLC) solver is developed and combined for the first time with a widely used volume-of-fluid (VoF) method: the compressive interface capturing scheme for arbitrary meshes (CICSAM). This novel combination yields a scheme with both HLLC shock capturing as well as accurate liquid–gas interface tracking characteristics. It is achieved by reconstructing non-conservative (primitive) variables in a consistent manner to yield both robustness and accuracy. Liquid–gas interface curvature is computed via height functions and the convolution method. We emphasize the use of VoF in the interest of interface accuracy when modelling surface tension effects. The method is validated using a range of test-cases available in the literature. The results show flow features that are in sensible agreement with previous experimental and numerical work. In particular, the use of the HLLC-VoF combination leads to a sharp volume fraction and energy field with improved accuracy.en_US
dc.identifier10.3390/app11083413
dc.identifier.apacitationOomar, M. Y., Malan, A. G., Horwitz, R. A. D., Jones, B. W. S., & Langdon, G. S. (2021). An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension. <i>Applied Sciences</i>, 11(8), 3413. http://hdl.handle.net/11427/35250en_ZA
dc.identifier.chicagocitationOomar, Muhammad Y, Arnaud G Malan, Roy A D Horwitz, Bevan W S Jones, and Genevieve S Langdon "An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension." <i>Applied Sciences</i> 11, 8. (2021): 3413. http://hdl.handle.net/11427/35250en_ZA
dc.identifier.citationOomar, M.Y., Malan, A.G., Horwitz, R.A.D., Jones, B.W.S. & Langdon, G.S. 2021. An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension. <i>Applied Sciences.</i> 11(8):3413. http://hdl.handle.net/11427/35250en_ZA
dc.identifier.ris TY - Journal Article AU - Oomar, Muhammad Y AU - Malan, Arnaud G AU - Horwitz, Roy A D AU - Jones, Bevan W S AU - Langdon, Genevieve S AB - This paper presents an all-Mach method for two-phase inviscid flow in the presence of surface tension. A modified version of the Hartens–Lax–van Leer Contact (HLLC) solver is developed and combined for the first time with a widely used volume-of-fluid (VoF) method: the compressive interface capturing scheme for arbitrary meshes (CICSAM). This novel combination yields a scheme with both HLLC shock capturing as well as accurate liquid–gas interface tracking characteristics. It is achieved by reconstructing non-conservative (primitive) variables in a consistent manner to yield both robustness and accuracy. Liquid–gas interface curvature is computed via height functions and the convolution method. We emphasize the use of VoF in the interest of interface accuracy when modelling surface tension effects. The method is validated using a range of test-cases available in the literature. The results show flow features that are in sensible agreement with previous experimental and numerical work. In particular, the use of the HLLC-VoF combination leads to a sharp volume fraction and energy field with improved accuracy. DA - 2021-04-10 DB - OpenUCT DP - University of Cape Town IS - 8 J1 - Applied Sciences LK - https://open.uct.ac.za PY - 2021 T1 - An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension TI - An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension UR - http://hdl.handle.net/11427/35250 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/35250
dc.identifier.vancouvercitationOomar MY, Malan AG, Horwitz RAD, Jones BWS, Langdon GS. An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension. Applied Sciences. 2021;11(8):3413. http://hdl.handle.net/11427/35250.en_ZA
dc.language.isoenen_US
dc.publisher.departmentDepartment of Mechanical Engineering
dc.publisher.facultyFaculty of Engineering and the Built Environmenten_US
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en_US
dc.sourceApplied Sciencesen_US
dc.source.journalissue8en_US
dc.source.journalvolume11en_US
dc.source.pagination3413en_US
dc.source.urihttps://www.mdpi.com/journal/applsci
dc.titleAn All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tensionen_US
dc.typeJournal Articleen_US
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