An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension
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 capturin...
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MDPI AG
2021-04-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/8/3413 |
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| author | Muhammad Y. Oomar Arnaud G. Malan Roy A. D. Horwitz Bevan W. S. Jones Genevieve S. Langdon |
| author_facet | Muhammad Y. Oomar Arnaud G. Malan Roy A. D. Horwitz Bevan W. S. Jones Genevieve S. Langdon |
| author_sort | Muhammad Y. Oomar |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T12:26:08Z |
| format | Article |
| id | doaj.art-7528b91a8168449caed4e2b9e81e1ea1 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T12:26:08Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-7528b91a8168449caed4e2b9e81e1ea12023-11-21T15:01:06ZengMDPI AGApplied Sciences2076-34172021-04-01118341310.3390/app11083413An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface TensionMuhammad Y. Oomar0Arnaud G. Malan1Roy A. D. Horwitz2Bevan W. S. Jones3Genevieve S. Langdon4Department of Mechanical Engineering, University of Cape Town, Private Bag X3, Rondebosch 7701, South AfricaDepartment of Mechanical Engineering, University of Cape Town, Private Bag X3, Rondebosch 7701, South AfricaDepartment of Mechanical Engineering, University of Cape Town, Private Bag X3, Rondebosch 7701, South AfricaDepartment of Mechanical Engineering, University of Cape Town, Private Bag X3, Rondebosch 7701, South AfricaDepartment of Civil and Structural Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UKThis 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.https://www.mdpi.com/2076-3417/11/8/3413VoFcompressibleHLLCsurface tensionCSFheight functions |
| spellingShingle | Muhammad Y. Oomar Arnaud G. Malan Roy A. D. Horwitz Bevan W. S. Jones Genevieve S. Langdon An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension Applied Sciences VoF compressible HLLC surface tension CSF height functions |
| title | An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension |
| title_full | An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension |
| title_fullStr | An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension |
| title_full_unstemmed | An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension |
| title_short | An All-Mach Number HLLC-Based Scheme for Multi-Phase Flow with Surface Tension |
| title_sort | all mach number hllc based scheme for multi phase flow with surface tension |
| topic | VoF compressible HLLC surface tension CSF height functions |
| url | https://www.mdpi.com/2076-3417/11/8/3413 |
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