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A Volume of Fluid (VoF) based all-mach HLLC Solver for Multi-Phase Compressible Flow with Surface-Tension

This work presents an all-Mach method for two-phase inviscid flow in the presence of surface tension. A modified version of the Hartens, Lax, Leer and Contact (HLLC) approximate Riemann solver based on Garrick et al. [1] is developed and combined with the popular Volume of Fluid (VoF) method: Compre...

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Main Author: Oomar, Muhammad Yusufali
Other Authors: Malan, Arnaud
Format: Thesis
Language:English
Published: Department of Mechanical Engineering 2021
Subjects:
VoF
Compressible
Surface Tension
CSF
Height Functions
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_version_ 1867613760866222080
access_status_str Open Access
author Oomar, Muhammad Yusufali
author2 Malan, Arnaud
author_browse Malan, Arnaud
Oomar, Muhammad Yusufali
author_facet Malan, Arnaud
Oomar, Muhammad Yusufali
author_sort Oomar, Muhammad Yusufali
collection Thesis
description This work presents an all-Mach method for two-phase inviscid flow in the presence of surface tension. A modified version of the Hartens, Lax, Leer and Contact (HLLC) approximate Riemann solver based on Garrick et al. [1] is developed and combined with the popular Volume of Fluid (VoF) method: 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. To ensure compatibility with VoF, the Monotone Upstream-centred Scheme for Conservation Laws (MUSCL) [2] is applied to non-conservative (primitive) variables, which yields both robustness and accuracy. Liquid-gas interface curvature is computed via both height functions [3, 4] and the convolution method [5]. This is in the interest of applicability to both cartesian and arbitrary meshes. The author emphasizes the use of VoF in the interest of surface tension modelling accuracy. The method is validated using a range of test-cases available in literature. The results show flow features that are in agreement with experimental and benchmark data. In particular, the use of the HLLC-VoF combination leads to a sharp volume fraction and energy field with improved accuracy (up to secondorder).
format Thesis
id oai:open.uct.ac.za:11427/33935
institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:41:16.705Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher Department of Mechanical Engineering
publisherStr Department of Mechanical Engineering
record_format dspace
source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/33935 A Volume of Fluid (VoF) based all-mach HLLC Solver for Multi-Phase Compressible Flow with Surface-Tension Oomar, Muhammad Yusufali Malan, Arnaud Langdon, Genevieve VoF Compressible Surface Tension CSF Height Functions This work presents an all-Mach method for two-phase inviscid flow in the presence of surface tension. A modified version of the Hartens, Lax, Leer and Contact (HLLC) approximate Riemann solver based on Garrick et al. [1] is developed and combined with the popular Volume of Fluid (VoF) method: 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. To ensure compatibility with VoF, the Monotone Upstream-centred Scheme for Conservation Laws (MUSCL) [2] is applied to non-conservative (primitive) variables, which yields both robustness and accuracy. Liquid-gas interface curvature is computed via both height functions [3, 4] and the convolution method [5]. This is in the interest of applicability to both cartesian and arbitrary meshes. The author emphasizes the use of VoF in the interest of surface tension modelling accuracy. The method is validated using a range of test-cases available in literature. The results show flow features that are in agreement with experimental and benchmark data. In particular, the use of the HLLC-VoF combination leads to a sharp volume fraction and energy field with improved accuracy (up to secondorder). 2021-09-15T16:33:49Z 2021-09-15T16:33:49Z 2021 2021-09-15T01:41:43Z Master Thesis Masters MSc http://hdl.handle.net/11427/33935 eng application/pdf Department of Mechanical Engineering Faculty of Engineering and the Built Environment
spellingShingle VoF
Compressible
Surface Tension
CSF
Height Functions
Oomar, Muhammad Yusufali
A Volume of Fluid (VoF) based all-mach HLLC Solver for Multi-Phase Compressible Flow with Surface-Tension
thesis_degree_str Master's
title A Volume of Fluid (VoF) based all-mach HLLC Solver for Multi-Phase Compressible Flow with Surface-Tension
title_full A Volume of Fluid (VoF) based all-mach HLLC Solver for Multi-Phase Compressible Flow with Surface-Tension
title_fullStr A Volume of Fluid (VoF) based all-mach HLLC Solver for Multi-Phase Compressible Flow with Surface-Tension
title_full_unstemmed A Volume of Fluid (VoF) based all-mach HLLC Solver for Multi-Phase Compressible Flow with Surface-Tension
title_short A Volume of Fluid (VoF) based all-mach HLLC Solver for Multi-Phase Compressible Flow with Surface-Tension
title_sort volume of fluid vof based all mach hllc solver for multi phase compressible flow with surface tension
topic VoF
Compressible
Surface Tension
CSF
Height Functions
url http://hdl.handle.net/11427/33935
work_keys_str_mv AT oomarmuhammadyusufali avolumeoffluidvofbasedallmachhllcsolverformultiphasecompressibleflowwithsurfacetension
AT oomarmuhammadyusufali volumeoffluidvofbasedallmachhllcsolverformultiphasecompressibleflowwithsurfacetension

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