| Title: | Phase-field formulated meshless simulation of axisymmetric Rayleigh-Taylor instability problem |
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| Authors: | ID Rana, Khush Bakhat (Author)
ID Mavrič, Boštjan (Author)
ID Zahoor, Rizwan (Author)
ID Šarler, Božidar (Author) |
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| Files: |  PDF - Presentation file, download (3,87 MB)
MD5: 3D1FACE41B1022880D7224B5BD3734AD
 URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0955799724004260
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMT - Institute of Metals and Technology
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| Abstract: | A formulation of the immiscible Newtonian two-liquid system with different densities and influenced by gravity is based on the Phase-Field Method (PFM) approach. The solution of the related governing coupled Navier-Stokes (NS) and Cahn-Hillard (CH) equations is structured by the meshless Diffuse Approximate Method (DAM) and Pressure Implicit with Splitting of Operators (PISO). The variable density is involved in all the terms. The related moving boundary problem is handled through single-domain, irregular, fixed node arrangement in Cartesian and axisymmetric coordinates. The meshless DAM uses weighted least squares approximation on overlapping subdomains, polynomial shape functions of second-order and Gaussian weights. This solution procedure has improved stability compared to Chorin's pressure-velocity coupling, previously used in meshless solutions of related problems. The Rayleigh-Taylor instability problem simulations are performed for an Atwood number of 0.76. The DAM parameters (shape parameter of the Gaussian weight function and number of nodes in a local subdomain) are the same as in the authors’ previous studies on single-phase flows. The simulations did not need any upwinding in the range of the simulations. The results compare well with the mesh-based finite volume method studies performed with the open-source code Gerris, Open-source Field Operation and Manipulation (OpenFOAM®) code and previously existing results. |
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| Keywords: | two-phase flow, phase-field, two-dimensionality, axisymmetry, diffuse approximate method, PISO |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.12.2024 |
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| Publisher: | Elsevier |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 1-14 |
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| Numbering: | Vol. 169, Part A, art. 105953 |
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| Source: | Nizozemska |
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| PID: | 20.500.12556/DiRROS-21004  |
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| UDC: | 532:544.27:004.94 |
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| ISSN on article: | 0955-7997 |
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| DOI: | 10.1016/j.enganabound.2024.105953 |
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| COBISS.SI-ID: | 207754243 |
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| Copyright: | © 2024 The Authors |
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| Publication date in DiRROS: | 17.12.2024 |
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| Views: | 34 |
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| Downloads: | 14 |
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