20.500.12556/DiRROS-21004 Phase-field formulated meshless simulation of axisymmetric Rayleigh-Taylor instability problem 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. two-phase flow phase-field two-dimensionality axisymmetry diffuse approximate method PISO dvofazni tok methoda faznega polja dvo dimenzionalnost osnosimetričnost brezmrežne metode true false true Elsevier Nizozemska Angleški jezik Slovenski jezik © 2024 The Authors Neznano 2024-12-17 07:43:43 2024-12-17 07:43:43 2024-12-18 03:55:06 0000-00-00 00:00:00 2024 0 0 str. 1-14 Part A, art. 105953 Vol. 169 Dec. 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2024-12-01 532:544.27:004.94 0955-7997 10.1016/j.enganabound.2024.105953 207754243 RAZ_Rana_Khush_Bakhat_2024.pdf RAZ_Rana_Khush_Bakhat_2024.pdf 1 3D1FACE41B1022880D7224B5BD3734AD ed9e582a0ddeb3c7cfee0682e0c465f21a7b1cc7beb953e6db6a7d3475584195 15a981e9-bc43-11ef-ba3f-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=29731 https://www.sciencedirect.com/science/article/pii/S0955799724004260 1 42fa70d2-bc42-11ef-ba3f-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=29730 Inštitut za kovinske materiale in tehnologije 0 0 0