20.500.12556/RUL-158314 Phase-field formulated meshless simulation of Rayleigh-Taylor instability problem The interface between two immiscible Newtonian liquids with different densities and the same viscosity, influenced by gravity, is based on the Phase-Field Method (PFM) formulation. 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 the inertial and buoyancy terms (non-Boussinesq formulation). The related moving boundary problem is handled through single-domain, irregular, fixed node arrangement in two-dimensional Cartesian coordinates. The meshless DAM uses weighted least squares approximation on overlapping subdomains, polynomial shape functions of second-order and Gaussian weights. Implicit time discretisation is performed for the NS and CH equations in the momentum predictor and Phase-Field (PF) variable corrector steps of PISO, while the momentum corrector steps solve the NS equation explicitly. 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 author's 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. meshless methods simulation numerical method dinamika tekočin brezmrežne metode simulacija numerične metode fluid dynamics true false true Angleški jezik Slovenski jezik Neznano 2024-06-05 08:44:52 2024-06-05 08:44:58 2025-04-21 11:46:36 0000-00-00 00:00:00 2024 0 0 6 str. Vol. 2766, art. 012163 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 532:519.62 1742-6596 10.1088/1742-6596/2766/1/012163 197787651 197654787 Rana,_Mavric,_Sarler-Phase-field_formulated_meshless_simulation_of_Rayleigh-Taylor_instability_problem.pdf Rana,_Mavric,_Sarler-Phase-field_formulated_meshless_simulation_of_Rayleigh-Taylor_instability_problem.pdf 1 44B054D7E2E5C48274BABB894804DE6E 3d38c37f19fc4fcc6c787d1a21175da8cf42f708165437ec59a466844a94b2f8 ec0847d5-2307-11ef-b111-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=185876 https://iopscience.iop.org/article/10.1088/1742-6596/2766/1/012163 1 20ce90f9-2307-11ef-b111-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=185874 Fakulteta za strojništvo 0 0 0