20.500.12556/DiRROS-18276 Formulation of the method of fundamental solutions for two-phase Stokes flow The method of fundamental solutions with a subdomain technique is used for the solution of the free boundary problem associated with a two-phase Stokes flow in a 2D geometry. The solution procedure is based on the collocation of the boundary conditions with the Stokeslets. It is formulated for the flow of unmixing fluids in contact, where the velocity, pressure field, and position of the free boundary between the fluids must be determined. The standard formulation of the method of fundamental solutions is, for the first time, upgraded for the case with mixed velocity and pressure boundary conditions and verified on a T-splitter single-phase flow with unsymmetric pressure boundary conditions. The standard control volume method is used for the reference solution. The accurate evaluation of the velocity derivatives, which are required to calculate the balance of forces at the free boundary between the fluids, is achieved in a closed form in contrast to previous numerical attempts. An algorithm for iteratively calculating the position of the free boundary that involves displacement, smoothing and repositioning of the nodes is elaborated. The procedure is verified for a concurrent flow of two fluids in a channel. The velocity and velocity derivatives show fast convergence to the analytical solution. The developed boundary meshless method is easy to code, accurate and computationally efficient since only collocation at the fixed and free boundaries is needed. Stokes equations two-phase flow free boundary problems method of fundamental solutions subdomain technique Stokesove enačbe dvofazni tok problem proste meje metoda temeljnih rešitev true false false Elsevier Nizozemska Angleški jezik Slovenski jezik © 2023 The Author(s). Published by Elsevier Ltd. Neznano 2024-02-28 10:22:19 2024-02-28 10:22:19 2024-03-14 09:13:22 0000-00-00 00:00:00 2024 0 0 str. 199-210 Vol. 158 Jan. 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2024-01-01 532:519.62 0955-7997 10.1016/j.enganabound.2023.10.024 171090179 https://www.sciencedirect.com/science/article/pii/S0955799723005167 1 7d5aaaeb-d612-11ee-900a-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=24820 RAZ_Rek_Zlatko_2024.pdf RAZ_Rek_Zlatko_2024.pdf 1 0A7D9EA17267294FF8DC63407B19A3A3 a6368e98c2cd1f12b8e3261e03d312b08db2850705566a00d916178b7dd86c41 96fc030f-d614-11ee-900a-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=24821 Inštitut za kovinske materiale in tehnologije 0 0 0