20.500.12556/DiRROS-21758 Refined radial basis function-generated finite difference analysis of non-Newtonian natural convection In this paper, we present a refined radial basis function-generated finite difference solution for a non-Newtonian fluid in a closed differentially heated cavity. The non-Newtonian behavior is modeled with the Ostwald–de Waele power law and the buoyancy with the Boussinesq approximation. The problem domain is discretized with scattered nodes without any requirement for a topological relation between them. This allows a trivial generalization of the solution procedure to complex irregular three dimensional (3D) domains, which is also demonstrated by solving the problem in a two dimensional (2D) and 3D geometry mimicking a porous filter. The results in 2D are compared with two reference solutions that use the finite volume method in a conjunction with two different stabilization techniques, where we achieved good agreement with the reference data. The refinement is implemented on top of a dedicated meshless node positioning algorithm using piecewise linear node density function that ensures sufficient node density in the center of the domain while maximizing the node density in a boundary layer where the most intense dynamic is expected. The results show that with a refined approach, more than five times fewer nodes are required to obtain the results with the same accuracy compared to the regular discretization. The paper also discusses the convergence with refined discretization for different scenarios for up to nodes, the impact of method parameters, the behavior of the flow in the boundary layer, the behavior of the viscosity, and the geometric flexibility of the proposed solution procedure. prenos toplote konvekcija true false true AIP Publishing ZDA Angleški jezik Slovenski jezik © Author(s) 2025 Neznano 2025-03-25 12:06:49 2025-03-25 12:06:49 2025-10-24 03:49:45 0000-00-00 00:00:00 2025 0 0 8 str. Iss. 3 Vol. 37 2025 0000-00-00 Zaloznikova Objavljeno apc 2025-01-13 2025-02-24 2025-03-13 532 1070-6631 10.1063/5.0257896 230006531 RAZ_Rot_Miha_2025.pdf RAZ_Rot_Miha_2025.pdf 1 F795176D1B4817DE1257C658726CC949 6ee19a9610a05cb0ac7f5bf3ac4a356c6183e758003158c10b0b7f45c28aa276 ac77b9e9-096a-11f0-963a-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=31338 Institut Jožef Stefan 0 0 0