20.500.12556/RUL-138693 Meshless simulation of a lid-driven cavity problem with a non-Newtonian fluid The purpose of the present paper is to solve the lid-driven cavity problem for a non-Newtonian power-law shear thinning and shear thickening fluid by a meshless method. Results are presented for Re = 100 and Re = 1000, where different levels of shear thinning and thickening are considered. Furthermore, the lid-driven cavity case is made geometrically more complex by adding several circular-shaped obstacles in the geometry. The Navier-Stokes equations are solved with the local meshless diffuse approximate method. The weighted least squares approximation is structured by using the second-order polynomial basis vector and the Gaussian weight function. The explicit Euler scheme is used to perform the artificial time stepping. The non-incremental pressure correction scheme is used to couple the pressure and the velocity fields. Results are presented in terms of viscosity contours, stream function, velocity vectors, mid-plane velocity and viscosity profiles for the steady state. The numerical method is verified by a comparison with the results obtained from the literature, which are computed with the least squares finite element formulation. Furthermore, an investigation of the node density and node distribution type is performed. A near perfect match with the reference solution and between the structured and unstructured node distribution is found. non-Newtonian fluid power-law meshless methods diffuse-approximate method lid-driven cavity variable viscosity complex geometry nenewtonska tekočina potenčni zakon brezmrežne metode difuzna aproksimacijska metoda gnana kotanja spremenljiva viskoznost zapletena geometrija true false true Angleški jezik Slovenski jezik Članek v reviji 2022-08-09 14:40:44 2022-08-09 14:40:49 2022-09-15 04:17:04 0000-00-00 00:00:00 2021 0 0 Str. 86-99 Vol. 131 Oct. 2021 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 532.5:519.876.5 0955-7997 10.1016/j.enganabound.2021.06.015 69191939 1-s2.0-S0955799721001715-main.pdf 1-s2.0-S0955799721001715-main.pdf 1 E8FEDF4329FA300B2E441E96A23CBE55 bfb0bb0691013ac5be56eead6ec35882e41b69b3bc725d5c5754f887b62a0ad0 89785fdc-17e0-11ed-8aca-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=159100 https://www.sciencedirect.com/science/article/pii/S0955799721001715 1 3559aaec-17e0-11ed-8aca-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=159099 Fakulteta za strojništvo 0 0 0