20.500.12556/RUL-158329 On different implementations of boundary conditions in the meshless RBF-FD method for phase-field modelling of dendritic solidification Dendritic morphology is one of the most common microstructures in solidifying metallic materials. The phase-field method represents one of the most suitable approaches for modelling the evolution of dendritic morphology. In this paper, the meshless RBF-FD method and forward Euler scheme are used to solve the partial differential equations arising from the phase-field model for dendritic growth. We consider the growth of a single dendrite into a supercooled pure melt. On the computational domain's surfaces, we apply symmetric boundary conditions. Special care has to be taken in the RBF-FD method to satisfy boundary conditions accurately. In this paper, we test four different implementations of boundary conditions. In the first one, the boundary conditions are incorporated when constructing an interpolation problem in local support domains containing boundary nodes. In the second one, the interpolation problem in the local support domains does not consider boundary conditions, which are satisfied by solving a system of linear equations for values in all boundary nodes at each time step. The third one complements the second one with the use of ghost nodes. The fourth implementation is an alternative one, where the values in ghost nodes are determined by direct mirroring. The accuracy and computational efficiency of all four implementations are compared. We discuss the advantages and disadvantages of each implementation. We show that using ghost nodes is recommended for implementing Neumann boundary conditions in the RBF-FD method. dendritic growth phase-field method meshless methods boundary conditions dendritska rast metoda faznega polja brezmrežne metode robni pogoji true false true Angleški jezik Slovenski jezik Neznano 2024-06-06 07:24:07 2024-06-06 07:24:14 2025-04-21 11:44:54 0000-00-00 00:00:00 2024 0 0 6 str. Vol. 2766, art. 012162 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.62 1742-6596 10.1088/1742-6596/2766/1/012162 197919747 197654787 Dobravec,_Mavric,_Sarler-On_different_implementations_of_boundary_conditions_in_the_meshless_RBF-FD_method_for_phase-field_modelling_of_dendritic_solidification.pdf Dobravec,_Mavric,_Sarler-On_different_implementations_of_boundary_conditions_in_the_meshless_RBF-FD_method_for_phase-field_modelling_of_dendritic_solidification.pdf 1 AA99A933AEC3E7144551AAFC2746B5F0 06efc628a1b8b2b8c4a3b56642889e133e7c4b3c73e13cffeb094d102be71ee2 e3f5cc85-23c6-11ef-be61-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=185912 https://iopscience.iop.org/article/10.1088/1742-6596/2766/1/012162 1 0568f7b3-23c5-11ef-be61-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=185911 Fakulteta za strojništvo 0 0 0