Propagation of geometric uncertainties in heat transfer problems solved by RBF-FD meshless method

The design of engineering components must take into account the manufacturing tolerances production processes since they lead to uncertainties in behaviour products. It is therefore valuable practical interest quantify such uncertainties, with particular reference problems involving geometrical boundaries. This task carried out present work by coupling Non-Intrusive Polynomial Chaos (PC) method, employed for quantification a Radial Basis Function Finite Differences (RBF-FD) meshless numerical simulations. PC method formulation allows use existing deterministic solvers accurate prediction sought random response, i.e., statistic moments involved variables. RBF-FD as black box solver required set defined over domains. main advantage traditional mesh-based methods its capability easily deal complex-shaped domains no mesh required. flexibility even more advantageous context geometric uncertainty different solutions geometries are applicability proposed approach then presented through effects tube heat exchanger under natural convection where 2D steady incompressible flow considered.