Using the Enriched Radial Basis Function in Solving the Singular Sudden Expansion Incompressible Fluid Flow

In this paper, we will use radial basis functions (RBFs) to solve the sudden-expansion problem when incompressible fluid flows around a sharp corner. Stress singularities would occur at the sharp corner. Normal ways to deal with the singularities are to add more node points near the sharp corner. This paper adopts a series solution method for enhancing the approximation of the flow around the sharp corner. The original RBF formulation of the problem is modified so that some extra terms of the series solution are added. Our results show that the accuracy has been improved significantly.