A fractional step local boundary integral element method for unsteady two-dimensional incompressible flow

A meshless local boundary integral method is used to analyse incompressible fluid flow in two-dimensional domains. The method solves the incompressible Navier–Stokes equations in terms of the primitive variables using the characteristic-based split scheme. The basic equations are derived via interpolation using radial basis functions. Three test cases are presented here: unsteady Couette flow and the problems of a lid-driven cavity and a backward-facing step. The procedure produces stable solutions with results comparable to those of other conventional methods.