A local boundary integral method for two-dimensional particle-driven gravity currents simulation

A meshless local boundary integral equation method (LBIEM) is used to analyse gravity currents flow in two-dimensional domains. The method solves the incompressible Navier–Stokes equations with a transport equation for the particle concentration. The characteristic-based split scheme is used to solve the governing equations. The LBIEM basic equations are derived via interpolation using radial basis functions. Two numerical test cases are presented here; both are focused on the typical lock-exchange channel flow. The LBIEM procedure produces stable solutions with results comparable to those of other conventional methods.