A characteristic-based split meshless local Petrov–Galerkin method for unsteady three-dimensional incompressible fluid flow

A meshless local Petrov-Galerkin (MLPG) method has been developed for solving 3D incompressible isothermal laminar flow problems.It is derived from the local weak form of the Navier-Stokes equations by using the general MLPG concept.By incorporating the multi quadrics radial basis function (MQ-RBF) approximations for trial functions, the local weak form is discretized, and is integrated over the local subdomain for the unsteady incompressible fluid flow analysis.The present numerical technique uses characteristic-based split algorithm to solve Navier-Stokes equations in terms of primitive variables.A test case of lid-driven cavity flow is presented.The numerical procedure produces stable solutions with results comparable to those of other conventional methods.