An analysis of the incompressible viscous flows problem by meshless method

Generally the incompressible viscous flow problem is described by the Navier--Stokesequation. Based on the weighted residual method the discrete formulation ofelement-free Galerkin is inferred in this paper. By the step-by-step computation inthe field of time, and adopting the least-square estimation of the-same-order shift,this paper has calculatedboth velocity and pressure from the decoupling independent equations.Each time fraction Newton--Raphson iterative method is applied forthe velocity and pressure. Finally, this paper puts the method intopractice of the shear-drive cavity flow, verifying the validity,high accuracy and stability.