Perpustakaan Digital ITB

In the field of engineering, many applications involve complex geometries. Classical fluid flow simulations of these problems often require difficult and time consuming mesh generation. Meshless methods come with the hope to overcome the limitation by eliminating the mesh altogether by using a set of particles arbitrarily distributed in the domain without any interconnectivity. Among meshless methods, DC PSE (Discretization Corrected Particle Strength Exchange) is one which is found to be numerically robust, especially for irregular node configurations. In this work, fully meshless 2D incompressible Navier-Stokes solver is developed using DC PSE operator discretization. The Steady Navier-Stokes equations are represented in velocity-vorticity formulation. Iterative velocity correction scheme is employed to ensure continuity equation of the velocity field. Two well-known and established benchmark problems, the lid driven cavity flow and the flow over a backward-facing step are tested in order to evaluate the accuracy of the solver. In addition, the solution of a flow over a cylinder in a rectangular channel is also presented. The results demonstrate that the developed solver produces wellcomparable result with the widely accepted literatures.