DISCRETIZATION CORRECTION OF PARTICLE STRENGTH EXCHANGE (DC PSE) OPERATOR FOR 2D STEADY STATE INCOMPRESSIBLE FLOW IN VELOCITY CORRECTION SCHEME

• Main Author: Humaedi - NIM 13614065 , Ahmad
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/25184
• Institution: Institut Teknologi Bandung

<p align="justify">The methods of computational &#64258;uid dynamics are kept being developed to obtain an even moree&#64259;cient program with accurate results. Navier-Stokes velocity vorticity formulation has been studied and developed in several years. The convenient thing of using this formulation that the velocity and vorticity can be solved step by step, unlike the pressure-velocity Navier-Stokes formulation that have to be solved simultaneously. In this study, velocity-vorticity formulations are used in velocity correction scheme to analyse 2D steady incompressible &#64258;ow. <br /> <br /> To use the velocity correction method, solving Poisson equation is necessary. In this study, Discretization-Correction of Particle Strength Exchange (DC PSE) operator is used with &#64257;nite di&#64256;erence method to solve Poisson equation. Discretization correction operator is the operator to discretize directional derivative of the continuous function. As studied before, this operators can improve the robustness of discretization. <br /> <br /> This algorithm will be used to simulate a lid driven cavity &#64258;ow case. In this study, we will see how DC PSE operator a&#64256;ect the algorithm. The results of the simulations show that in a low Reynolds number,the simulation can perform well with comparable result. However, in a high Reynolds number, the resolution of the particle must be increased to obtain comparable result.<p align="justify"> <br />