DISCRETIZATION CORRECTED PARTICLE STRENGTH EXCHANGE METHOD FOR STEADY STATE LINEAR ELASTICITY

• Main Author: Adnel, Christopher
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/48229
• Institution: Institut Teknologi Bandung

Discretization corrected particle strength exchange (DC PSE) is a particle based spatial differential operator designed to solve meshless continuum mechanics problems. DC PSE is able to solve for the spatial differential of a particle at any locations when it has sufficient number of neighbouring particles even if the neighbouring particles is randomly distributed in contrast to standard finite difference method where the particle must be distributed in a cartesian grid. In this project, the DC PSE operator is used to solve steady linear elasticity problems in both two-dimensional and three-dimensional domain. The result of the DC PSE numerical simulation is compared to the respective analytical solution, empirical solution, or conventional commercial finite element software. In this project, the simulation time required for different problem sizes using the DC PSE discretization is also of interest and is tabulated as a reference for the reader.