LEAST SQUARE MOVING PARTICLE SEMI-IMPLICIT (LSMPS) METHOD FOR STEADY STATE LINEAR ELASTICITY

• Main Author: Alfarisy, Dewangga
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/61635
• Institution: Institut Teknologi Bandung

Least Square Moving Particle Semi-Implicit (LSMPS) Method is a particle based spatial differential operator designed to solve various continuum me- chanics problems by using particle-based method computation. LSMPS is able to solve the spatial derivative of a particle at any given 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 typical cartesian grid. In this study, the LSMPS operator will be used to solve steady linear elasticity problems in both two-dimensional and three-dimensional domain. The result obtained from LSMPS numerical simulation is compared to the respective analytical so- lution, empirical solution, or conventional commercial Finite Element Method (FEM) software. In this study, the simulation time required for each problem using the LSMPS discretization is also the research interest and is tabulated as a reference for the reader.