Date of Award

8-27-2024

Publication Type

Thesis

Degree Name

M.A.Sc.

Department

Mechanical, Automotive, and Materials Engineering

Keywords

Dam Break;Incompressible fluid;Sloshing Problem;Smoothed Particles Hydrodynamics

Supervisor

Aleksandr Cherniaev

Supervisor

Carlo Rosso

Abstract

The smoothed-particles hydrodynamics method (SPH) – in which the continuum is modeled as the arbitrary lattice of interacting particles/interpolation points – is often advantageous in modeling scenarios involving extreme deformations, fluid motion, and fragmentation over traditional mesh-based techniques. This study is focused on developing an SPH solver for simulating the motion of incompressible fluids, including the following tasks: • Development of the interface with the pre- and post-processing software. • Implementation of the SPH solver for Navier-Stokes equations in MATLAB. • Identification of the most efficient technique for density calculation within the SPH solver through comparison of the “Summation Density” and the “Rate Density” algorithms. • Validation of the developed SPH solver against three benchmark physical experiments: (i) dam break, (ii) dam break with a ramp, and (iii) fall of a droplet in water. • Solving a practical problem using the developed SPH solver, involving a comparison of baffle designs to reduce sloshing in an automobile fuel tank.

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