Abstract
Abstract Particle methods are an alternative to the traditional mesh Eulerian methods for solution of fluid dynamics and transport phenomena problems. The Lagrangian Meshless Smoothed Particle Hydrodynamics (SPH) method presents advantages compared to mesh methods as a better visualisation of the spatio-temporal evolution of the flow (and the fluid properties), and a lower computational cost in the study of complex geometries with topological changes, or free surfaces. A computer code has been written for serial computation using FORTRAN Programming Language. Three classical physical problems have been simulated: diffusion in a flat plate, still fluid within an immobile reservoir and dam breaking. In code validation, numerical results obtained showed a good agreement with the analytical and experimental results reported in the literature. The numerical code developed and presented in this work is a valuable tool for the teaching of Physics.
Highlights
The Eulerian view is historically the most commonly used in modelling of physical problems involving fluids and phenomena transport
This paper aims to present the employment of a Lagrangian particle method (Smoothed Particle Hydrodynamics) in the implementation of a computer code for solving certain physical problems
Due to the advances in computer processing techniques, there has been an increase in the applications of the particle methods for solution of problems in fluid mechanics and transport phenomena areas
Summary
The Eulerian view is historically the most commonly used in modelling of physical problems involving fluids and phenomena transport This modelling requires the use of numerical methods employing grids or meshes, such as finite differences, finite volumes and finite elements, for the solution of partial differential equations (PDEs) or integral formulations [1]. The Lagrangian particle model is meshless and has been an alternative applied in research, pointing to the use of more effective computational methods for solving complex problems, providing. Nowadays, the meshless particle methods have become an alternative for the solution of the physical problems, with a promising future, due mainly to the advance of the processing techniques In this context, the learning of the Lagrangian modelling and numerical particle methods is a current need in the courses of Physics. Different kernels can be used, and so that they are considered suitable for interpolation, it is necessary that
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
