[en] The study of fluid dynamics has been a very important subject since ancient times. From the civil engineering applications in roman empire until the study of the air flow in aeronautical engineering, many significant physical applications of fluid dynamics problems are present in human history. However, in the present day with the use of applied mathematics and the power of computation, the focus of fluid dynamics has changed from practical physical experiments to computational simulations. For this reason, it is important to have a solid and rigorous mathematical framework in which to develop the computational solutions of this simulations. The purpose of this study is to give an introduction to computational dynamics by establishing a mathematical framework for the fluid’s particles and properties and explaining computational methods in this framework to compute the flow of a fluid in certain conditions (incompressibility and homogeneity). We will divide this study in three parts.

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Àngel Jorba i Monte