Smoothed Particle Hydrodynamics Fundamentals and Basic Applications in Continuum Mechanics

This book is based on results obtained over a decade of study and research. It questions the use of dynamic molecular models in the continuum scale providing alternative solutions to open problems in the literature. It provides a physical-mathematical understanding of the differential equations that govern fluid flow and energy transport, serving as a reference to the application of Smoothed Particle Hydrodynamics in continuum fluid mechanics and transport phenomena. The physical-mathematical modelling of the problems in the continuum scale and the employment of the SPH method for solving the equations are presented. Examples of applications in continuum fluid mechanics with numerical results and discussions are also provided. This literature defends the concepts of continuum mechanics and the application of boundary treatment techniques that do not violate the laws of physics.

 

Introduction.- Physical-Mathematical Modelling.- Smoothed Particle Hydrodynamics Method.- Applications in Continuum Fluid Mechanics and Continuum Transport Phenomena.

Carlos Alberto Dutra Fraga Filho is Professor of Engineering at Federal Institute of Espírito Santo, Brazil, and leader of the research group "Development, Implementation and Application of Computational Tools for the Solution of Problems in Engineering" at the same institution. He has experience in Mechanical and Environmental Engineering, with emphasis on Computational Fluid Dynamics, working mainly in the following areas: Lagrangian modelling and Smoothed Particle Hydrodynamics (SPH) Method, Fluid Mechanics and Transport Phenomena.