Titlebook: Smoothed Particle Hydrodynamics; Fundamentals and Bas Carlos Alberto Dutra Fraga Filho Textbook 2019 The Editor(s) (if applicable) and The

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nuum macroscopic scale, mainly in the implementation of bounThis 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-m

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Textbook 2019equations 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.. .

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Physical-Mathematical Modelling,representated by mathematical partial differential equations. Basic concepts that differentiate the microscopic molecular and macroscopic continuum scales are discussed for the first time. Besides, the presentation of the equation of state for the prediction of the dynamic pressure of a fluid flowin

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Smoothed Particle Hydrodynamics Method,ommon boundary condition techniques applied in SPH. The use of fictitious (virtual, ghost, mirror or dummy) particles, with or without artificial repulsive forces, or dynamic particles is discussed, and boundary conditions techniques which respect the laws of physics and continuum mechanics, as the reflective boundary condition are defended.