Mathematical analysis for simulation of incompressible fluid flow

The omnipresence and complexity of physical phenomena drive the strong search for tools capable of simulating them, since many applications require computationally viable, reliable and, preferably, low-cost simulations. Thus, a priori, this work has two objectives: i) understand the theoretical foun...

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Detalles Bibliográficos
Autores: Santos, Rômulo Damasclin Chaves dos, Sales, Jorge Henrique de Oliveira
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:Brasil
Institución:Universidade Federal de Viçosa (UFV)
Repositorio:The Journal of Engineering and Exact Sciences
Idioma:inglés
OAI Identifier:oai:ojs.periodicos.ufv.br:article/17392
Acceso en línea:https://periodicos.ufv.br/jcec/article/view/17392
Access Level:acceso abierto
Palabra clave:Computational Fluid Dynamics. Navier-Stokes Equations. SPH Simulation.
Dinâmica dos Fluidos Computacional. Equações de Navier-Stokes. Simulação SPH.
Dinámica de fluidos computacional.
Ecuaciones de Navier-Stokes.
Simulación SPH.
Dynamique des fluides computationnelle.
Équations de Navier-Stokes.
Simulation SPH.
Descripción
Sumario:The omnipresence and complexity of physical phenomena drive the strong search for tools capable of simulating them, since many applications require computationally viable, reliable and, preferably, low-cost simulations. Thus, a priori, this work has two objectives: i) understand the theoretical foundations of fluid dynamics with an important computational method aimed at simulating incompressible flows, called SPH (Smoothed Particle Hydrodynamic), which will subsequently be implemented; and ii) assist in the consolidation and application of key concepts in mathematical analysis for computer simulation. Our efforts in this work provide mathematical foundations, which in turn, describe the dynamics of fluid dynamic motion.