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Fluid Modeling Through Navier–Stokes Equations and Numerical Methods

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Deep Learning for Fluid Simulation and Animation

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Abstract

Fluid dynamics is a field of physics that focuses on the study of the behavior of liquids and gases in motion. It explores the laws governing fluid movement and the forces they exert on objects they come into contact with. The motion of fluids is described by mathematical equations that consider factors such as velocity, pressure, and applied forces. These equations are based on the principles of mass and momentum conservation. This chapter introduces the Smoothed Particle Hydrodynamics (SPH) method and some variations of the traditional approach for simulating fluids. SPH is a Lagrangian method based on particles.

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Author information

Authors and Affiliations

  1. National Laboratory for Scientific Computing, Petrópolis, Rio de Janeiro, Brazil

    Gilson Antonio Giraldi & Liliane Rodrigues de Almeida

  2. Institute of Computing, Federal University of Bahia, Salvador, Bahia, Brazil

    Antonio Lopes Apolinário Jr.

  3. Campus Petrópolis, Federal Center for Technological Education Celso Suckow da Fonseca – RJ, Petrópolis, Rio de Janeiro, Brazil

    Leandro Tavares da Silva

Authors
  1. Gilson Antonio Giraldi
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  2. Liliane Rodrigues de Almeida
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  3. Antonio Lopes Apolinário Jr.
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  4. Leandro Tavares da Silva
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Antonio Giraldi, G., Almeida, L.R.d., Lopes Apolinário Jr., A., Silva, L.T.d. (2023). Fluid Modeling Through Navier–Stokes Equations and Numerical Methods. In: Deep Learning for Fluid Simulation and Animation. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-031-42333-8_3

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