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This book is an introduction to the use of machine learning and data-driven approaches in fluid simulation and animation, as an alternative to traditional modeling techniques based on partial differential equations and numerical methods – and at a lower computational cost. This work starts with a brief review of computability theory, aimed to convince the reader – more specifically, researchers of more traditional areas of mathematical modeling – about the power of neural computing in fluid animations. In these initial chapters, fluid modeling through Navier-Stokes equations and numerical methods are also discussed. The following chapters explore the advantages of the neural networks approach and show the building blocks of neural networks for fluid simulation. They cover aspects related to training data, data augmentation, and testing. The volume completes with two case studies, one involving Lagrangian simulation of fluids using convolutional neural networks and the other using Generative Adversarial Networks (GANs) approaches.

Differential equations. --- Artificial intelligence. --- Soft condensed matter. --- Computer simulation. --- Differential Equations. --- Artificial Intelligence. --- Fluids. --- Computer Modelling. --- Deep learning (Machine learning) --- Aprenentatge automàtic --- Mecànica de fluids --- Simulació per ordinador

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Fluid mechanics. --- Fluid mechanics --- Thermodynamics. --- Mathematical models. --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat --- Heat-engines --- Quantum theory --- Hydromechanics --- Continuum mechanics --- Mecànica de fluids --- Hidromecànica --- Mecànica dels medis continus --- Dinàmica de fluids --- Hidràulica --- Hidrodinàmica --- Fluids

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Thermodynamics --- Heat --- Combustion --- Fluid mechanics --- Transmission --- Physics --- Thermodynamics and Heat Transfer --- Thermochemistry --- Smoke --- Combustion. --- Fluid mechanics. --- Thermodynamics. --- Chaleur --- Mécanique des fluides --- Transmission. --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Heat-engines --- Quantum theory --- Heat transfer --- Thermal transfer --- Transmission of heat --- Energy transfer --- Hydromechanics --- Continuum mechanics --- Termodinàmica --- Transmissió de la calor --- Combustió --- Mecànica de fluids

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Fluid dynamics. --- Geometric function theory. --- Function theory, Geometric --- Functions of complex variables --- Dynamics --- Fluid mechanics --- Dinàmica de fluids --- Teoria geomètrica de funcions --- Funcions de variables complexes --- Aplicació conforme --- Aplicacions quasiconformes --- Diferencials quadràtiques --- Funcions univalents --- Mecànica de fluids --- Aerodinàmica --- Capa límit --- Equacions de Navier-Stokes --- Fluídica --- Fluïdització --- Hidrodinàmica --- Magnetohidrodinàmica --- Ones de xoc --- Turbulència --- Vòrtexs --- Tixotropia

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This volume explores a range of recent advances in mathematical fluid mechanics, covering theoretical topics and numerical methods. Chapters are based on the lectures given at a workshop in the summer school Waves in Flows, held in Prague from August 27-31, 2018. A broad overview of cutting edge research is presented, with a focus on mathematical modeling and numerical simulations. Readers will find a thorough analysis of numerous state-of-the-art developments presented by leading experts in their respective fields. Specific topics covered include: Chemorepulsion Compressible Navier-Stokes systems Newtonian fluids Fluid-structure interactions Waves in Flows: The 2018 Prague-Sum Workshop Lectures will appeal to post-doctoral students and scientists whose work involved fluid mechanics.

Numerical analysis. --- Computer mathematics. --- Continuum physics. --- Numerical Analysis. --- Computational Science and Engineering. --- Classical and Continuum Physics. --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Computer mathematics --- Electronic data processing --- Mathematics --- Mathematical analysis --- Mecànica de fluids --- Hidromecànica --- Mecànica dels medis continus --- Dinàmica de fluids --- Hidràulica --- Hidrodinàmica --- Fluids