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Navier-Stokes Equations

System of partial differential equations describing the motion of Newtonian fluids, combining conservation of mass and momentum, fundamental for flow modeling.

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Physics-Informed Neural Networks (PINNs)

Neural network architecture integrating physical laws as constraints in the loss function, enabling the solution of partial differential equations without supervised training data.

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AI-Assisted CFD

Hybrid approach combining traditional computational fluid dynamics with machine learning techniques to accelerate simulations and improve prediction accuracy.

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AI-Based Turbulence Modeling

Use of neural networks to model turbulent subgrid scales, replacing traditional RANS models with data-driven approaches.

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Model Reduction by Autoencoders

Dimensionality reduction technique using autoencoders to identify principal modes of fluid flows, enabling real-time simulations while preserving physics.

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Neural Lattice Boltzmann Methods

Simulation approach where the collision and streaming operators of the Lattice Boltzmann method are replaced by neural networks to improve computational efficiency.

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GANs for Flow Generation

Generative adversarial networks trained to produce realistic fluid flow fields, accelerating the generation of initial and boundary conditions for CFD simulations.

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Hybrid AI-Physics Solvers

Algorithms combining traditional numerical solvers with deep learning models to correct errors and accelerate convergence of fluid simulations.

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Transfer Learning in Fluid Dynamics

Adaptation of AI models pre-trained on certain flow regimes to predict behaviors under different conditions, significantly reducing computational costs.

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U-Net for Flow Segmentation

U-shaped convolutional neural network architecture specifically optimized to identify and segment coherent structures in velocity and pressure fields of turbulent flows.

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AI-Driven Topological Fluid Optimization

Application of reinforcement learning to optimize geometric shapes in fluid systems, minimizing pressure losses or maximizing mixing performance.

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Neural Subgrid-Scale Models

Neural networks replacing traditional LES turbulence models to capture the effects of unresolved small scales directly in large-scale simulations.

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Hydrodynamic Instability Prediction

Use of temporal models such as LSTM to predict the onset and evolution of instabilities in flows, enabling preventive active control.

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Deep Collocation in Fluid Mechanics

Training method where collocation points are intelligently distributed in the physical domain to ensure accurate representation of the Navier-Stokes equations.

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Variational Autoencoders in CFD

Generative models learning the latent distribution of flow states to enable interpolation, extrapolation, and sampling of new coherent fluid fields.

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Mesh-Free Neural Solvers

Deep learning-based solvers eliminating the need for traditional meshing, using radial basis functions or other meshless approaches to solve flows.

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Graph Neural Networks for Fluid Networks

Application of graph neural networks to model flows in complex channel or pipe networks where the system topology is naturally represented by a graph.

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Active Flow Control with Reinforcement Learning

Use of reinforcement learning to develop optimal real-time control strategies, reducing drag or eliminating boundary layer separations.

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