My podcast with Conor Daly: 🎙️
Physics-Informed Neural Networks (PINNs) integrate known physical laws into neural network learning, particularly for solving differential equations.
💦
@FlipFluids
+ Blender = Beautiful Fluid Mechanics 💦
FLIP Fluids is a powerful liquid simulation addon that gives you the ability to create high quality cinematic fluid effects all within Blender!
Explain the Normal Distribution to a Gym Bro.👇
The normal distribution is a continuous probability distribution that plays a central role in probability theory and statistics.
Φ-SO : Physical Symbolic Optimization - Learning Physics from Data 🧠
The Physical Symbolic Optimization package uses deep reinforcement learning to discover physical laws from data. Here is Φ-SO discovering the analytical expression of a damped harmonic oscillator.
How to solve a maze without AI? 🤔
Use Laplace's equation:
1. Mesh the maze
2. Set Dirichlet BCs ϕ = 0 at start and ϕ = 1 at end
3. Set homogeneous Neumann BCs everywhere else
4. Solve ∇²ϕ = 0
5. Go to the start and follow the gradient
⚡Physics-Informed Neural Networks (PINN)⚡
PINNs are neural networks that are trained to solve supervised learning tasks while respecting any given laws of physics described by general nonlinear partial differential equations.
👉 Full Tutorial:
Art 🎨 & AI 🧠
Using the new Outpainting capability of DALL-E 2, creator Orb Amsterdam asked OpenAI to help him imagine how the landscape could look like between famous impressionist paintings from Van Gogh, Monet, Munch and Hokusai.
⚡F1 Car rear wing DRS activation - CFD simulation⚡
The drag reduction system (DRS) is a form of driver-adjustable bodywork aimed at reducing aerodynamic drag in order to increase top speed and promote overtaking.
Simulation Owner: Luke Morgan
🌊 Wait for it...A perfect standing wave in a computer controlled wave pool 🌊
A standing wave is one that is formed by the combination of two waves moving in opposite directions, but having equal frequency and amplitude.
⚡Yann LeCun (
@ylecun
) in 1993 demoing LeNet-1⚡
This was the world's first convolutional neural network for handwriting recognition. Today—29 years later—this same approach powers the majority of computer vision.
A historical moment for machine learning!
The Navier-Stokes Equations 💦
In 1845, Sir George Stokes had derived the equation of motion of a viscous flow by adding Newtonian viscous terms, thereby the NSEs had been brought to their final form which has been used to generate numerical solutions for fluid flow ever since.
The Navier-Stokes Equations 💦
In 1845, Sir George Stokes had derived the equation of motion of a viscous flow by adding Newtonian viscous terms, thereby the NSEs had been brought to their final form which has been used to generate numerical solutions for fluid flow ever since.
How to solve a maze without AI? 🤔
Use Laplace's equation:
1. Mesh the maze
2. Set Dirichlet BCs ϕ = 0 at start and ϕ = 1 at end
3. Set homogeneous Neumann BCs everywhere else
4. Solve ∇²ϕ = 0
5. Go to the start and follow the gradient
📚 Writing a Scientific Article: A Step-by-Step Guide for Beginners
Many young researchers find it extremely difficult to write scientific articles, and few receive specific training in the art of presenting their research work in written format.
⚡SpaceX Super Heavy Engine Steering Test⚡
A close-up footage of underneath the Starship Super Heavy rocket Booster 4 test vehicle that is equipped with 29 powerful Raptor engines.
@elonmusk
Art 🎨 & AI 🧠
Using the new Outpainting capability of DALL-E 2, creator Orb Amsterdam asked OpenAI to help him imagine how the landscape could look like between famous impressionist paintings from Van Gogh, Monet, Munch and Hokusai.
In 1845, Sir George Stokes had derived the equation of motion of a viscous flow by adding Newtonian viscous terms, thereby the Navier-Stokes Equations had been brought to their final form which has been used to generate numerical solutions for fluid flow ever since.
⚡Karman Vortex Street Behind an Airfoil (NACA 4412)⚡
An attempt to visualize Karman vortex street behind an airfoil. This flow visualization experiment was carried out in a 6" water tunnel.
⚡Karman Vortex Street Behind an Airfoil (NACA 4412)⚡
An attempt to visualize Karman vortex street behind an airfoil. This flow visualization experiment was carried out in a 6" water tunnel.
🧠 Neural network learning to approximate Sine-function 🧠
Universal approximation theorems are results that establish the density of an algorithmically generated class of functions within a given function space of interest.
💻 Github:
🌀 Wait for it...Head-on Vortex Ring Collision 🌀
Visualisation of a simulation for a flow setup that mimics the lab configuration of Lim & Nickels in nature (1992).
⚡Metamorphic Wing ⚡
These prototypes optimise real-time
#aerodynamics
and reduces fuel consumption
This amazing example of biomimetics was made by the German Aerospace Center (DLR).
⚡ Flexible Airfoil⚡
An example of how the airfoil shape could change in flight to boost performance over a wide range of angles of attack, indicated airspeeds and Mach levels. What are your thoughts on this design?
⚡ MATLAB + ChatGPT = MatGPT ⚡
An open-source MATLAB app and class to call ChatGPT directly from MATLAB. It was developed by MathWorkers to help the community be more productive.
Repository here:
🌊 The Wave Equation 🌊
The wave equation is a partial differential equation that describes the propagation of various types of waves.
The equation appears throughout many fields in physics, including acoustics, fluid dynamics, electromagnetism, and quantum mechanics.
The eyes retain their natural color and blinks, and there’s even a disconnect feature in case you look too far away, to transition smoothly between simulated and real eyes.
🌎 Learn More:
⚙️ Generative Design ⚙️
Generative design is an iterative, exploratory design process that uses AI-based software to generate multiple design solutions that meet specific requirements.
⚡Flexible Airfoil⚡
An example of how the airfoil shape could change in flight to boost performance over a wide range of angles of attack, indicated airspeeds and Mach levels. What are your thoughts on this design?
What happens within your mug when you stir your coffee? ☕
In this OpenFOAM case we get to see this process unfold, courtesy of Computation Fluid Dynamics (CFD). 🧵👇
☁️ Fluid Mechanics in Action – Banner Cloud Billowing over the Rock of Gibraltar ☁️
If a lone mountain defies to the wind as an only obstacle, the air will flow around and over the obstacle.
⚡SfePy: Simple Finite Elements in Python⚡
SfePy is a software for solving systems of coupled partial differential equations (PDEs) by the finite element method in 1D, 2D and 3D.
🌎 Official Website:
⚡The most commonly used numerical methods to approximate the solution of the transient Advection-Diffusion Equation are the Finite Difference Method (FDM), the Finite Volume Method (FVM), and the Finite Element Method (FEM)⚡
🧵👇
Why is Pringles a hyperbolic paraboloid ❓🤔
The saddle shape allowed for easier stacking of chips. This also minimized the possibility of broken chips during transport. Since it is a saddle, there is no predictable way to break it up.
⚡Effect of Reynolds Number on Fluid Flow around a Cylinder⚡
The effect of Reynolds number on a 2D incompressible viscous flow around a cylinder. The flow field is color coded according to velocity.👇
⚡ The Wave Equation⚡
The wave equation is a partial differential equation that describes the propagation of various types of waves.
The equation appears throughout many fields in physics, including acoustics, fluid dynamics, electromagnetism, and quantum mechanics.
🏀 The Magnus Effect 🏀
The Magnus Effect is a physical phenomenon whereby a spinning object creates a low-pressure zone on one side and a high-pressure zone on the other. This pressure difference causes a force that pushes the object in the direction of the low-pressure zone👇
⚡Aerodynamics of Different Geometries - 2d Navier Stokes Simulation⚡
The video shows the result of a numerical simulation of a compressible air flow around the silhouettes of four different geometries, i.e. a disk, a droplet shape, a rectangle, and the stanford bunny. 🧵👇
🌀 Instability in the Collision of Two Vortex Rings 🌀
When an instability brings vortex filaments of opposite circulation together, these filaments can rejoin in a process called reconnection. 🧵👇
⚡ State-of-the-Art Computational Fluid Dynamics (CFD) in Aeronautics Research⚡
NASA Advanced Supercomputing Division enables the use of state-of-the-art computational fluid dynamics (CFD) methods for predicting aerodynamic flows.
☕ Have you ever wondered why you spill your coffee while walking?
The natural frequency of coffee in an average mug is about 4 Hertz. When we walk, we often walk in rhythm close to this frequency, and this results in the resonance effect and coffee sloshing around👇
🚁Helicopter Main Rotor Blade In Flight Slow Motion🚁
👉 The black devices you can see in the video are so-called pendulum (or pendular) absorbers: Vibration suppression of helicopter blades by pendulum absorbers
💦SIMULIA XFlow -Tank Sloshing Simulation💦
The main concept behind virtual testing is to use either classical physics-based simulations (such as Computational Fluid Dynamics) or a data-driven approach using Monolith to train self-learning models on
#engineering
test data. 🧵👇