OpenOceanModels

Next, we’ll explore what happens when nonlinear advection interacts with other forces. Stay tuned.

#NavierStokes #FluidDynamics #NonlinearAdvection #Oceanography #OpenOceanModels

YouTube video by OpenOceanModels Exercise #9. Nonlinear Advection: When Velocity Deforms Itself

🎥 Watch the simulation:
www.youtube.com/watch?v=VTZK...

💻 Code and explanation:
bit.ly/NS_nonlinear...

This is pure nonlinear dynamics in action.
No net momentum is created—just redistributed through self-advection.

We start from rest—no viscosity, no pressure gradient, no Coriolis force. Just a sharp velocity front.

The result?
The front deforms: faster regions overtake slower ones, turning a step into a ramp.

🌊 OpenOceanModels – Case #9
This time, we isolate nonlinear advection in the Navier–Stokes equations.
What happens when the flow transports itself?

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This is entry #8 in the OpenOceanModels series, where we isolate individual terms from Navier–Stokes to better understand geophysical flows.

#OpenOceanModels #NavierStokes #FluidDynamics #Viscosity #OceanModeling #Python #NumericalSimulation

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💻 Run the simulation yourself. The Python code is here:
bit.ly/OOM_momentum...

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🔬 A clean setup to understand how viscosity operates in a fluid.
📽️ Watch the full animation:
www.youtube.com/watch?v=BA4j...

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The higher the curvature of velocity, the stronger the diffusion.
That’s why the center of the Gaussian decays first and fastest.

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We start with a Gaussian velocity pulse and watch it evolve.
No wave, no drift.
Just smoothing.
Just spreading.
This is momentum diffusion in its purest form.

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What happens when we isolate only viscosity in the Navier–Stokes equations?
In this case, we strip everything else—no Coriolis, no pressure gradients, no advection. Just local acceleration and viscous diffusion.

YouTube video by OpenOceanModels Exercise #7. Acoustic Wave: Pressure-Driven Acceleration in Navier–Stokes Equations

💻 Code (Python):
bit.ly/OOM_acoustic...

🎥 Full simulation:
www.youtube.com/watch?v=1aJa...

#OpenOceanModels #NavierStokes #Acoustics #Sound #FluidDynamics #Oceanography #Python

🌬 In the atmosphere, this mechanism is central.
🌊 In the ocean, it’s usually negligible — which is why many models filter it out.

But conceptually?
It’s a clean, beautiful example of how pressure alone can create motion.

In this setup:
✖ No Coriolis
✖ No viscosity
✖ No advection
Just pressure pushing fluid parcels and generating motion.

By focusing only on how pressure drives motion, we recover the classical wave equation.
This governs how sound waves propagate in air — or any compressible medium.

YouTube video by OpenOceanModels Exercise #7. Acoustic Wave: Pressure-Driven Acceleration in Navier–Stokes Equations

🔊 What does an acoustic wave look like in its purest form?
In Exercise #7 of OpenOceanModels, we isolate just two terms of the Navier–Stokes equations:
🟢 Local acceleration
🟢 Pressure gradient
🎬 www.youtube.com/watch?v=1aJa...
🧵👇

6/6 🔜 Next episodes: we'll progressively add other terms (pressure, viscosity, etc.) to build a deeper intuition of ocean & atmospheric fluid dynamics.

#OpenOceanModels #Oceanography #FluidDynamics #InertialOscillation #Science

5/6 💻 Want the code? Find it here:
bit.ly/OOM_inertial...

YouTube video by OpenOceanModels Exercise #6. Inertial Oscillations: Isolating Terms in Navier–Stokes Equations

4/6 🎥 See inertial oscillations in action:
youtu.be/Vw8OAoujJm0

3/6 🌀 In this episode, we focus on just the time derivative and the Coriolis term. The resulting motion? Inertial oscillations—fluid parcels moving in circular paths due solely to Earth's rotation.

2/6 💡 By simplifying! We isolate terms in the equations to see what happens when only specific forces act on fluid parcels.

🧪1/6 🌊 OpenOceanModels #6 is live!
We're tackling the Navier–Stokes equations—the heart of ocean & atmosphere dynamics. They don't have analytical solutions, so how do we understand them?

YouTube video by OpenOceanModels Exercise #5. Coastal Kelvin Waves: Ocean's Hidden Rhythm

(7/7) Watch the animation here 👉 youtu.be/DedkjGfDtpw

#Oceanography #KelvinWaves #ScienceThread

(6/7) Dive deeper, explore the code, and learn more here 👉 bit.ly/coastal_kelv...

(5/7) This example draws inspiration from Exercise 15 of Jochen Kaempf’s fantastic "Ocean Modelling for Beginners," which lays out the theory behind our model.

(4/7) First explained by the legendary physicist Lord Kelvin in the late 19th century, these waves reveal the subtle interplay between rotation and ocean dynamics.

(3/7) These waves journey along coastlines, always keeping the coast to their right in the Northern Hemisphere, and intriguingly, they reach maximum amplitude exactly at the shoreline.

(2/7) Now, we dive into Coastal Kelvin Waves—extraordinary ocean waves steered by Earth's rotation.

🌊 Coastal Kelvin Waves: Ocean's Hidden Rhythm 🌊

(1/7) Back to the fascinating world of waves! Earlier, we explored wave interference and saw how buoyancy itself can behave rhythmically like waves.

7/ 🧪 Try it yourself:
bit.ly/OOM_wind_dri...

Modify wind and friction to see how they shape the gyre’s strength and structure.

Let’s make ocean modeling open and accessible! 🌊
#OpenOceanModels #Oceanography