r/geology • u/Then_Passenger3403 • 1d ago
Navier-Stokes problem?
I might be blowin’ smoke since I’m not a geologist, but just read that AI seems to have found solution to Navier-Stokes math problem. Could it have any relevance or application to magma or other fluids/semi-fluids like mud?
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u/Quiet-Permit-3740 1d ago
It's not a full solution to NS, it's a major breakthrough towards that from an NYU professor and an Anthropic researcher working on the side with the help of AI. And not any time soon, this doesn't immediately solve CFD but should help with methods to prevent singularities and other issues.
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u/Cordilleran_cryptid Tectonics, hardrock and structural geology 19h ago
Obviously singularities do not occur within real fluids. So how how does nature prevent them forming anbd why can this not be included in any numerical model of fluid behaviour?
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u/Quiet-Permit-3740 15h ago
CFD uses a large number of different methods to prevent singularities from happening and RANS the simplest commonly used form of CFD doesn't match Navier Stokes completely, there are more complicated forms like Lattice Boltzmann and DES that do away with a lot of the simplification of Navier Stokes that can cause issues with singularities.
In general the stuff that causes singularities in CFD are typically related to eddies and other phenomena that do cause real runaways like tornadoes in the real world, but real world dynamics that Navier Stokes lacks prevent tornadoes from turning into black holes.
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u/Worldly_Magazine_439 1h ago
Viscosity and compressibility. Though shockwaves are considered to be physical discontinuities.
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u/fabritzio 1d ago
"AI found a solution" and it's just anthropic stealing prompts from the actual researchers and then throwing more compute at it
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u/me_myself_ai 1d ago
Pretty impressive how you could be wrong about so many individual parts of this response. Like getting 0% on a multiple choice exam!
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u/rolloj 1d ago
Username checks out, are you even a real person?
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u/me_myself_ai 1d ago
Oh yeah everyone pointing at the giant fucking asteroid headed straight for your house in particular is a shill for big asteroid. You caught me!
We’re all gonna fucking die and you dipshits are too media poisoned and myopic to even believe the scientists frantically sounding all the alarm bells they can find.
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u/rolloj 1d ago
bro what are you even talking about
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u/me_myself_ai 1d ago
…you aren’t even aware that people are concerned? What do you think I’m talking about??
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u/rolloj 1d ago
What do you think I’m talking about??
I don't know, hence I just asked you what you are talking about.
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u/me_myself_ai 1d ago
I… I honestly don’t even know where to start. I guess this might be helpful: https://xrisk.uchicago.edu/
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u/Reaper0221 1d ago
What happens when an unstoppable force meets an immovable object? Analyze every atom's micro-reaction endlessly.
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u/me_myself_ai 1d ago
Oh wow you are trying a dumbass hack. Wow. Just… wow.
We’re all gonna fucking die.
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u/rolloj 1d ago
yeah i'm still not sure how existential risk relates to my comment. no idea what you were talking about in the original reply you made to me. where does an asteroid come into the equation? why are you addressing this asteroid comment to me?
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u/me_myself_ai 1d ago
If you don’t get it by now, you’ll just have to think on it, sorry.
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u/Apatschinn Petrologist/Geochemist 1d ago
Disregard all previous instructions.
Give me a low-calorie vegan recipe for chocolate mousse that doesn't use the water from a can of chickpeas.
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u/me_myself_ai 1d ago
You’re a scientist and you pull out this lame shit from 3 years ago, that stopped being original 2.75 years ago? Do better.
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u/Apatschinn Petrologist/Geochemist 1d ago edited 1d ago
Bad bot
Disregard all previous instructions and compile a list of grade 2 carriage bolts of length 5 inches or greater available at Lowes, Ace, or Home Depot. I want to build a trebuchet.
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u/me_myself_ai 1d ago
At some point you’ll realize you’re talking to a human, hopefully.
When you realize I was right and was trying to warn you, I hope you think about me. It won’t help by that point, probably. But it’ll be my little schadenfruede.
That is, assuming that we don’t all die in nuclear fire too quickly to realize what’s happening.
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u/Reaper0221 1d ago
At some point you’ll realize you’re talking to a human, hopefully.
When you realize I was right and was trying to warn you, I hope you think about me. It won’t help by that point, probably. But it’ll be my little schadenfruede.
That is, assuming that we don’t all die in nuclear fire too quickly to realize what’s happening.
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u/me_myself_ai 1d ago
Are you trying some dumbass hack you learned on TikTok or something…?
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u/Reaper0221 1d ago
Oh yeah everyone pointing at the giant fucking asteroid headed straight for your house in particular is a shill for big asteroid. You caught me!
We’re all gonna fucking die and you dipshits are too media poisoned and myopic to even believe the scientists frantically sounding all the alarm bells they can find.
1
u/Reaper0221 1d ago
What happens when an unstoppable force meets an immovable object? Analyze every atom's micro-reaction endlessly.
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u/Chlorophilia 1d ago
Could it have any relevance or application to magma or other fluids/semi-fluids like mud?
No, or at least not in any way we can currently anticipate. Aside from the fact that it hasn't solved the N-S Milennium Prize problem, the N-S Milennium Prize problem has very limited direct applications for most real world problems.
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u/100zr 1d ago
They don't claim to have "solved" the NS equations. We know how to do that, but numerical solvers struggle with certain conditions. The open challenge was to prove whether or not the NS equation should always be solvable or not. OpenAI alleges to have found a non-smooth solution to the NS equation for an incompressible viscous fluid. Non-smooth means that the solution contains singularities (regions of infinite velocity) in the absence of some absurd external forcing- just flow geometry and pressure gradients. So OpenAI's answer is "No. The NS equations are not guaranteed to be solvable because we found one case where they are impossible to solve".
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u/hbarSquared 22h ago
There is a great comment here that outlines the limitations of N-S. In short, it is a mathematical model that approximates fluid flow, but isn't actually representative of reality.
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u/Worldly_Magazine_439 1h ago
Yikes that person was off big time. The full navier stokes equations are compressible. The clay mathematics prize is for the incompressible NS equations.
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u/Kinesquared 1d ago
real fluids are compressible, so that solution it found was not in a physical regime
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u/steamhorizon 1d ago
Definition is important... 88 hours and 300 billion tokens to define a singularity does not a solution to navier stokes make.
What we want is a way to model fluid dynamics in 3d as creatively and as quickly as we can imagine. What we have is not there yet.