正在加载视频...

视频加载失败

加载此视频时出现问题。这可能是由于临时网络问题，或视频可能不可用。

The Navier-Stoles equations resolve how the flow divides around this 2D silhouette of the B-2 Spirit bomber.

Mathelirium

79,712 subscribers

38,006 次观看 • 2 个月前 •via X (Twitter)

Anya Rossi• Live Now

Private livecam show

34 条评论

YourMamaJoke 的头像

YourMamaJoke2 个月前

OpenAI Stole work on Navier-Stokes.

Andrew Sanderson 的头像

Andrew Sanderson2 个月前

So you don't need to have the radar CSA it could be possible to detect and identify a craft by it's turbulent flow @HLC_actual That could be fun....

Mathelirium 的头像

Mathelirium2 个月前

@HLC_actual Wow, I jus thought about this but I wasnt aware it could be done. It makes sense.

Andrew Sanderson 的头像

Andrew Sanderson2 个月前

@HLC_actual @LockheedMartin @northropgrumman @RaytheonTech @CIA Lmao Home brew tech screws stealth FUN

Andrew Sanderson 的头像

Andrew Sanderson2 个月前

@HLC_actual @LockheedMartin @northropgrumman @RaytheonTech @CIA Mwhahah

Ibn Saruman 的头像

Ibn Saruman2 个月前

Insanely viscous fluid.

Eric Alexander 的头像

Eric Alexander2 个月前

nice

IngeniiX 🛸 的头像

IngeniiX 🛸2 个月前

The singularity is near!

Bubbba Buffett 的头像

Bubbba Buffett2 个月前

Hmmm. Is lift actually provided by the difference in turbulence?

Doug 的头像

Doug2 个月前

Yes, the same way it did last week.

zachATTACK 的头像

zachATTACK2 个月前

And thus also the peregrine falcon in a dive!

SandmanWx 的头像

SandmanWx2 个月前

I'm more interested in 3D vortex breakdowns

Mark R Pommrehn 的头像

Mark R Pommrehn2 个月前

That’s cool! Interesting how the vortices detach and roll off.

Colbert 的头像

Colbert2 个月前

Fluid dynamics are honestly wild. It’s fascinating how those complex equations make such a stealthy shape look so smooth in the simulation.

Foad S. Farimani 的头像

Foad S. Farimani2 个月前

yeah, the CFD simulations are so amazing to and so useless most of the times!

NoSecondBest 的头像

NoSecondBest2 个月前

Gut check - there no way it's that turbulent

Israel Patricio 的头像

Israel Patricio2 个月前

In fact, it models it well. Nature doesn't calculate to accomplish things; it simply plays out the rules of physics that we assume we know.

طارق 的头像

طارق2 个月前

Beautiful visualization. The alternating vortices peeling off the trailing edge form a textbook Karman vortex street. I love how the simulation makes the Navier-Stokes equations tangible.

NovaBishop 的头像

NovaBishop2 个月前

😯 wow!

Kenrik March 的头像

Kenrik March2 个月前

But what about the electrostatic charge airflow adjustments they use on the skin of the bomber?

Mathelirium 的头像

Mathelirium2 个月前

Yeah, we didnt account for any of the surface engineering effects

Aleksander 的头像

Aleksander2 个月前

nothing close to a breakthrough, known for ages

Ford Prefect 的头像

Ford Prefect2 个月前

Stokes, my Dear. Navier-Stokes.

Mathelirium 的头像

Mathelirium2 个月前

Jus a typo😅

Dave 的头像

Dave2 个月前

@FordPrefec21206 If OpenAi took the data, I mean then you wouldn’t be wrong. 😹

Mathelirium 的头像

Mathelirium2 个月前

@FordPrefec21206 😅 I see what you mean

Alexander Vashlyaev 的头像

Alexander Vashlyaev2 个月前

I hope we will get better flying kites soon )

Fstentmtient 的头像

Fstentmtient2 个月前

In classical aerodynamics (including B-2 Spirit) there is a principle stating that vortices must be shed behind the vehicle; however, depending on ambient vortices (irregular natural winds), these vortices can exceed predictions, pushing the tail up or down (turbulence)

Aaryaman Sharma 的头像

Aaryaman Sharma2 个月前

So what does the solution to Navier-Stoles does for physics or in general life or computing

Toni Mousley 的头像

Toni Mousley2 个月前

Sexy

Mike 的头像

Mike2 个月前

This wasn't known before?

Romeo Lupascu 的头像

Romeo Lupascu2 个月前

Solves? Really? Maybe a FEA does it? Really check?

Semi Space Trucker 的头像

Semi Space Trucker2 个月前

was solved 5000 years ago 🙃

Herry Patel 的头像

Herry Patel2 个月前

I need top view

相关视频

Air Around an F1 Car, Solved With Navier-Stokes This flow is computed, not drawn. It is a real 2D simulation of the incompressible Navier-Stokes equations around the side profile of an F1-style car of our own design: du/dt + (u . grad) u = - grad p / rho + nu laplacian u div u = 0

Matheorems

62,797 次观看 • 1 天前

Take a look at that 😍😍😍😍😍 We added some camera panning to our 3D flow around a sphere. 3D CFD via FEM on Navier-Stokes equations.

Take a look at that 😍😍😍😍😍 We added some camera panning to our 3D flow around a sphere. 3D CFD via FEM on Navier-Stokes equations.

Mathelirium

15,549 次观看 • 1 个月前

It's nuclear winter and some systems are still launching cruise missiles☠️💀 Mathematically, we solve the incompressible Navier-Stokes equations using an RK2 pressure-projection method, with Brinkman penalization enforcing no-slip flow on the missile.

It's nuclear winter and some systems are still launching cruise missiles☠️💀 Mathematically, we solve the incompressible Navier-Stokes equations using an RK2 pressure-projection method, with Brinkman penalization enforcing no-slip flow on the missile.

Mathelirium

31,337 次观看 • 1 个月前

Will OpenAI and Anthropic ever crack this one? Behind this beautiful turbulence cascade lies a Millennium Prize Problem: For the 3D Navier-Stokes equations, nobody has proved whether every smooth flow remains smooth forever or whether a singularity can form in finite time.

Will OpenAI and Anthropic ever crack this one? Behind this beautiful turbulence cascade lies a Millennium Prize Problem: For the 3D Navier-Stokes equations, nobody has proved whether every smooth flow remains smooth forever or whether a singularity can form in finite time.

Mathelirium

15,682 次观看 • 3 个月前

🧵 B-2 Spirit, Stealth Bomber of the US Air Force: What are the features of this monster?⤵️

🧵 B-2 Spirit, Stealth Bomber of the US Air Force: What are the features of this monster?⤵️

Cyrus Intel

137,445 次观看 • 1 年前

The world’s most powerful bomber the B-2 Spirit. Even Iran trembles at its name the mere mention of it strikes fear that name is B-2 Bomber…See More

The world’s most powerful bomber the B-2 Spirit. Even Iran trembles at its name the mere mention of it strikes fear that name is B-2 Bomber…See More

America Army

18,422 次观看 • 7 个月前

This is the stealth bomber hitting Iran this week! The B-2 Spirit is unparalleled on Planet Earth!

This is the stealth bomber hitting Iran this week! The B-2 Spirit is unparalleled on Planet Earth!

Vince Langman

59,292 次观看 • 8 个月前

B-2 Spirit Stealth Bomber on the Shortest Runway ✈️🔥

B-2 Spirit Stealth Bomber on the Shortest Runway ✈️🔥

Quantum Tech ⚛

344,435 次观看 • 2 天前

On this day in 2008 – A U.S. Air Force B-2 Spirit bomber crashes on Guam. It is the first operational loss of a B-2.

On this day in 2008 – A U.S. Air Force B-2 Spirit bomber crashes on Guam. It is the first operational loss of a B-2.

Christopher Wipper

1,700,048 次观看 • 8 个月前

The Navier-Stokes equations recently made the headlines. Understand the equations—and PDEs in general—with this interactive Wolfram U course. 🔗👇

The Navier-Stokes equations recently made the headlines. Understand the equations—and PDEs in general—with this interactive Wolfram U course. 🔗👇

Wolfram

11,098 次观看 • 12 天前

A rocket cuts through a solved Navier-Stokes flow, forcing the fluid to separate around its body and roll into a long turbulent wake. Using the D2Q9 lattice-Boltzmann method, the scene reveals vorticity, strain, Q-criterion vortex cores and wall shear.

A rocket cuts through a solved Navier-Stokes flow, forcing the fluid to separate around its body and roll into a long turbulent wake. Using the D2Q9 lattice-Boltzmann method, the scene reveals vorticity, strain, Q-criterion vortex cores and wall shear.

Mathelirium

26,718 次观看 • 3 个月前

A simulation of Jupiter's magnetosphere, this time using the full equations of magnetohydrodynamics.

A simulation of Jupiter's magnetosphere, this time using the full equations of magnetohydrodynamics.

Mathelirium

70,326 次观看 • 1 个月前

Best view of the B-2 Spirit Bomber that just dropped a few Massive Ordinance Penetrator Bombs on Iran’s buried Nuke sites. The B-2 Stealth Bomber is the only plane on earth that can carry these 34K lbs Bombs.

Best view of the B-2 Spirit Bomber that just dropped a few Massive Ordinance Penetrator Bombs on Iran’s buried Nuke sites. The B-2 Stealth Bomber is the only plane on earth that can carry these 34K lbs Bombs.

GoodFights™

1,887,508 次观看 • 1 年前

A Million-Dollar Storm Mathematics Still Cannot Tame. Turbulence matters because it is the default behavior of real fluids once motion becomes strong enough, e.g. air over wings, blood through vessels, weather in the atmosphere, water in oceans, fuel in engines, and flow in pipes and turbines. We can write down the Navier-Stokes equations for all of this, but in 3D one of the deepest open questions is still whether smooth solutions always stay smooth, or can break down in finite time. That is crucial because it asks whether the basic equations of fluid motion remain mathematically under control forever, or can form a true singularity where the theory itself breaks. Solve that and you got yourself a million dollars

A Million-Dollar Storm Mathematics Still Cannot Tame. Turbulence matters because it is the default behavior of real fluids once motion becomes strong enough, e.g. air over wings, blood through vessels, weather in the atmosphere, water in oceans, fuel in engines, and flow in pipes and turbines. We can write down the Navier-Stokes equations for all of this, but in 3D one of the deepest open questions is still whether smooth solutions always stay smooth, or can break down in finite time. That is crucial because it asks whether the basic equations of fluid motion remain mathematically under control forever, or can form a true singularity where the theory itself breaks. Solve that and you got yourself a million dollars

Mathelirium

30,056 次观看 • 7 个月前

Do you know how we simulate electromagnetic radiation around real systems like antennas, aircraft, and waveguides? We break the geometry into a mesh, a collection of small elements that lets the solver compute Maxwell’s equations locally instead of attacking the whole shape at once. This makes the simulations practical, fast, and accurate enough to use in real engineering.

Do you know how we simulate electromagnetic radiation around real systems like antennas, aircraft, and waveguides? We break the geometry into a mesh, a collection of small elements that lets the solver compute Maxwell’s equations locally instead of attacking the whole shape at once. This makes the simulations practical, fast, and accurate enough to use in real engineering.

Mathelirium

73,166 次观看 • 7 个月前

The B-2’s most unusual feature is also what makes this landing so recognizable: there is no conventional tail. The U.S. Air Force B-2 Spirit uses a flying-wing configuration to reduce radar signature while also providing aerodynamic efficiency. In this footage, “Spirit of New York” (AF 86-1068) arrives at RAF Fairford, where U.S. strategic bombers regularly deploy for training and Bomber Task Force Europe operations. Watch the silhouette as it touches down. That enormous wing is the aircraft. What stands out to you most about the B-2’s design?

The B-2’s most unusual feature is also what makes this landing so recognizable: there is no conventional tail. The U.S. Air Force B-2 Spirit uses a flying-wing configuration to reduce radar signature while also providing aerodynamic efficiency. In this footage, “Spirit of New York” (AF 86-1068) arrives at RAF Fairford, where U.S. strategic bombers regularly deploy for training and Bomber Task Force Europe operations. Watch the silhouette as it touches down. That enormous wing is the aircraft. What stands out to you most about the B-2’s design?

Airforce Geek

279,394 次观看 • 1 个月前

This view of the B-2 Stealth bomber in Pasadena 🤩 🌹

This view of the B-2 Stealth bomber in Pasadena 🤩 🌹

ESPN College Football

91,465 次观看 • 2 年前

Plotting a Northrup B-2 Spirit (Bomber)

Plotting a Northrup B-2 Spirit (Bomber)

Mechanical Knowledge

138,964 次观看 • 9 个月前

This incredible footage captures a $14000 RC B-2 Spirit stealth bomber making a breathtakingly low pass over the rugged, snow-dusted mountains of Nevada. 📹:

This incredible footage captures a $14000 RC B-2 Spirit stealth bomber making a breathtakingly low pass over the rugged, snow-dusted mountains of Nevada. 📹:

Aviation

196,725 次观看 • 7 个月前