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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

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31,337 просмотров • 14 дней назад •via X (Twitter)

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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

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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

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

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

Mathelirium

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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

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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

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Flow Around AN Oscillating Airfoil Using Lattice Boltzmann Method (LBM)

Flow Around AN Oscillating Airfoil Using Lattice Boltzmann Method (LBM)

Mathelirium

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#WATCH | ANI National Security Summit 2.0: DRDO Chairman Dr Samir V Kamat says, "For short-range ballistic missiles, the Pralay is now in the final stages of testing. With respect to hypersonic, we are working on two programs, the hypersonic glide missile and the hypersonic cruise missiles. The glide missile will come out first. We should be doing the first trials fairly soon. And that is at a more advanced stage than the cruise missile. The cruise missile program has not yet been sanctioned, although we are working on the various technologies which will get into the cruise missile..." "For short-range ballistic missiles, the Pralay is now in the final stages of testing and should be ready. Then we have some of our strategic missiles, which can be converted to tactical usage for the medium range and the long range. With respect to hypersonic, we are working on two programs, the hypersonic glide missile and the hypersonic cruise missiles. The hypersonic cruise missiles is one which has a scramjet engine and it is powered during its flight. The hypersonic glide missile is a missile which uses a booster to give it initial velocity, and then it just glides without any powering. The glide missile will come out first. We should be doing the first trials fairly soon. And that is at a more advanced stage than the cruise missile. The cruise missile program has not yet been sanctioned, although we are working on the various technologies which will get into the cruise missile. Recently, we have done a scramjet propulsion for more than 1,000 seconds. So that's been a major achievement, and once the program is sanctioned, we'll convert the scramjet propulsion into a working missile system. And I think that should take about five years after the sanction."

#WATCH | ANI National Security Summit 2.0: DRDO Chairman Dr Samir V Kamat says, "For short-range ballistic missiles, the Pralay is now in the final stages of testing. With respect to hypersonic, we are working on two programs, the hypersonic glide missile and the hypersonic cruise missiles. The glide missile will come out first. We should be doing the first trials fairly soon. And that is at a more advanced stage than the cruise missile. The cruise missile program has not yet been sanctioned, although we are working on the various technologies which will get into the cruise missile..." "For short-range ballistic missiles, the Pralay is now in the final stages of testing and should be ready. Then we have some of our strategic missiles, which can be converted to tactical usage for the medium range and the long range. With respect to hypersonic, we are working on two programs, the hypersonic glide missile and the hypersonic cruise missiles. The hypersonic cruise missiles is one which has a scramjet engine and it is powered during its flight. The hypersonic glide missile is a missile which uses a booster to give it initial velocity, and then it just glides without any powering. The glide missile will come out first. We should be doing the first trials fairly soon. And that is at a more advanced stage than the cruise missile. The cruise missile program has not yet been sanctioned, although we are working on the various technologies which will get into the cruise missile. Recently, we have done a scramjet propulsion for more than 1,000 seconds. So that's been a major achievement, and once the program is sanctioned, we'll convert the scramjet propulsion into a working missile system. And I think that should take about five years after the sanction."

ANI

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A Luneburg lens bends an Electromagnetic wave without a curved boundary. Instead its dielectric constant changes continuously from the centre to the edge. This forces different parts of the wavelength to travel at different speeds. Here, we solve the full 2D TM EM wave equation on an unstructured triangular mesh using the Finite Element Method (FEM).

A Luneburg lens bends an Electromagnetic wave without a curved boundary. Instead its dielectric constant changes continuously from the centre to the edge. This forces different parts of the wavelength to travel at different speeds. Here, we solve the full 2D TM EM wave equation on an unstructured triangular mesh using the Finite Element Method (FEM).

Mathelirium

2,031,067 просмотров • 1 месяц назад

Under Secretary Emil Michael (Under Secretary of War Emil Michael) on what the Department of War CTO is doing to help scale munitions for the Department of War 🇺🇸: "We signed deals with low-cost cruise missile providers, and the reason we chose cruise missiles is because they're relatively simple weapons. So, [these companies] are all building a less than $500k cruise missile. The equivalent cost of a cruise missile is $2 million, so it's a fourth of the cost, and it's designed for the manufacturing process, so their ability to scale is flexible."

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Department of War CTO

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Mathelirium

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$This scene asks a stranger question : What happens if the material has negative refractive index? As the electron moves through the metamaterial slab, the emitted radiation no longer follows the familiar Cherenkov geometry (see below). The energy flow forms a backward-directed cone, extending opposite to the electron's motion. Method used: Finite Element Method with Poynting style energy-flow tracers.$

This scene asks a stranger question : What happens if the material has negative refractive index? As the electron moves through the metamaterial slab, the emitted radiation no longer follows the familiar Cherenkov geometry (see below). The energy flow forms a backward-directed cone, extending opposite to the electron's motion. Method used: Finite Element Method with Poynting style energy-flow tracers.

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

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Mathelirium

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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.

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An F-16 without missiles is a "useless tool." That's how "Phantom," an F-16 wing commander with Ukrainian Air Force, puts it. Every night, our pilots take on Russian drones and cruise missiles over Ukrainian cities. On some missions, with air-to-air missiles in short supply, they finish the job with the onboard cannon. The jets are here. The skill is here. What we need now is more AIM-9s or AIM-120s and Patriot missiles. 📹: NEWSMAX 2

An F-16 without missiles is a "useless tool." That's how "Phantom," an F-16 wing commander with Ukrainian Air Force, puts it. Every night, our pilots take on Russian drones and cruise missiles over Ukrainian cities. On some missions, with air-to-air missiles in short supply, they finish the job with the onboard cannon. The jets are here. The skill is here. What we need now is more AIM-9s or AIM-120s and Patriot missiles. 📹: NEWSMAX 2

Defense of Ukraine

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Have You Ever Heard of Molecular Communication Systems? Instead of using radio waves or light, molecular communications send information carefully through released chemical particles. A transmitter emits molecules into a medium, the channel reshapes that signal through diffusion, flow, and randomness. The receiver reads the message from the molecules that arrive and bind. It is communication theory at microscopic scale, where physics, probability and biology all become part of the channel. Some applications you may know: Targeted drug delivery inside the body, microscopic health monitoring with nanosensors, and lab-on-a-chip.

Have You Ever Heard of Molecular Communication Systems? Instead of using radio waves or light, molecular communications send information carefully through released chemical particles. A transmitter emits molecules into a medium, the channel reshapes that signal through diffusion, flow, and randomness. The receiver reads the message from the molecules that arrive and bind. It is communication theory at microscopic scale, where physics, probability and biology all become part of the channel. Some applications you may know: Targeted drug delivery inside the body, microscopic health monitoring with nanosensors, and lab-on-a-chip.

Mathelirium

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🚨🇷🇺 PUTIN: UNPRECEDENTED LONG-RANGE NUCLEAR MISSILES ARE READY TO GO "The test of the Burevestnik missile with a nuclear propulsion engine that has an unlimited range is a unique weapon which has no counterparts. When we first announced we were working on such a weapon, it was something that was not feasible. Now the decisive test has been completed." Source: jackson hinkle

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Russia and Belarus have started joint military exercises on the combat use of nuclear weapons on May 19 through May 21. 64,000 troops will participate in the exercises. Russia's Strategic Missile Forces, the Northern and Pacific Fleets, long-range aviation, and some forces from the Leningrad and Central Military Districts are involved. According to Russia, the exercises involve more than 200 missile launchers, over 140 aircraft, 73 surface ships, and 13 submarines. Video attached: footage from the Zapad-2025 joint Russia-Belarus military exercises (September 2025), which included training with nuclear-capable systems and hypersonic missiles near NATO borders. Source: BBC

Russia and Belarus have started joint military exercises on the combat use of nuclear weapons on May 19 through May 21. 64,000 troops will participate in the exercises. Russia's Strategic Missile Forces, the Northern and Pacific Fleets, long-range aviation, and some forces from the Leningrad and Central Military Districts are involved. According to Russia, the exercises involve more than 200 missile launchers, over 140 aircraft, 73 surface ships, and 13 submarines. Video attached: footage from the Zapad-2025 joint Russia-Belarus military exercises (September 2025), which included training with nuclear-capable systems and hypersonic missiles near NATO borders. Source: BBC

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🚨This is what interceptor reality looks like today: Systems like Russia’s S-300 are high-tech air defenses. They can, in theory, shoot down aircraft, cruise missiles, and even ballistic missiles. But modern attacks don’t try to beat these systems head-on. Instead, they use swarms of missiles, drones, and decoys to overwhelm radar and confuse interceptors. Low-flying cruise missiles slip under radar coverage, while electronic warfare jams sensors. In the Russia-Ukraine war, ballistic missiles and drones are used together. This combination makes strikes deadlier, even though Ukraine intercepts up to 90% of drones. In the ongoing Israel-Iran conflict, Israel's multi-layered air defense systems such as the Iron Dome, David's Sling, and Arrow 2/3 have achieved high but not perfect interception rates against Iranian ballistic missiles. The numbers still favor the attacker: defenders may have dozens of interceptors, but attackers can launch hundreds of targets. Air defense gives you better odds, not certainty. Every missile launched is a roll of the dice, and the math always catches up eventually.

🚨This is what interceptor reality looks like today: Systems like Russia’s S-300 are high-tech air defenses. They can, in theory, shoot down aircraft, cruise missiles, and even ballistic missiles. But modern attacks don’t try to beat these systems head-on. Instead, they use swarms of missiles, drones, and decoys to overwhelm radar and confuse interceptors. Low-flying cruise missiles slip under radar coverage, while electronic warfare jams sensors. In the Russia-Ukraine war, ballistic missiles and drones are used together. This combination makes strikes deadlier, even though Ukraine intercepts up to 90% of drones. In the ongoing Israel-Iran conflict, Israel's multi-layered air defense systems such as the Iron Dome, David's Sling, and Arrow 2/3 have achieved high but not perfect interception rates against Iranian ballistic missiles. The numbers still favor the attacker: defenders may have dozens of interceptors, but attackers can launch hundreds of targets. Air defense gives you better odds, not certainty. Every missile launched is a roll of the dice, and the math always catches up eventually.

Mario Nawfal

84,143 просмотров • 6 месяцев назад