Boris Andrews
@borisandrews.bsky.social
PhD (DPhil) in maths (numerical methods for PDEs) || Oxford 🎓 / Blackburn 🏵️ || Unofficial 2023 UK 7 Wonders champion
M*sk taking control of Twitter:
February 28, 2025 at 3:07 AM
M*sk taking control of Twitter:
7/
In our work, we construct a numerical scheme that CONSERVES H EXACTLY👌.
You can see this in the figure below.
A typical simulation (dashed blue) has H artificially decay to 0; our simulation (solid red) holds H steady, and so 💪holds up E💪 too!
In our work, we construct a numerical scheme that CONSERVES H EXACTLY👌.
You can see this in the figure below.
A typical simulation (dashed blue) has H artificially decay to 0; our simulation (solid red) holds H steady, and so 💪holds up E💪 too!
January 23, 2025 at 12:17 PM
7/
In our work, we construct a numerical scheme that CONSERVES H EXACTLY👌.
You can see this in the figure below.
A typical simulation (dashed blue) has H artificially decay to 0; our simulation (solid red) holds H steady, and so 💪holds up E💪 too!
In our work, we construct a numerical scheme that CONSERVES H EXACTLY👌.
You can see this in the figure below.
A typical simulation (dashed blue) has H artificially decay to 0; our simulation (solid red) holds H steady, and so 💪holds up E💪 too!
4/
<🪢 FUN TOPOLOGICAL DIVERSION 🪢>
This has a neat topological interpretation!
(And we all love topology, right?)
H can be interpreted as a continuous version of the LINKING NUMBER. This represents the no. of times a pair of loops wind around each other (1, 2, 3 in the image below).
<🪢 FUN TOPOLOGICAL DIVERSION 🪢>
This has a neat topological interpretation!
(And we all love topology, right?)
H can be interpreted as a continuous version of the LINKING NUMBER. This represents the no. of times a pair of loops wind around each other (1, 2, 3 in the image below).
January 23, 2025 at 12:17 PM
4/
<🪢 FUN TOPOLOGICAL DIVERSION 🪢>
This has a neat topological interpretation!
(And we all love topology, right?)
H can be interpreted as a continuous version of the LINKING NUMBER. This represents the no. of times a pair of loops wind around each other (1, 2, 3 in the image below).
<🪢 FUN TOPOLOGICAL DIVERSION 🪢>
This has a neat topological interpretation!
(And we all love topology, right?)
H can be interpreted as a continuous version of the LINKING NUMBER. This represents the no. of times a pair of loops wind around each other (1, 2, 3 in the image below).
2/
MAGNETIC RELAXATION =
the process by which a magnetic or magnetohydrodynamic (MHD) system converges to equilibrium.
These systems are typically long-duration, large-scale plasmas (e.g. the Sun ☀️ in particular its corona visible in the photo below) or liquid metals (e.g. the Earth’s core 🌍).
MAGNETIC RELAXATION =
the process by which a magnetic or magnetohydrodynamic (MHD) system converges to equilibrium.
These systems are typically long-duration, large-scale plasmas (e.g. the Sun ☀️ in particular its corona visible in the photo below) or liquid metals (e.g. the Earth’s core 🌍).
January 23, 2025 at 12:17 PM
2/
MAGNETIC RELAXATION =
the process by which a magnetic or magnetohydrodynamic (MHD) system converges to equilibrium.
These systems are typically long-duration, large-scale plasmas (e.g. the Sun ☀️ in particular its corona visible in the photo below) or liquid metals (e.g. the Earth’s core 🌍).
MAGNETIC RELAXATION =
the process by which a magnetic or magnetohydrodynamic (MHD) system converges to equilibrium.
These systems are typically long-duration, large-scale plasmas (e.g. the Sun ☀️ in particular its corona visible in the photo below) or liquid metals (e.g. the Earth’s core 🌍).
1/
The results of this work are (to me) super exciting!
They demonstrate how vital it is, when designing a numerical simulation, that you preserve your conservation and dissipation laws from the CONTINUOUS 🤔 level to the DISCRETE 🖥️.
The results of this work are (to me) super exciting!
They demonstrate how vital it is, when designing a numerical simulation, that you preserve your conservation and dissipation laws from the CONTINUOUS 🤔 level to the DISCRETE 🖥️.
January 23, 2025 at 12:17 PM
1/
The results of this work are (to me) super exciting!
They demonstrate how vital it is, when designing a numerical simulation, that you preserve your conservation and dissipation laws from the CONTINUOUS 🤔 level to the DISCRETE 🖥️.
The results of this work are (to me) super exciting!
They demonstrate how vital it is, when designing a numerical simulation, that you preserve your conservation and dissipation laws from the CONTINUOUS 🤔 level to the DISCRETE 🖥️.