Hydrodynamics on a moving Voronoi mesh. Kelvin-Helmholtz instability with 50*50 cells; the color represents the surface density of the fluid. The code is publicly available: github.com/m31...
Hey! Thanks for your interest, the surface density is shown. The initial conditions are: Top and bottom stripe: rho=1, P=2.5, v_x=-0.5. Middle stripe: rho=2, P=2.5, v_x=0.5. Best regards!
Hi, thank you for your question. This is because there is a small sine-perturbation in the initial conditions. You may read more about the setup in my thesis: www.kmschaal.de/Diplomarbeit_KevinSchaal.pdf best regards, Kevin
Hi, thank you for your interest. You may find a thesis about the hydro scheme on my homepage (www.kmschaal.de), and the first paper about this method can be accessed here: arxiv.org/abs/0901.4107 best regards, Kevin
Very nice visualization. Plotting the cells was really instructive in visualizing the vorticity.
Hey! Thanks for your interest, the surface density is shown. The initial conditions are: Top and bottom stripe: rho=1, P=2.5, v_x=-0.5.
Middle stripe: rho=2, P=2.5, v_x=0.5.
Best regards!
how did you calculated that, do you have a link to the model?
Beautiful simulation
Beautiful
Starts looking like ancient meditteranean art in the end there. ;w;)
nice simulation
So why do the fluids start forming somewhat of a sine wave in the first place? What causes the wave to form?
Hi, thank you for your question. This is because there is a small sine-perturbation in the initial conditions. You may read more about the setup in my thesis: www.kmschaal.de/Diplomarbeit_KevinSchaal.pdf
best regards,
Kevin
So what does the colour represent?
The color represents the density of the fluid; thank you for asking, updated the description of the video.
The analysis is based on Lagrange description ?
Yes, it's a Lagrangian description of hydrodynamics since the cells are moving with the flow.
Whats the scoop, boundary layers?
Bit disappointing there isnt a L in your first name...
Hehe, exactly :) The boundaries are periodic in x-direction and reflecting in y-direction.
Can you provide more information about the method used?
Hi, thank you for your interest. You may find a thesis about the hydro scheme on my homepage (www.kmschaal.de), and the first paper about this method can be accessed here: arxiv.org/abs/0901.4107
best regards, Kevin
@@m31coding what program did you use? Thanks
@@robinsonidarraga9803 I wrote the code from scratch; you may find it here: github.com/m31coding/Havoc
Do you have a public repo for this?
Unfortunately not, I am going to rewrite the code with best practices first.
I did some minor clean up of the code and it is now publicly available: github.com/m31coding/Havoc
@@m31coding Thank you for that. This is such a beautiful visualization. The use of Voronoi mesh really makes the swirls stand out!
Whaou.
Beautiful