elkementMay 2, 2017

Simulating Peak Ice

This year ice in the tank was finally melted between March 5 to March 10 - as 'visual inspection' showed. Level sensor Mr. Bubble was confused during the melting phase; thus it was an interesting exercise to compare simulations to measurements. Simulations use the measured ambient temperature and solar radiation as an input, data points are taken every minute. Air temperature determines the heating energy needed by the house: Simulated heat load is increasing linearly until a maximum 'cut […]

https://elkement.art/2017/05/02/simulating-peak-ice/

Non-Euclidean DreamerApr 5, 2023

Numerically solving the Heat Equation with two Sources

It looks like it's behaving now ..
It was the logarithmic color map that made the tiny horizontal &vertical head start look out of proportion.

#physicssimulation #creativecoding #heatequation

Chris FredregillFeb 12, 2023

What happens if we allow the color component to #diffuse out of the #MonaLisa?

In this experiment, the #pixels of the Mona Lisa supply us with initial #RGB color component values, ranging from 0 to 255 (256 possible states for each component, for each pixel, at time t = 0).

We then allow the red color component to diffuse out, according to the #HeatEquation, ∆u = ∂u/∂t; we step forward in time, solving for all color component values u, at each spatial location (x, y) in the painting 🖼 (along the edges of the painting, color components are held constant, so that we have a well-defined boundary value problem).

We can see here what happens to the image as the red component diffuses out.

Enjoy!

Jim Donegan 🎵 ✅Jan 31, 2023

The True Meaning Of The #Schrödinger #Equation

- Is the #SchrodingerEquation really a #Wave Equation? Or is it something else entirely?

https://www.youtube.com/watch?v=LFC2HsT6Bh4&ab_channel=TheScienceAsylum

#Science #Physics #Math #Maths #Mathematics #WaveMathematics #QuantumMechanics #QuantumPhysics #QM #SchrödingerEquation #Schrodinger #Newton #Acceleration #RestoringForce #Equilibrium #HeatDissipation #HarmonicOscillator #Heat #HeatEquation #Probability

The True Meaning of Schrödinger's Equation

YouTube
xameerNov 21, 2020
log |f(z)| is harmonic, it is steady state of a heat flow on region D. Say a strict maximum was attained on interior of D, heat at this maximum disperses to points around it
contradicts that this represents steady state of a system
#Heatequation
Maximum modulus princple
xameerNov 21, 2020
log |f(z)| is harmonic, it is steady state of a heat flow on region D. Say a strict maximum was attained on interior of D, heat at this maximum disperses to points around it
contradicts that this represents steady state of a system
#Heatequation
Maximum modulus princple