🔥 inferno 🔥

PINN based solver for heat equation

introduction

this is a simple 0D time dependent heat equation sovler.

$ \Delta T(t) = \Delta T_0 e^{-r(t-t0)} + Q_0 e^{s(t-t_0)} $

It consider the temperature evolution as a function with two source terms:

• heat source, that increase the temperature
• heat sink, that remove part of the heat source

v0.0

for the moment we are dealing wiht convection only

$ \Delta T(t) = \Delta T_0 e^{-r(t-t0)} $

this is already available, see the example 0D_cooling_only.py

If we consider an heat source term of the kind:

$ \Delta T(t) = \Delta T_0 e^{-r(t-t0)} + Q_0 e^{s(t-t_0)} $

then look at 0D_heat_source.py

!!! important parameters optimization must be done when you fit your model

the repository

requirements

• pytorch
• numpy
• matplotlib (for plotting)
• seaborn