Heatlib

Python module for heat transfer modelling for students

• Free software: MIT license
• Documentation: https://ondrolexa.github.io/heat

This module provides classess to solve steady-state or evolutionary heat equation in 1D on grids with constant or variable properties.

Provided functionality

Unit support

• Length - Class to manipulate with different length units
• Time - Class to manipulate with different time units

Boundary conditions

• Dirichlet_BC - Dirichlet boundary condition, i.e. prescribed temperature
• Neumann_BC - Neumann boundary condition, i.e. prescribed heat flow density

Constant properties and grid size

• Domain_Constant_1D - Class for domain with constant physical properties
• Model_Constant_1D - Model class to solve and visualize solution on Domain_Constant_1D

Solvers

• SteadyState_Constant_1D - Steady state heat equation solution on grid with constant properties
• BTCS_Constant_1D - Evolutionary heat equation solution on grid with constant properties
• Deform_Constant_1D - Instantaneous deformation of model domain
• Shift_Constant_1D - Instantaneous shift of model domain. Could simulate erosion-sedimenatation

Variable properties and grid size

• Domain_Variable_1D - Class for domain with variable physical properties and geometry. Domain is composed from list of Element instances.
• Model_Variable_1D - Model class to solve and visualize solution on Domain_Variable_1D

Solvers

• SteadyState_Variable_1D - Steady state heat equation solution on grid with variable properties
• BTCS_Variable_1D - Evolutionary heat equation solution on grid with variable properties
• Deform_Variable_1D - Instantaneous deformation of model domain

Universal solvers

• SetTemperature_1D - Instataneous change of temperature in given range

Simulations

• Simulation_1D - Class to assembly model and solvers to run and post-process simulation