heat_transfer_BE(grid, conditions, k, cp, rho, dt, dl, heat_source=0, substrate_T=294)[source]#

Calculate temperature distribution after the specified time step by solving the parabollic heat equation.

The heat equation with the heat source term is solved by backward Euler scheme.

Fractional step method is used to numerically solve the PDE in 3D space.

There are two options for boundary conditions:

‘isolated’: the structure is isolated from both void and substrate

“heatsink’: the structure disipates heat through the substarete that has a constant temperature.