Boundary and initial conditions

The energy transport equation is supplemented by boundary conditions:

Boundary condition 1st type: Specification of fixed temperatures (attribute 1KON):

T = T*

Boundary condition 2nd type: Specification of a diffusive-dispersive heat flow on the edge. However, the almost exclusive practical application is to make the boundary impermeable to diffusion-dispersion, so that the following applies:

(N denotes the outward-pointing normal to the model edge).

The system of equations can only be solved if a boundary condition of the first kind is defined at a minimum of at least one node.

For the transient energy transport equation, the initial conditions for the start time must be specified for the entire model domain.

Initial condition: Initial temperature for the start time t0 of the transient calculation (attribute AKON):

T(t₀) = T*₀