Physical input data
Input data
When one of the properties of the problem is a function of the variable that is the unknown of the system, the physical input data necessary to define the nonlinear system are:
- the function (for the residual vector computation)
- its derivative of the function (for the computation of the Jacobian of the system)
… in Flux
A general idea of the input data required to define a nonlinear system in case of the Flux applications is presented in the two tables below:
- on the one hand, for the nonlinear behavior laws of materials
- on the other hand, for the thermal properties which depend on the temperature
| Application | State variable | Function | Derivative |
|---|---|---|---|
| Magnetic | Magnetic scalar potential | B(H) | dB/dH = incremental tensor of magnetic permeability |
| Magnetic vector potential | H(B) | dH/dB = incremental tensor of magnetic reluctivity | |
| Electric | Electric potential | J(E) | dJ/dE = incremental tensor of electric conductivity |
| Application | State variable | Function | Derivative |
|---|---|---|---|
| Thermal | Temperature | k(T) | dk/dT |
| ρCp(T) | dρCp(T)/dT |