# Parametric analysis: definitions

## Introduction

First, a time dependent study and a parametric analysis must be defined.

## Time dependent study (transient application)

A time dependent study is a study in function of the parameter time, obtained within a Flux transient application.

A transient application is a physical application characterized by:

• time dependent properties: sources, material characteristics, etc.
• equations that contain time derivatives

The solving process is carried out in order at each time step. The successive solutions are not independent one from another; each solution is dependent on the previous ones.

Flux transient applications are as follows: Transient Magnetic and Transient Thermal applications.

## Parametrized analysis

A parametrized analysis concerns the influence of different geometric or physical parameters on the solution of the problem.

The solving process is a sequence of successive solving processes corresponding to different combinations of parameters. The solutions are independent one from another.

## Main advantage of parametrized analysis

The main advantage of parametrized analysis is that the results can be carried out on the entire set of solutions.

• In a “simple” analysis, only one configuration of the device is treated, corresponding to a single combination of parameters. To study the influence of a parameter in this case, one must prepare and solve a number of Flux projects and then compare the results of the individual projects.
• In a parametrized analysis, several configurations of the device, corresponding to several combinations of parameters or several time steps, are treated in a single Flux project. The influence of a specific parameter on a result can be visualized directly.

## Multi- parametrized analysis

A multi-parametrized analysis is a varying analysis in which the influence of several parameters is studied.

We use the terms

• parametrized or a multi-parametrized analysis, when we are interested in the influence of different geometric and/or physical parameters in static or harmonic applications
• transient parametrized application, when we are interested in the influence of different geometric and/or physical parameters in transient applications