MATLAB PARTIAL DIFFERENTIAL EQUATION TOOLBOX 1 Manuel d'utilisateur télécharger pdf (Page 2)

There are several steps involved in correctly specifying and solving any PDE problem. The

typical order in which these steps are handled for FEM is as follows:

Pre-processor:

1. Define the domain of the problem in space (i.e. the geometry)

2. Define the boundary conditions

3. Define the “mesh”

4. Set the proper PDE for solution and the material properties for the system

5. Define the initial condition for transient problems and the time step

Processor: Solve the equations

Post-processor: Analyze the results

The graphical user-interface (GUI) for the PDE toolbox in MATLAB has all of these functions

written out in this order along the top menu bar. You can also save everything you do to a

MATLAB script file so that you will not have to repeat all the steps every time you solve a

problem. Finally, you can export your results into the MATLAB environment to solve PDEs

programmatically and to complete more flexible post-processing.

Background for SolidWorks Simulation:

This document also provides some simple instructions for getting started with performing a

thermal analysis using the Simulation software in SolidWorks. Similar to the PDE toolbox in

MATLAB, the SolidWorks Simulation software also uses FEM and the implicit finite difference

method for time to solve a variety of mechanics problems. In addition, simulations can also be

performed that are three dimensional in space, include radiation boundary conditions, and

account for contact resistance. The steps for performing an analysis are similar to those above for

the PDE toolbox, but with some slight variations in the order in which they are performed. In

addition, the terminology is a little different. For example, the boundary conditions are referred

to as thermal loads. Finally, the post-processing will involve additional steps to bring the data

into a spreadsheet or the MATLAB environment.

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MATLAB PARTIAL DIFFERENTIAL EQUATION TOOLBOX 1 Manuel d'utilisateur Page 2