MATLAB PARTIAL DIFFERENTIAL EQUATION TOOLBOX 1 Manuale Utente

LAB 4: Introduction to MATLAB PDE Toolbox and SolidWorks Simulation Objective: The objective of this laboratory is to introduce how to use MATLAB

10 To save the brick as a part, from the toolbar at the top of the window use the File pull-down menu to save the Part as “brick”. To also save the

11 To create the unstructured mesh, in the Simulation Tree right click on Mesh and select Create Mesh from the pop-up menu. In the Mesh Parameters w

12 window select floating from the pull-down menu and set the number of decimal places to 0. In the Color Options window set the number of chart colo

13 Nonlinear Solver To make this problem non-linear the thermal conductivity will once again be made temperature dependent. To create a new simulati

14 window for the Section Plane select the front face of the brick (that is normal to the z-axis), set the Section depth to 0.10 m, and then click th

15 Properties from the pop-up menu. In the Thermal window under the Options tab select Transient and verify that the Total time is set to 1 sec and t

16 convection) than the back (with zero hero heat flux). You can also verify the difference in temperature from the front to the back using temperatu

17 Assignment: For this assignment, you will mainly reproduce the results obtained in Lab 3 for Parts 1, 2, 4, and 5 (we cannot easily control the r

18 4. Using the PDE toolbox solve for the temperature distribution with variable thermal conductivity (make sure to change your function for k to the

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

3 Laboratory: Getting started with MATLAB PDE Toolbox To get started, launch MATLAB by double-clicking the icon on the desktop. Once there, you can

4 starting with an empty window first draw a rectangle that should be indicated as “R1” (or rectangle one) in the Set formula window. Next, draw an e

5 When you are done you should see Dirichlet boundary conditions colored red and Neumann and mixed boundary conditions colored blue. For this labora

6 MATLAB environment you will find p, e, and t in your workspace as matrices. To get more information on how each of these variables contain mesh dat

7 Use each of these at least once to manipulate and visualize the data. Nonlinear Solver We will now consider how to handle variable properties whi

8 Solving PDEs Programatically Although the PDE Toolbox GUI is a useful way to solve PDEs, the flexibility of using command-line functions is someti

9 tlist = linspace(0, tf, nt); % time, tf is final time, nt is number of time steps use the following function for a linear equation u1 = para