PDE App Shortcuts

PDE app toolbar provide quick access to key operations that are also available in the menus.

The toolbar consists of three different parts: the five leftmost buttons for draw mode functions, the next six buttons for different boundary, mesh, solution, and plot functions, and the rightmost button for activating the zoom feature.

Five buttons on the left let you draw the geometry. Double-click a button makes it "stick," and you can then continue to draw solid objects of the selected type until you single-click the button to "release" it.

In draw mode, you can create the 2-D geometry using the constructive solid geometry (CSG) model paradigm. A set of solid objects (rectangle, circle, ellipse, and polygon) is provided. These objects can be combined using set formulas in a flexible way.

Draw a rectangle/square starting at a corner.

Using the left mouse button, click-and-drag to create a rectangle. Using the right mouse button (or Ctrl+click), click-and-drag to create a square.

Draw a rectangle/square starting at the center.

Using the left mouse button, click-and-drag to create a rectangle. Using the right mouse button (or Ctrl+click), click-and-drag to create a square.

Draw an ellipse/circle starting at the perimeter.

Using the left mouse button, click-and-drag to create an ellipse. Using the right mouse button (or Ctrl+click), click-and-drag to create a circle.

Draw an ellipse/circle starting at the center.

Using the left mouse button, click-and-drag to create an ellipse. Using the right mouse button (or Ctrl+click), click-and-drag to create a circle.

Draw a polygon. Click-and-drag to create polygon edges. You can close the polygon by pressing the right mouse button. Clicking at the starting vertex also closes the polygon.

The remaining buttons represent, from left to right:

Enters the boundary mode.

In boundary mode, you can specify the boundary conditions. You can have different types of boundary conditions on different boundaries. In this mode, the original shapes of the solid objects constitute borders between subdomains of the model. Such borders can be eliminated in this mode.

Opens the PDE Specification dialog box.

In PDE mode, you can interactively specify the type of PDE problem, and the PDE coefficients. You can specify the coefficients for each subdomain independently. This makes it easy to specify, e.g., various material properties in a PDE model.

Initializes the triangular mesh

In mesh mode, you can control the automated mesh generation and plot the mesh.

Refines the triangular mesh.

Solves the PDE.

In solve mode, you can invoke and control the nonlinear and adaptive solver for elliptic problems. For parabolic and hyperbolic PDE problems, you can specify the initial values, and the times for which the output should be generated. For the eigenvalue solver, you can specify the interval in which to search for eigenvalues.

3-D solution opens the Plot Selection dialog box.

In plot mode, there is a wide range of visualization possibilities. You can visualize both in the PDE app and in a separate figure window. You can visualize three different solution properties at the same time, using color, height, and vector field plots. There are surface, mesh, contour, and arrow (quiver) plots available. For parabolic and hyperbolic equations, you can animate the solution as it changes with time.

Toggles zoom.

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