Plot the Solution in the PDE Modeler App - MATLAB & Simulink - MathWorks 中国 (2024)

Color. Visualization of a scalarproperty using colored surface objects.

Contour. Visualization of a scalarproperty using colored contour lines. The contour lines can also enhancethe color visualization when both plot types (Color and Contour)are checked. The contour lines are then drawn in black.

Arrows. Visualization of a vectorproperty using arrows.

Deformed mesh. Visualizationof a vector property by deforming the mesh using the vector property.The deformation is automatically scaled to 10% of the problem domain.This plot type is primarily intended for visualizing x-and y-displacements (u and v)for problems in structural mechanics. If no other plot type is selected,the deformed triangular mesh is displayed.

Height (3-D plot). Visualizationof a scalar property using height (z-axis) in a3-D plot. 3-D plots are plotted in separate figure windows. If the Color and Contour plottypes are not used, the 3-D plot is simply a mesh plot. You can visualizeanother scalar property simultaneously using Color and/or Contour,which results in a 3-D surface or contour plot.

Animation. Animation of time-dependentsolutions to parabolic and hyperbolic problems. If you select thisoption, the solution is recorded and then animated in a separate figurewindow using the MATLAB^® movie function.

u. The solution itself.

abs(grad(u)). The absolute valueof ∇u, evaluated at the center of each triangle.

abs(c*grad(u)). The absolutevalue of c · ∇u,evaluated at the center of each triangle.

user entry. A MATLAB expressionreturning a vector of data defined on the nodes or the triangles ofthe current triangular mesh. The solution u, itsderivatives ux and uy, the x and y componentsof c · ∇u, cux and cuy,and x and y are all availablein the local workspace. You enter the expression into the edit boxto the right of the Property pop-up menuin the User entry column.

Examples: u.*u, x+y

-grad(u). The negative gradientof u, –∇u.

-c*grad(u). c timesthe negative gradient of u, –c ·∇u.

user entry. A MATLAB expression [px;py] returning a 2-by-ntri matrix of datadefined on the triangles of the current triangular mesh (ntri isthe number of triangles in the current mesh). The solution u,its derivatives ux and uy, the x and y componentsof c · ∇u, cux and cuy,and x and y are all availablein the local workspace. Data defined on the nodes is interpolatedto triangle centers. You enter the expression into the edit fieldto the right of the Property pop-up menuin the User entry column.

Examples: [ux;uy], [x;y]

Interpolated shading. A surfaceplot using the selected colormap and interpolated shading, i.e., eachtriangular area is colored using a linear, interpolated shading (thedefault).

Flat shading. A surface plotusing the selected colormap and flat shading, i.e., each triangulararea is colored using a constant color.

Proportional. The length of thearrow corresponds to the magnitude of the property that you visualize(the default).

Normalized. The lengths of allarrows are normalized, i.e., all arrows have the same length. Thisis useful when you are interested in the direction of the vector field.The direction is clearly visible even in areas where the magnitudeof the field is very small.

Continuous. Produces a “smooth”continuous plot by interpolating data from triangle midpoints to themesh nodes (the default).

Discontinuous. Produces a discontinuousplot where data and z-height are constant on each triangle.