Diferencia entre revisiones de «Visualization of vector fields in a solid»
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| + | [[Archivo:Campovector1.jpg|400px|thumb|right|Vector field in a solid]] | ||
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We show how to visualize vector fields on plane regions, representing solids, with Octave UPM. We focus on the example in [[Dibujar un sólido 2-D]], i.e. the rectangle <math> [-1/2,1/2]\times [0,2]</math> and the vector field <math> f(x,y)=x\vec i + y \vec j</math>. We follow the steps: | We show how to visualize vector fields on plane regions, representing solids, with Octave UPM. We focus on the example in [[Dibujar un sólido 2-D]], i.e. the rectangle <math> [-1/2,1/2]\times [0,2]</math> and the vector field <math> f(x,y)=x\vec i + y \vec j</math>. We follow the steps: | ||
# We introduce a sampling of the two segments with a suitable step | # We introduce a sampling of the two segments with a suitable step | ||
| − | # With meshgrid command we define two matrixes with the x and y | + | # With meshgrid command we define two matrixes with the x and y coordinates of the mesh points |
# Compute the two components of the vector field in the grid points. | # Compute the two components of the vector field in the grid points. | ||
| − | # We use the quiver command to draw the field and | + | # We use the quiver command to draw the field and adjust the axis. We see the picture from the top. |
== MATLAB code == | == MATLAB code == | ||
| Línea 14: | Línea 16: | ||
fx=xx; % x-component of the vector field | fx=xx; % x-component of the vector field | ||
fy=yy; % y-component of the vector field | fy=yy; % y-component of the vector field | ||
| − | + | quiver(xx,yy,fx,fy) % Draw the vector field | |
axis([-2,2,-1,3]) % select region for drawing | axis([-2,2,-1,3]) % select region for drawing | ||
| − | view( | + | view(2) % See the pisture from the top |
}} | }} | ||
| − | == | + | |
| − | + | == To go further == | |
| − | + | ||
| − | + | [[Mesh of a parametrized 2-D solid]] | |
| + | |||
| + | [[Visualization of a scalar field in a solid]] | ||
| + | |||
| + | [[Dibujar un sólido 2-D]] | ||
[[Categoría:Curso ICE]] | [[Categoría:Curso ICE]] | ||
[[Categoría:Teoría de Campos]] | [[Categoría:Teoría de Campos]] | ||
| + | [[Categoría:Articles in English]] | ||
| + | [[Categoría:TC14/15]] | ||
| + | [[Categoría:TC15/16]] | ||
| + | [[Categoría:TC16/17]] | ||
| + | [[Categoría:TC17/18]] | ||
| + | [[Categoría:TC18/19]] | ||
| + | [[Categoría:TC19/20]] | ||
| + | [[Categoría:TC20/21]] | ||
| + | [[Categoría:TC21/22]] | ||
| + | [[Categoría:TC24/25]] | ||
| + | [[Categoría:TC25/26]] | ||
| + | [[Categoría:Informática]] | ||
Revisión actual del 20:10 25 nov 2025
We show how to visualize vector fields on plane regions, representing solids, with Octave UPM. We focus on the example in Dibujar un sólido 2-D, i.e. the rectangle [math] [-1/2,1/2]\times [0,2][/math] and the vector field [math] f(x,y)=x\vec i + y \vec j[/math]. We follow the steps:
- We introduce a sampling of the two segments with a suitable step
- With meshgrid command we define two matrixes with the x and y coordinates of the mesh points
- Compute the two components of the vector field in the grid points.
- We use the quiver command to draw the field and adjust the axis. We see the picture from the top.
1 MATLAB code
x=-0.5:0.1:0.5; % sampling of the interval [-1/2,1/2]
y=0:0.1:2; % sampling of the interval [0,2]
[xx,yy]=meshgrid(x,y); % matrixes of x and y coordinates
figure(1)
fx=xx; % x-component of the vector field
fy=yy; % y-component of the vector field
quiver(xx,yy,fx,fy) % Draw the vector field
axis([-2,2,-1,3]) % select region for drawing
view(2) % See the pisture from the top
2 To go further
Mesh of a parametrized 2-D solid
