shap3d37, elliptical hole in circular disc

Shap3d37.dat, 37th 'shape' file for CPO3D

Elliptical hole in a circular electrode by users equation.

For information on the option for users equations, see users equations.

The equations, say g1(x,y,z), for the inner elliptical edge are

x = rx*cos(theta), y = ry*sin(theta), z = 0, where phi = 0 to pi/4.

The equations, say g2(x,y,z), for the outer circular edge are

x = R*cos(theta), y = R*sin(theta), z = 0.

In the usual fashion we can combine these by using the general equation

g(x,y,z) = (1 - f)*g1 + f*g2,

where f goes from 0 to 1.

This reproduces g1 when f = 0, and g2 when f = 1.

To concentrate the segments near the inner edge, we use f^2 instead of f.

Here rx = 0.75, ry = 1, R = 2, and 2 symmetry planes are used.

The equations, as they appear in the data file, are:

f 0 1 name of variable number 1 and its limits

theta 0 1.570796 name of variable number 2 and its limits

rx 0.75 name of parameter number 1 and its fixed value

ry 1 name of parameter number 2 and its fixed value

R 2 name of parameter number 3 and its fixed value

z 0 name of parameter number 4 and its fixed value

((1-f^2)*rx+f^2*R)*cos(theta)

((1-f^2)*ry+f^2*R)*sin(theta)

1 1 numbers of 2 applied voltages (can be same)

6 6 numbers of subdivisions of variables 1 and 2

(The program has corrected the less accurate value that was entered for pi/2.)