Shap3d51.dat, 51st 'shape' file for CPO3D

5 holes in a square plate, by users equation.

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

Based on shap3d49, detailed information on which is given in shap3d50.

As with shap3d49 the radius of the inner hole is r1 = 2, the radii of the 4 surrounding holes is r2 = 1 and the outer radius is R = 6. The disc lies in the plane z = 0.

2 symmetry planes are used here. If this number of symmetry planes is not allowed in the simulation then the present 8 electrodes would have to repeated with the appropriate modifications to the equations. If on the other hand the x=y symmetry plane is allowed then the last 4 electrodes can be deleted.

In shap3d49 and shap3d50 it was possible to divide the basic octant into 3 parts, each of which had 4 distinct edges, which we called an 'inner' edge, an 'outer' edge and 2 connecting straight side edges. Each of these 3 parts therefore satisfied the condition for being able to use the

'g(1)*(1-f)+g(2)*f' equation.

But for a rectangular plate this does not seem possible. Therefore we have used the analogues of the 3 shapes in shap349 but have had to complete the octant with a simple triangle.

In detail, the first 2 electrodes are those used in shap3d49, the third is also the same as the third in shap3d49, except that the 'outer' edge is now the straight line that goes from (x,y) = (0,R) to (R/sqrt(2),R/sqrt(2)). The fourth electrode is a simple triangle that fills in the top of the octant. Finally these 4 electrodes are repeated with the equations for x and y exchanged to complete a quadrant.