// mound.fe
// Evolver data for drop of prescribed volume sitting on plane with gravity.
// Contact angle with plane can be varied.  Illustrates using Green's
// Theorem to represent contact energy with plane.

gravity_constant 0

PARAMETER angle = 90    // interior angle between plane and surface, degrees

#define T  (-cos(angle*pi/180))  // virtual tension of facet on plane
 
constraint 1   /* the table top */
formula: x3 = 0
energy:  // for contact angle
e1: -T*y
e2: 0
e3: 0 

vertices
1   0.0  0.0 0.0  constraint 1  /* 4 vertices on plane */
2   1.0  0.0 0.0  constraint 1
3   1.0  1.0 0.0  constraint 1
4   0.0  1.0 0.0  constraint 1
5   0.0  0.0 1.0
6   1.0  0.0 1.0
7   1.0  1.0 1.0
8   0.0  1.0 1.0
9   2.0  2.0 0.0  fixed   /* for table top */
10  2.0 -1.0 0.0  fixed
11 -1.0 -1.0 0.0  fixed
12 -1.0  2.0 0.0  fixed

edges  /* given by endpoints and attribute */
1   1 2    constraint 1 /* 4 edges on plane */
2   2 3    constraint 1
3   3 4    constraint 1
4   4 1    constraint 1
5   5 6
6   6 7  
7   7 8 
8   8 5
9   1 5   
10  2 6  
11  3 7 
12  4 8
13  9 10   fixed no_refine  /* for table top */ no_refine
14 10 11   fixed no_refine
15 11 12   fixed no_refine
16 12  9   fixed no_refine

faces  /* given by oriented edge loop */
1   1 10 -5  -9
2   2 11 -6 -10
3   3 12 -7 -11
4   4  9 -8 -12
5   5  6  7   8
7  13 14 15  16  density 0 fixed no_refine /* table top for display */

bodies  /* one body, defined by its oriented faces */
1   1 2 3 4 5   volume 1  density 1

read

// typical evolution
gogo := { refine edge where on_constraint 1;
	  g 5;
	  r;
	  g 12;
	  r;
	  g 22;
	  convert_to_quantities;
	  hessian_normal; hessian_seek;
	  hessian; hessian;
     }