#  This AUXillary file gives the details of a standard tetrahedron for FluidIC
#  
#  

domain_dimension!
   3

no_fields!
  3

call_letters!
  M  V  P

no_ele_faces!
  4

no_ele_nodes_f!
  3

TET_BASIS!

#####################################################################

dim_field_M!
  3

no_basis_M!
  4

M_basis!
  1  -1  -1  -1
  0   1   0   0
  0   0   1   0
  0   0   0   1

M_P_basis!
  0   1   0   0
  0   0   1   0
  0   0   0   1

M_xi_coordinates!
  0   0   0
  1   0   0
  0   1   0
  0   0   1  

M_basis_ordering!
  1  1  1
  2  1  1
  1  2  1
  1  1  2

#####################################################################

dim_field_V!
  3

no_basis_V!
  4

V_basis!
  1  -1  -1  -1
  0   1   0   0
  0   0   1   0
  0   0   0   1

V_P_basis!
  0   1   0   0
  0   0   1   0
  0   0   0   1

V_xi_coordinates!
  0   0   0
  1   0   0
  0   1   0
  0   0   1  

V_basis_ordering!
  1  1  1
  2  1  1
  1  2  1
  1  1  2

#####################################################################

dim_field_P!
  3

no_basis_P!
  10

P_basis!
  1  -3  -3  -3   2   4   4   2   4   2
  0  -1   0   0   2   0   0   0   0   0
  0   0  -1   0   0   0   0   2   0   0
  0   0   0  -1   0   0   0   0   0   2
  0   4   0   0  -4  -4  -4   0   0   0
  0   0   4   0   0  -4   0  -4  -4   0
  0   0   0   4   0   0  -4   0  -4  -4
  0   0   0   0   0   4   0   0   0   0
  0   0   0   0   0   0   4   0   0   0
  0   0   0   0   0   0   0   0   4   0

P_P_basis!
  0   1   0   0   2   1   1   0   0   0
  0   0   1   0   0   1   0   2   1   0
  0   0   0   1   0   0   1   0   1   2

P_xi_coordinates!
  0   0   0
  1   0   0
  0   1   0
  0   0   1
  0.5   0   0
  0   0.5   0
  0   0   0.5
  0.5   0.5   0
  0.5   0   0.5
  0   0.5   0.5

P_basis_ordering!
  1  1  1
  3  1  1
  1  3  1
  1  1  3
  2  1  1
  1  2  1
  1  1  2
  2  2  1
  2  1  2
  1  2  2



#####################################################################


no_gauss!
  19

gauss_points!
     2.500000000000000e-01     2.500000000000000e-01     2.500000000000000e-01
                         0                         0                         0
     1.000000000000000e+00                         0                         0
                         0     1.000000000000000e+00                         0
                         0                         0     1.000000000000000e+00
     3.333333333333333e-01     3.333333333333333e-01     3.333333333333333e-01
                         0     3.333333333333333e-01     3.333333333333333e-01
     3.333333333333333e-01                         0     3.333333333333333e-01
     3.333333333333333e-01     3.333333333333333e-01                         0
     1.250000000000000e-01     1.250000000000000e-01     1.250000000000000e-01
     6.250000000000000e-01     1.250000000000000e-01     1.250000000000000e-01
     1.250000000000000e-01     6.250000000000000e-01     1.250000000000000e-01
     1.250000000000000e-01     1.250000000000000e-01     6.250000000000000e-01
     5.000000000000000e-01                         0                         0
                         0     5.000000000000000e-01                         0
                         0                         0     5.000000000000000e-01
     5.000000000000000e-01     5.000000000000000e-01                         0
     5.000000000000000e-01                         0     5.000000000000000e-01
                         0     5.000000000000000e-01     5.000000000000000e-01

gauss_weights!
     1.523809523809524e-01
     3.571428571428571e-03
     3.571428571428571e-03
     3.571428571428571e-03
     3.571428571428571e-03
     5.785714285714286e-02
     5.785714285714286e-02
     5.785714285714286e-02
     5.785714285714286e-02
     1.219047619047619e-01
     1.219047619047619e-01
     1.219047619047619e-01
     1.219047619047619e-01
     1.904761904761905e-02
     1.904761904761905e-02
     1.904761904761905e-02
     1.904761904761905e-02
     1.904761904761905e-02
     1.904761904761905e-02

no_gauss_f!
  6

gauss_points_f!
     9.157621350977074e-02     9.157621350977074e-02   0.0
     8.168475729804585e-01     9.157621350977074e-02   0.0
     9.157621350977074e-02     8.168475729804585e-01   0.0
     4.459484909159648e-01     4.459484909159648e-01   0.0
     1.081030181680702e-01     4.459484909159648e-01   0.0
     4.459484909159648e-01     1.081030181680702e-01   0.0

gauss_weights_f!
     1.099517436553219e-01
     1.099517436553219e-01
     1.099517436553219e-01
     2.233815896780115e-01
     2.233815896780115e-01
     2.233815896780115e-01

volume!
     1.666666666666667e-01

surface_area!
     0.5   0.5   0.5   8.660254037844390E-001