35 for (
size_t i=0; i<6; i++)
36 sign_[i] = (s[i]) ? -1.0 : 1.0;
38 n_[0] = {-1.0, 0.0, 0.0};
39 n_[1] = { 1.0, 0.0, 0.0};
40 n_[2] = { 0.0, -1.0, 0.0};
41 n_[3] = { 0.0, 1.0, 0.0};
42 n_[4] = { 0.0, 0.0, -1.0};
43 n_[5] = { 0.0, 0.0, 1.0};
58 typedef typename LB::Traits::RangeFieldType Scalar;
59 typedef typename LB::Traits::DomainFieldType Vector;
62 fill(out.begin(), out.end(), 0.0);
65 const auto& rule1 = QuadratureRules<Scalar,2>::rule(GeometryTypes::cube(2), qOrder);
67 for (
auto&& qp : rule1)
69 Dune::FieldVector<Scalar,2> qPos = qp.position();
70 typename LB::Traits::DomainType localPos;
72 localPos = {0.0, qPos[0], qPos[1]};
74 out[0] += (y[0]*n_[0][0] + y[1]*n_[0][1] + y[2]*n_[0][2])*qp.weight()*sign_[0];
75 out[6] += (y[0]*n_[0][0] + y[1]*n_[0][1] + y[2]*n_[0][2])*(2.0*qPos[0] - 1.0)*qp.weight();
76 out[12] += (y[0]*n_[0][0] + y[1]*n_[0][1] + y[2]*n_[0][2])*(2.0*qPos[1] - 1.0)*qp.weight();
77 out[18] += (y[0]*n_[0][0] + y[1]*n_[0][1] + y[2]*n_[0][2])*(2.0*qPos[0] - 1.0)*(2.0*qPos[1] - 1.0)*qp.weight();
79 localPos = {1.0, qPos[0], qPos[1]};
81 out[1] += (y[0]*n_[1][0] + y[1]*n_[1][1] + y[2]*n_[1][2])*qp.weight()*sign_[1];
82 out[7] += (y[0]*n_[1][0] + y[1]*n_[1][1] + y[2]*n_[1][2])*(1.0 - 2.0*qPos[0])*qp.weight();
83 out[13] += (y[0]*n_[1][0] + y[1]*n_[1][1] + y[2]*n_[1][2])*(1.0 - 2.0*qPos[1])*qp.weight();
84 out[19] += (y[0]*n_[1][0] + y[1]*n_[1][1] + y[2]*n_[1][2])*(1.0 - 2.0*qPos[0])*(2.0*qPos[1] - 1.0)*qp.weight();
86 localPos = {qPos[0], 0.0, qPos[1]};
88 out[2] += (y[0]*n_[2][0] + y[1]*n_[2][1] + y[2]*n_[2][2])*qp.weight()*sign_[2];
89 out[8] += (y[0]*n_[2][0] + y[1]*n_[2][1] + y[2]*n_[2][2])*(1.0 - 2.0*qPos[0])*qp.weight();
90 out[14] += (y[0]*n_[2][0] + y[1]*n_[2][1] + y[2]*n_[2][2])*(2.0*qPos[1] - 1.0)*qp.weight();
91 out[20] += (y[0]*n_[2][0] + y[1]*n_[2][1] + y[2]*n_[2][2])*(1.0 - 2.0*qPos[0])*(2.0*qPos[1] - 1.0)*qp.weight();
93 localPos = {qPos[0], 1.0, qPos[1]};
95 out[3] += (y[0]*n_[3][0] + y[1]*n_[3][1] + y[2]*n_[3][2])*qp.weight()*sign_[3];
96 out[9] += (y[0]*n_[3][0] + y[1]*n_[3][1] + y[2]*n_[3][2])*(2.0*qPos[0] - 1.0)*qp.weight();
97 out[15] += (y[0]*n_[3][0] + y[1]*n_[3][1] + y[2]*n_[3][2])*(1.0 - 2.0*qPos[1])*qp.weight();
98 out[21] += (y[0]*n_[3][0] + y[1]*n_[3][1] + y[2]*n_[3][2])*(2.0*qPos[0] - 1.0)*(2.0*qPos[1] - 1.0)*qp.weight();
100 localPos = {qPos[0], qPos[1], 0.0};
102 out[4] += (y[0]*n_[4][0] + y[1]*n_[4][1] + y[2]*n_[4][2])*qp.weight()*sign_[4];
103 out[10] += (y[0]*n_[4][0] + y[1]*n_[4][1] + y[2]*n_[4][2])*(1.0 - 2.0*qPos[0])*qp.weight();
104 out[16] += (y[0]*n_[4][0] + y[1]*n_[4][1] + y[2]*n_[4][2])*(1.0 - 2.0*qPos[1])*qp.weight();
105 out[22] += (y[0]*n_[4][0] + y[1]*n_[4][1] + y[2]*n_[4][2])*(1.0 - 2.0*qPos[0])*(2.0*qPos[1] - 1.0)*qp.weight();
107 localPos = {qPos[0], qPos[1], 1.0};
109 out[5] += (y[0]*n_[5][0] + y[1]*n_[5][1] + y[2]*n_[5][2])*qp.weight()*sign_[5];
110 out[11] += (y[0]*n_[5][0] + y[1]*n_[5][1] + y[2]*n_[5][2])*(2.0*qPos[0] - 1.0)*qp.weight();
111 out[17] += (y[0]*n_[5][0] + y[1]*n_[5][1] + y[2]*n_[5][2])*(2.0*qPos[1] - 1.0)*qp.weight();
112 out[23] += (y[0]*n_[5][0] + y[1]*n_[5][1] + y[2]*n_[5][2])*(2.0*qPos[0] - 1.0)*(2.0*qPos[1] - 1.0)*qp.weight();
115 const auto& rule2 = QuadratureRules<Vector,3>::rule(GeometryTypes::cube(3), qOrder);
116 for (
auto&& qp : rule2)
118 FieldVector<double,3> qPos = qp.position();
121 out[24] += y[0]*qp.weight();
122 out[25] += y[1]*qp.weight();
123 out[26] += y[2]*qp.weight();
124 out[27] += y[0]*qPos[1]*qp.weight();
125 out[28] += y[0]*qPos[2]*qp.weight();
126 out[29] += y[1]*qPos[0]*qp.weight();
127 out[30] += y[1]*qPos[2]*qp.weight();
128 out[31] += y[2]*qPos[0]*qp.weight();
129 out[32] += y[2]*qPos[1]*qp.weight();
130 out[33] += y[0]*qPos[1]*qPos[2]*qp.weight();
131 out[34] += y[1]*qPos[0]*qPos[2]*qp.weight();
132 out[35] += y[2]*qPos[0]*qPos[1]*qp.weight();