void AssemblyA0::interior_assembly(FEMContext & c)
{
const unsigned int n_components = rb_sys.n_vars();
// make sure we have three components
libmesh_assert_equal_to (n_components, 3);
const unsigned int u_var = rb_sys.u_var;
const unsigned int v_var = rb_sys.v_var;
const unsigned int w_var = rb_sys.w_var;
FEBase * elem_fe = libmesh_nullptr;
c.get_element_fe(u_var, elem_fe);
const std::vector<Real> & JxW = elem_fe->get_JxW();
// The velocity shape function gradients at interior
// quadrature points.
const std::vector<std::vector<RealGradient> > & dphi = elem_fe->get_dphi();
// Now we will build the affine operator
unsigned int n_qpoints = c.get_element_qrule().n_points();
std::vector<unsigned int> n_var_dofs(n_components);
n_var_dofs[u_var] = c.get_dof_indices(u_var).size();
n_var_dofs[v_var] = c.get_dof_indices(v_var).size();
n_var_dofs[w_var] = c.get_dof_indices(w_var).size();
for (unsigned int C_i = 0; C_i < n_components; C_i++)
{
unsigned int C_j = 0;
for (unsigned int C_k = 0; C_k < n_components; C_k++)
for (unsigned int C_l = 1; C_l < n_components; C_l++)
{
Real C_ijkl = elasticity_tensor(C_i, C_j, C_k, C_l);
for (unsigned int qp=0; qp<n_qpoints; qp++)
for (unsigned int i=0; i<n_var_dofs[C_i]; i++)
for (unsigned int j=0; j<n_var_dofs[C_k]; j++)
(c.get_elem_jacobian(C_i,C_k))(i,j) +=
JxW[qp]*(C_ijkl * dphi[i][qp](C_j)*dphi[j][qp](C_l));
}
}
for (unsigned int C_i = 0; C_i < n_components; C_i++)
for (unsigned int C_j = 1; C_j < n_components; C_j++)
for (unsigned int C_k = 0; C_k < n_components; C_k++)
{
unsigned int C_l = 0;
Real C_ijkl = elasticity_tensor(C_i, C_j, C_k, C_l);
for (unsigned int qp=0; qp<n_qpoints; qp++)
for (unsigned int i=0; i<n_var_dofs[C_i]; i++)
for (unsigned int j=0; j<n_var_dofs[C_k]; j++)
(c.get_elem_jacobian(C_i,C_k))(i,j) +=
JxW[qp]*(C_ijkl * dphi[i][qp](C_j)*dphi[j][qp](C_l));
}
}
void AssemblyF2::boundary_assembly(FEMContext & c)
{
if (rb_sys.get_mesh().get_boundary_info().has_boundary_id
(&c.get_elem(), c.side, BOUNDARY_ID_MAX_X))
{
const unsigned int u_var = 0;
const unsigned int w_var = 2;
FEBase * side_fe = libmesh_nullptr;
c.get_side_fe(u_var, side_fe);
const std::vector<Real> & JxW_side = side_fe->get_JxW();
const std::vector<std::vector<Real> > & phi_side = side_fe->get_phi();
// The number of local degrees of freedom in each variable
const unsigned int n_w_dofs = c.get_dof_indices(w_var).size();
// Now we will build the affine operator
unsigned int n_qpoints = c.get_side_qrule().n_points();
DenseSubVector<Number> & Fw = c.get_elem_residual(w_var);
for (unsigned int qp=0; qp < n_qpoints; qp++)
for (unsigned int i=0; i < n_w_dofs; i++)
Fw(i) += JxW_side[qp] * (1. * phi_side[i][qp]);
}
}
void InnerProductAssembly::interior_assembly(FEMContext & c)
{
const unsigned int u_var = rb_sys.u_var;
const unsigned int v_var = rb_sys.v_var;
const unsigned int w_var = rb_sys.w_var;
FEBase * elem_fe = libmesh_nullptr;
c.get_element_fe(u_var, elem_fe);
const std::vector<Real> & JxW = elem_fe->get_JxW();
// The velocity shape function gradients at interior
// quadrature points.
const std::vector<std::vector<RealGradient> >& dphi = elem_fe->get_dphi();
// The number of local degrees of freedom in each variable
const unsigned int n_u_dofs = c.get_dof_indices(u_var).size();
const unsigned int n_v_dofs = c.get_dof_indices(v_var).size();
const unsigned int n_w_dofs = c.get_dof_indices(w_var).size();
// Now we will build the affine operator
unsigned int n_qpoints = c.get_element_qrule().n_points();
DenseSubMatrix<Number> & Kuu = c.get_elem_jacobian(u_var, u_var);
DenseSubMatrix<Number> & Kvv = c.get_elem_jacobian(v_var, v_var);
DenseSubMatrix<Number> & Kww = c.get_elem_jacobian(w_var, w_var);
for (unsigned int qp=0; qp<n_qpoints; qp++)
{
for (unsigned int i=0; i<n_u_dofs; i++)
for (unsigned int j=0; j<n_u_dofs; j++)
Kuu(i,j) += JxW[qp]*(dphi[i][qp]*dphi[j][qp]);
for (unsigned int i=0; i<n_v_dofs; i++)
for (unsigned int j=0; j<n_v_dofs; j++)
Kvv(i,j) += JxW[qp]*(dphi[i][qp]*dphi[j][qp]);
for (unsigned int i=0; i<n_w_dofs; i++)
for (unsigned int j=0; j<n_w_dofs; j++)
Kww(i,j) += JxW[qp]*(dphi[i][qp]*dphi[j][qp]);
}
}