Particle-Mesh coupling

ParticleMeshCoupling( mesh,
                      no_particles, spline_degree, 
                      smoothing_type )

Kernel smoother with splines of arbitrary degree placed on a uniform mesh. Spline with index i starts at point i

• delta_x : Value of grid spacing along both directions.
• xmin, xmax, dimx : Definition of the domain
• nx : Array containing number ofpoints along each direction
• no_particles : Number of particles of underlying PIC method
• spline_degree : Degree of smoothing kernel spline
• n_span : Number of intervals where spline non zero (spline_degree + 1)
• scaling : Scaling factor depending on whether :galerkin or :collocation
• n_quad_points : Number of quadrature points
• spline_val: scratch data for spline evaluation
• spline_val_more : more scratch data for spline evaluation
• quad_x, quad_w : quadrature weights and points

add_charge!( rho, p, position, marker_charge)

Add charge of one particle

• p : kernel smoother object
• position : Position of the particle
• marker_charge : Particle weights time charge
• rho_dofs : Coefficient vector of the charge distribution

add_current_update_v!( j_dofs, p, 
                       position_old, position_new, 
                       marker_charge, qoverm, 
                       vi)

Add current for one particle and update v (according to $H_{p1}$ part in Hamiltonian splitting)

• Read out particle position and velocity
• Compute index_old, the index of the last DoF on the grid the

particle contributes to, and r_old, its position (normalized to cell size one).

evaluate(p, position, field_dofs)

Evaluate field at position

• p : Kernel smoother object
• position : Position of the particle
• field_dofs : Coefficient vector for the field DoFs
• field_value : Value(s) of the electric fields at given position

update_jv!(j_dofs, p, 
           lower, upper, index, marker_charge, 
           qoverm, sign, vi, bfield_dofs)

Helper function for add_current_update_v.