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particle_to_mesh_map.cpp
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particle_to_mesh_map.cpp
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#include "particle_to_mesh_map.h"
// Eval charge density on grid
void Particle_to_mesh_map::weight_particles_charge_to_mesh(
Spatial_mesh &spat_mesh, Particle_sources_manager &particle_sources )
{
// Rewrite:
// forall particles {
// find nonzero weights and corresponding nodes
// charge[node] = weight(particle, node) * particle.charge
// }
double dx = spat_mesh.x_cell_size;
double dy = spat_mesh.y_cell_size;
double dz = spat_mesh.z_cell_size;
double cell_volume = dx * dy * dz;
double volume_around_node = cell_volume;
int tlf_i, tlf_j, tlf_k; // 'tlf' = 'top_left_far'
double tlf_x_weight, tlf_y_weight, tlf_z_weight;
for( auto& part_src: particle_sources.sources ) {
for( auto& p : part_src.particles ) {
next_node_num_and_weight( vec3d_x( p.position ), dx, &tlf_i, &tlf_x_weight );
next_node_num_and_weight( vec3d_y( p.position ), dy, &tlf_j, &tlf_y_weight );
next_node_num_and_weight( vec3d_z( p.position ), dz, &tlf_k, &tlf_z_weight );
spat_mesh.charge_density[tlf_i][tlf_j][tlf_k] +=
tlf_x_weight * tlf_y_weight * tlf_z_weight
* p.charge / volume_around_node;
spat_mesh.charge_density[tlf_i-1][tlf_j][tlf_k] +=
( 1.0 - tlf_x_weight ) * tlf_y_weight * tlf_z_weight
* p.charge / volume_around_node;
spat_mesh.charge_density[tlf_i][tlf_j-1][tlf_k] +=
tlf_x_weight * ( 1.0 - tlf_y_weight ) * tlf_z_weight
* p.charge / volume_around_node;
spat_mesh.charge_density[tlf_i-1][tlf_j-1][tlf_k] +=
( 1.0 - tlf_x_weight ) * ( 1.0 - tlf_y_weight ) * tlf_z_weight
* p.charge / volume_around_node;
spat_mesh.charge_density[tlf_i][tlf_j][tlf_k - 1] +=
tlf_x_weight * tlf_y_weight * ( 1.0 - tlf_z_weight )
* p.charge / volume_around_node;
spat_mesh.charge_density[tlf_i-1][tlf_j][tlf_k - 1] +=
( 1.0 - tlf_x_weight ) * tlf_y_weight * ( 1.0 - tlf_z_weight )
* p.charge / volume_around_node;
spat_mesh.charge_density[tlf_i][tlf_j-1][tlf_k - 1] +=
tlf_x_weight * ( 1.0 - tlf_y_weight ) * ( 1.0 - tlf_z_weight )
* p.charge / volume_around_node;
spat_mesh.charge_density[tlf_i-1][tlf_j-1][tlf_k - 1] +=
( 1.0 - tlf_x_weight ) * ( 1.0 - tlf_y_weight ) * ( 1.0 - tlf_z_weight )
* p.charge / volume_around_node;
}
}
return;
}
Vec3d Particle_to_mesh_map::field_at_particle_position(
Spatial_mesh &spat_mesh, Particle &p )
{
double dx = spat_mesh.x_cell_size;
double dy = spat_mesh.y_cell_size;
double dz = spat_mesh.z_cell_size;
int tlf_i, tlf_j, tlf_k; // 'tlf' = 'top_left_far'
double tlf_x_weight, tlf_y_weight, tlf_z_weight;
Vec3d field_from_node, total_field;
//
next_node_num_and_weight( vec3d_x( p.position ), dx, &tlf_i, &tlf_x_weight );
next_node_num_and_weight( vec3d_y( p.position ), dy, &tlf_j, &tlf_y_weight );
next_node_num_and_weight( vec3d_z( p.position ), dz, &tlf_k, &tlf_z_weight );
// tlf
total_field = vec3d_zero();
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i][tlf_j][tlf_k],
tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
// trf
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i-1][tlf_j][tlf_k],
1.0 - tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
// blf
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i][tlf_j - 1][tlf_k],
tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
// brf
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i-1][tlf_j-1][tlf_k],
1.0 - tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
// tln
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i][tlf_j][tlf_k-1],
tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
// trn
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i-1][tlf_j][tlf_k-1],
1.0 - tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
// bln
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i][tlf_j - 1][tlf_k-1],
tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
// brn
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i-1][tlf_j-1][tlf_k-1],
1.0 - tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
//
return total_field;
}
Vec3d Particle_to_mesh_map::force_on_particle(
Spatial_mesh &spat_mesh, Particle &p )
{
double dx = spat_mesh.x_cell_size;
double dy = spat_mesh.y_cell_size;
double dz = spat_mesh.z_cell_size;
int tlf_i, tlf_j, tlf_k; // 'tlf' = 'top_left_far'
double tlf_x_weight, tlf_y_weight, tlf_z_weight;
Vec3d field_from_node, total_field, force;
//
next_node_num_and_weight( vec3d_x( p.position ), dx, &tlf_i, &tlf_x_weight );
next_node_num_and_weight( vec3d_y( p.position ), dy, &tlf_j, &tlf_y_weight );
next_node_num_and_weight( vec3d_z( p.position ), dz, &tlf_k, &tlf_z_weight );
// tlf
total_field = vec3d_zero();
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i][tlf_j][tlf_k],
tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
// trf
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i-1][tlf_j][tlf_k],
1.0 - tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
// blf
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i][tlf_j - 1][tlf_k],
tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
// brf
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i-1][tlf_j-1][tlf_k],
1.0 - tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
// tln
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i][tlf_j][tlf_k-1],
tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
// trn
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i-1][tlf_j][tlf_k-1],
1.0 - tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
// bln
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i][tlf_j - 1][tlf_k-1],
tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
// brn
field_from_node = vec3d_times_scalar(
spat_mesh.electric_field[tlf_i-1][tlf_j-1][tlf_k-1],
1.0 - tlf_x_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_y_weight );
field_from_node = vec3d_times_scalar( field_from_node, 1.0 - tlf_z_weight );
total_field = vec3d_add( total_field, field_from_node );
//
force = vec3d_times_scalar( total_field, p.charge );
return force;
}
void Particle_to_mesh_map::next_node_num_and_weight(
const double x, const double grid_step,
int *next_node, double *weight )
{
double x_in_grid_units = x / grid_step;
*next_node = ceil( x_in_grid_units );
*weight = 1.0 - ( *next_node - x_in_grid_units );
return;
}