Fix v X B

This commit is contained in:
Cory Balaton 2023-10-02 21:49:35 +02:00
parent 25f018f35f
commit 5509efc301
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GPG Key ID: 3E5FCEBFD80F432B
2 changed files with 40 additions and 18 deletions

View File

@ -75,6 +75,10 @@ public:
/** @brief Go forward one timestep using the forward Euler method
* */
void evolve_forward_euler(double dt);
arma::vec get_particle(int i);
double get_d();
};
#endif

View File

@ -9,21 +9,19 @@
*
* @bug No known bugs
*
* @todo Implement add_particle
* @todo Implement external_E_field
* @todo Implement external_B_field
* @todo Implement force_on_particle
* @todo Implement total_force_external
* @todo Implement total_force_particles
* @todo Implement total_force
* @todo Implement evolve_RK4
* @todo Implement evolve_forward_euler
* */
#include "utils.hpp"
#include "PenningTrap.hpp"
#include "constants.hpp"
#include <algorithm>
#include <stdexcept>
#include <omp.h>
#pragma omp declare reduction( + : arma::vec : omp_out += omp_in ) \
initializer( omp_priv = omp_orig )
PenningTrap::PenningTrap(double B_0, double V_0, double d)
{
@ -40,13 +38,12 @@ void PenningTrap::add_particle(Particle particle)
arma::vec PenningTrap::external_E_field(arma::vec r)
{
arma::vec::fixed<3> res;
double x = r(0), y = r(1), z = r(2);
double f = this->V_0/2*this->d*this->d;
res(0) = f*2*x;
res(1) = f*2*y;
res(2) = -f*4*z;
double f = this->V_0/(this->d*this->d);
res(0) = r(0);
res(1) = r(1);
res(2) = -2.*r(2);
return res;
return f*res;
}
arma::vec PenningTrap::external_B_field(arma::vec r)
@ -82,9 +79,9 @@ arma::vec PenningTrap::total_force_external(int i)
arma::vec::fixed<3> B = this->external_B_field(p.r_vec);
v_cross_B(0) = p.v_vec(2)*B(3) - p.v_vec(3)*B(2);
v_cross_B(1) = p.v_vec(1)*B(3) - p.v_vec(3)*B(1);
v_cross_B(2) = p.v_vec(1)*B(2) - p.v_vec(2)*B(1);
v_cross_B(0) = p.v_vec(1)*B(2) - p.v_vec(2)*B(1);
v_cross_B(1) = p.v_vec(2)*B(0) - p.v_vec(0)*B(2);
v_cross_B(2) = p.v_vec(0)*B(1) - p.v_vec(1)*B(0);
arma::vec force = p.q
*(this->external_E_field(p.r_vec) + v_cross_B);
@ -96,7 +93,7 @@ arma::vec PenningTrap::total_force_particles(int i)
{
Particle p = this->particles.at(i);
arma::vec::fixed<3> res;
arma::vec res(3);
for (int j=0; j < this->particles.size(); j++) {
if (i == j) {
@ -106,7 +103,7 @@ arma::vec PenningTrap::total_force_particles(int i)
res += this->force_on_particle(i, j);
}
res *= K_E*p.q/p.m;
res *= K_E*(p.q/p.m);
return res;
}
@ -123,5 +120,26 @@ void PenningTrap::evolve_RK4(double dt)
void PenningTrap::evolve_forward_euler(double dt)
{
std::vector<Particle> new_state = this->particles;
Particle *p;
#pragma omp parallel for private(p)
for (int i=0; i < this->particles.size(); i++) {
p = &new_state.at(i);
p->v_vec += dt*this->total_force(i)/new_state.at(i).m;
p->r_vec += dt*this->particles.at(i).v_vec;
}
this->particles = new_state;
}
arma::vec PenningTrap::get_particle(int i)
{
return this->particles.at(i).r_vec;
}
double PenningTrap::get_d()
{
return this->d;
}