host_forcing now committed. Sorry.

This commit is contained in:
Miikka Vaisala
2019-07-03 09:55:23 +08:00
parent 334ff868d9
commit f0d2be831e
2 changed files with 225 additions and 0 deletions

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/*
Copyright (C) 2014-2019, Johannes Pekkilae, Miikka Vaeisalae.
This file is part of Astaroth.
Astaroth is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
Astaroth is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with Astaroth. If not, see <http://www.gnu.org/licenses/>.
*/
/**
* @file
* \brief Brief info.
*
* Detailed info.
*
*/
#include "host_forcing.h"
#include "core/math_utils.h"
//The is a wrapper for genering random numbers with a chosen system.
AcReal
get_random_number_01()
{
//TODO: Implement better randon number generator http://www.cplusplus.com/reference/random/
return AcReal(rand())/AcReal(RAND_MAX);
}
AcReal3
cross(const AcReal3& a, const AcReal3& b)
{
AcReal3 c;
c.x = a.y * b.z - a.z * b.y;
c.y = a.z * b.x - a.x * b.z;
c.z = a.x * b.y - a.y * b.x;
return c;
}
AcReal
dot(const AcReal3& a, const AcReal3& b)
{
return a.x * b.x + a.y * b.y + a.z * b.z;
}
AcReal3
vec_norm(const AcReal3& a)
{
AcReal3 c;
AcReal norm = dot(a, a);
c.x = a.x/sqrt(norm);
c.y = a.y/sqrt(norm);
c.z = a.z/sqrt(norm);
return c;
}
AcReal3
vec_multi_scal(const AcReal scal, const AcReal3& a)
{
AcReal3 c;
c.x = a.x*scal;
c.y = a.y*scal;
c.z = a.z*scal;
return c;
}
// Generate forcing wave vector k_force
AcReal3
helical_forcing_k_generator(const AcReal kmax, const AcReal kmin)
{
AcReal phi, theta, kk; //Spherical direction coordinates
AcReal3 k_force; //forcing wave vector
AcReal delta_k = kmax - kmin;
// Generate vector in spherical coordinates
phi = AcReal(2.0)*AcReal(M_PI)*get_random_number_01();
theta = AcReal(M_PI)*get_random_number_01();
kk = delta_k*get_random_number_01() + kmin;
// Cast into Cartesian form
k_force = (AcReal3){kk*sin(theta)*cos(phi),
kk*sin(theta)*sin(phi),
kk*cos(theta) };
//printf("k_force.x %f, k_force.y %f, k_force.z %f \n", k_force.x, k_force.y, k_force.z);
//Round the numbers. In that way k(x/y/z) will get complete waves.
k_force.x = round(k_force.x); k_force.y = round(k_force.y); k_force.z = round(k_force.z);
//printf("After rounding --> k_force.x %f, k_force.y %f, k_force.z %f \n", k_force.x, k_force.y, k_force.z);
return k_force;
}
//Generate the unit perpendicular unit vector e required for helical forcing
//Addapted from Pencil code forcing.f90 hel_vec() subroutine.
void
helical_forcing_e_generator(AcReal3* e_force, const AcReal3 k_force)
{
AcReal3 k_cross_e = cross(k_force, *e_force);
k_cross_e = vec_norm(k_cross_e);
AcReal3 k_cross_k_cross_e = cross(k_force, k_cross_e);
k_cross_k_cross_e = vec_norm(k_cross_k_cross_e);
AcReal phi = AcReal(2.0)*AcReal(M_PI)*get_random_number_01();
AcReal3 ee_tmp1 = vec_multi_scal(cos(phi),k_cross_e);
AcReal3 ee_tmp2 = vec_multi_scal(sin(phi), k_cross_k_cross_e);
*e_force = (AcReal3){ee_tmp1.x + ee_tmp2.x,
ee_tmp1.y + ee_tmp2.y,
ee_tmp1.z + ee_tmp2.z};
}
//PC Manual Eq. 223
void
helical_forcing_special_vector(AcReal3* ff_hel_re, AcReal3* ff_hel_im, const AcReal3 k_force,
const AcReal3 e_force, const AcReal relhel)
{
// k dot e
AcReal3 kdote;
kdote.x = k_force.x * e_force.x;
kdote.y = k_force.y * e_force.y;
kdote.z = k_force.z * e_force.z;
// k cross e
AcReal3 k_cross_e;
k_cross_e.x=k_force.y*e_force.z-k_force.z*e_force.y;
k_cross_e.y=k_force.z*e_force.x-k_force.x*e_force.z;
k_cross_e.z=k_force.x*e_force.y-k_force.y*e_force.x;
// k cross k cross e
AcReal3 k_cross_k_cross_e;
k_cross_k_cross_e.x=k_force.y*k_cross_e.z-k_force.z*k_cross_e.y;
k_cross_k_cross_e.y=k_force.z*k_cross_e.x-k_force.x*k_cross_e.z;
k_cross_k_cross_e.z=k_force.x*k_cross_e.y-k_force.y*k_cross_e.x;
// abs(k)
AcReal kabs = sqrt(k_force.x*k_force.x + k_force.y*k_force.y + k_force.z*k_force.z);
AcReal denominator = sqrt(AcReal(1.0) + relhel*relhel)*kabs
*sqrt(kabs*kabs - (kdote.x*kdote.x + kdote.y*kdote.y + kdote.z*kdote.z));
//MV: I suspect there is a typo in the Pencil Code manual!
//*ff_hel_re = (AcReal3){-relhel*kabs*k_cross_e.x/denominator,
// -relhel*kabs*k_cross_e.y/denominator,
// -relhel*kabs*k_cross_e.z/denominator};
//*ff_hel_im = (AcReal3){k_cross_k_cross_e.x/denominator,
// k_cross_k_cross_e.y/denominator,
// k_cross_k_cross_e.z/denominator};
// See PC forcing.f90 forcing_hel_both()
*ff_hel_re = (AcReal3){kabs*k_cross_e.x/denominator,
kabs*k_cross_e.y,
kabs*k_cross_e.z};
*ff_hel_im = (AcReal3){relhel*k_cross_k_cross_e.x/denominator,
relhel*k_cross_k_cross_e.y,
relhel*k_cross_k_cross_e.z};
}

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/*
Copyright (C) 2014-2019, Johannes Pekkilae, Miikka Vaeisalae.
This file is part of Astaroth.
Astaroth is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
Astaroth is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with Astaroth. If not, see <http://www.gnu.org/licenses/>.
*/
/**
* @file
* \brief Brief info.
*
* Detailed info.
*
*/
#pragma once
#include "astaroth.h"
AcReal get_random_number_01();
AcReal3 cross(const AcReal3& a, const AcReal3& b);
AcReal dot(const AcReal3& a, const AcReal3& b);
AcReal3 vec_norm(const AcReal3& a);
AcReal3 vec_multi_scal(const AcReal scal, const AcReal3& a);
AcReal3 helical_forcing_k_generator(const AcReal kmax, const AcReal kmin);
void helical_forcing_e_generator(AcReal3* e_force, const AcReal3 k_force);
void helical_forcing_special_vector(AcReal3* ff_hel_re, AcReal3* ff_hel_im, const AcReal3 k_force, const AcReal3 e_force, const AcReal relhel);