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ODE up to third order

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TomaMTD 2022-05-23 14:53:43 +02:00
parent a35b327f3f
commit 2555f117db
3 changed files with 485 additions and 136 deletions
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542
generic.ipynb
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File diff suppressed because one or more lines are too long

78
include/cosmology_calculator.hh
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@ -52,7 +52,7 @@ public:
private:
static constexpr double REL_PRECISION = 1e-10;
interpolated_function_1d<true,true,false> D_of_a_, f_of_a_, a_of_D_, E_of_a_, g_of_a_, Fa_of_a_, Fb_of_a_, ha_of_a_, hb_of_a_; // toma
interpolated_function_1d<true,true,false> D_of_a_, f_of_a_, a_of_D_, E_of_a_, g_of_a_, Fa_of_a_, Fb_of_a_, dotFa_of_a_, dotFb_of_a_, Fc_of_a_, dotFc_of_a_; // toma
double Dnow_, Dplus_start_, Dplus_target_, astart_, atarget_;
double m_n_s_, m_sqrtpnorm_;
@ -90,11 +90,12 @@ private:
*/
void compute_growth( std::vector<double>& tab_a, std::vector<double>& tab_D, std::vector<double>& tab_f,
std::vector<double>& tab_E, std::vector<double>& tab_g,
std::vector<double>& tab_Fa, std::vector<double>& tab_ha,
std::vector<double>& tab_Fb, std::vector<double>& tab_hb
std::vector<double>& tab_Fa, std::vector<double>& tab_dotFa,
std::vector<double>& tab_Fb, std::vector<double>& tab_dotFb,
std::vector<double>& tab_Fc, std::vector<double>& tab_dotFc
)
{
using v_t = vec_t<9, double>;
using v_t = vec_t<10, double>;
// set ICs, very deep in radiation domination
const double a0 = 1e-10;
@ -115,7 +116,9 @@ private:
const double Fb0 = 10./21*a0*a0*a0;
const double Fbprime0 = 60/21*std::pow(a0,5.0/2.0);
v_t y0({a0, D0, Dprime0, E0, Eprime0, Fa0, Faprime0, Fb0, Fbprime0});
const double Fc0 = -1.0/7.0*a0*a0*a0;
v_t y0({a0, D0, Dprime0, E0, Eprime0, Fa0, Faprime0, Fb0, Fbprime0, Fc0});
// set up integration
double dt = 1e-9;
@ -162,6 +165,9 @@ private:
dy[7] = Fbprime;
dy[8] = -a * H_of_a(a) * Fbprime + 3.0 / 2.0 * Omega_m * std::pow(H0, 2) * (Fb + 2.0*D*D*D - 2.0*E*D) / a;
dy[9] = D*Eprime-E*Dprime;
return dy;
};
@ -180,10 +186,13 @@ private:
tab_g.push_back(yy[4]); // temporarily store E' in table
tab_Fa.push_back(yy[5]); //
tab_ha.push_back(yy[6]); // temporarily store Fa' in table
tab_dotFa.push_back(yy[6]); // temporarily store Fa' in table
tab_Fb.push_back(yy[7]); //
tab_hb.push_back(yy[8]); // temporarily store Fb' in table
tab_dotFb.push_back(yy[8]); // temporarily store Fb' in table
tab_Fc.push_back(yy[9]); //
tab_dotFc.push_back(yy[9]); // temporarily store un-important random value
dt = dtnext;
}
@ -191,25 +200,22 @@ private:
std::ofstream output_file;
output_file.open("GrowthFactors.txt");
// compute f, before we stored here D'
output_file << "#" << "a" <<" "<< "D" << " " << "f" << " " << "E" << " " << "g" << " " << "Fa" << " " << "ha" << " " << "Fb" << " " << "hb" <<"\n";
output_file << "#" << "a" <<" "<< "D" << " " << "f" << " " << "E" << " " << "g" << " " << "Fa" << " " << "dotFa" << " " << "Fb" << " " << "dotFb" << " " <<"Fc" << " " << "dotFc" <<"\n";
for (size_t i = 0; i < tab_a.size(); ++i)
{
//tab_D[i] = tab_D[i];
//tab_E[i] = tab_E[i]; // toma
//tab_Fa[i] = tab_Fa[i]; // toma
//tab_Fb[i] = tab_Fb[i]; // toma
//tab_Fc[i] = tab_Fc[i]; // toma
//tab_a[i] = tab_a[i];
tab_dotFc[i] = (tab_D[i]*tab_g[i] - tab_E[i]*tab_f[i]); // toma
tab_f[i] = tab_f[i] / (tab_a[i] * H_of_a(tab_a[i]) * tab_D[i]);
tab_g[i] = -7.0/6.0 * tab_g[i] / (tab_a[i] * H_of_a(tab_a[i]) * tab_D[i] * tab_D[i]); // toma
tab_ha[i] = - tab_ha[i] / (tab_a[i] * H_of_a(tab_a[i]) * tab_D[i] * tab_D[i]); // toma
tab_hb[i] = 7.0/10.0 * tab_hb[i] / (tab_a[i] * H_of_a(tab_a[i]) * tab_D[i] * tab_D[i]); // toma
tab_D[i] = tab_D[i];
tab_E[i] = tab_E[i]; // toma
tab_Fa[i] = tab_Fa[i]; // toma
tab_Fb[i] = tab_Fb[i]; // toma
tab_a[i] = tab_a[i];
//toma
output_file << tab_a[i] <<" "<< tab_D[i] << " " << tab_f[i] << " " << tab_E[i] << " " << tab_g[i] << " " << tab_Fa[i] << " " << tab_ha[i] << " " << tab_Fb[i] << " " << tab_hb[i] <<"\n";
//output_file << tab_a[i] <<" "<< tab_D[i] << " " << tab_f[i] << " " << tab_E[i] << " " << tab_g[i] << " " << tab_Fa[i] << " " << tab_ha[i] << "\n";
output_file << tab_a[i] <<" "<< tab_D[i] << " " << tab_f[i] << " " << tab_E[i] << " " << tab_g[i] << " " << tab_Fa[i] << " " << tab_dotFa[i] << " " << tab_Fb[i] << " " << tab_dotFb[i] << " " << tab_Fc[i] << " " << tab_dotFc[i] << "\n";
}
output_file.close();
}
@ -230,8 +236,8 @@ public:
atarget_( 1.0/(1.0+cf.get_value_safe<double>("cosmology","ztarget",0.0)) )
{
// pre-compute growth factors and store for interpolation
std::vector<double> tab_a, tab_D, tab_f, tab_E, tab_g, tab_Fa, tab_ha, tab_Fb, tab_hb; // toma
this->compute_growth(tab_a, tab_D, tab_f, tab_E, tab_g, tab_Fa, tab_ha, tab_Fb, tab_hb); // toma
std::vector<double> tab_a, tab_D, tab_f, tab_E, tab_g, tab_Fa, tab_dotFa, tab_Fb, tab_dotFb, tab_Fc, tab_dotFc; // toma
this->compute_growth(tab_a, tab_D, tab_f, tab_E, tab_g, tab_Fa, tab_dotFa, tab_Fb, tab_dotFb, tab_Fc, tab_dotFc); // toma
D_of_a_.set_data(tab_a,tab_D);
f_of_a_.set_data(tab_a,tab_f);
a_of_D_.set_data(tab_D,tab_a);
@ -243,8 +249,10 @@ public:
Fa_of_a_.set_data(tab_a,tab_Fa);
Fb_of_a_.set_data(tab_a,tab_Fb);
ha_of_a_.set_data(tab_a,tab_ha);
hb_of_a_.set_data(tab_a,tab_hb);
Fc_of_a_.set_data(tab_a,tab_Fc);
dotFa_of_a_.set_data(tab_a,tab_dotFa);
dotFb_of_a_.set_data(tab_a,tab_dotFb);
dotFc_of_a_.set_data(tab_a,tab_dotFc);
Dnow_ = D_of_a_(1.0);
@ -378,7 +386,7 @@ public:
inline double H_of_a(double a) const noexcept
{
double HH2 = 0.0;
//HH2 += cosmo_param_["Omega_r"] / (a * a * a * a);
HH2 += cosmo_param_["Omega_r"] / (a * a * a * a);
HH2 += cosmo_param_["Omega_m"] / (a * a * a);
HH2 += cosmo_param_["Omega_k"] / (a * a);
HH2 += cosmo_param_["Omega_DE"] * std::pow(a, -3. * (1. + cosmo_param_["w_0"] + cosmo_param_["w_a"])) * exp(-3. * (1.0 - a) * cosmo_param_["w_a"]);
@ -441,16 +449,28 @@ public:
return Fb_of_a_(a);
}
real_t get_ha(real_t a) const noexcept
real_t get_3growthC_factor(real_t a) const noexcept
{
return ha_of_a_(a);
return Fc_of_a_(a);
}
real_t get_hb(real_t a) const noexcept
real_t get_dotFa(real_t a) const noexcept
{
return hb_of_a_(a);
return dotFa_of_a_(a);
}
real_t get_dotFb(real_t a) const noexcept
{
return dotFb_of_a_(a);
}
real_t get_dotFc(real_t a) const noexcept
{
return dotFc_of_a_(a);
}

1
src/ic_generator.cc
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@ -193,6 +193,7 @@ int run( config_file& the_config )
// Compute LPT time coefficients
//--------------------------------------------------------------------
const real_t Dplus0 = the_cosmo_calc->get_growth_factor(astart);
const real_t vfac = the_cosmo_calc->get_vfact(astart);
const real_t g1 = -Dplus0;