def __init__(self, tov_solver_config):
self.__config = tov_solver_config
# TODO: File name must be read from config file.
self.__eos = EoS(
filename=self.__config.getEoSFileName(),
central_energy_density=self.__config.getCentralEnergy(),
verbose=False)
def __init__(self, tov_solver_config):
self.__config = tov_solver_config
# TODO: File name must be read from config file.
self.__eos = EoS(filename=self.__config.getEoSFileName(),
central_energy_density=self.__config.getCentralEnergy(),
verbose=False)
class TOVSolver:
""" TOV equation solver. """
def __init__(self, tov_solver_config):
self.__config = tov_solver_config
# TODO: File name must be read from config file.
self.__eos = EoS(
filename=self.__config.getEoSFileName(),
central_energy_density=self.__config.getCentralEnergy(),
verbose=False)
def evaluate(self, epsilon, pressure):
eval_epsilon = 0
eval_pressure = 0
pressure_0 = self.__eos.pressure_from_energy(1.)
# pressure_0 = 0
if epsilon > 0:
eval_pressure = self.__eos.pressure_from_energy(epsilon)
if pressure > 0:
eval_epsilon = self.__eos.energy_from_pressure(pressure)
self.output_interpolation_header(
self.__config.getConfigFileName(), self.__config.getEoSFileName(),
self.__config.getCentralEnergy(),
pressure_0 * self.__config.getCentralEnergy(),
eval_epsilon * self.__config.getCentralEnergy(),
eval_pressure * self.__config.getCentralEnergy())
def run(self):
tov_equations = TOVEquations(self.__eos)
# Initial conditions, all values dimensionless.
mass_0 = 0
energy_0 = 1
pressure_0 = float(self.__eos.pressure_from_energy(energy_0))
self.output_header(self.__config.getConfigFileName(),
self.__config.getEoSFileName(),
self.__config.getCentralEnergy(),
pressure_0 * self.__config.getCentralEnergy(),
self.__config.getTransitionPressure(),
self.__config.getCutoffDensity(),
self.__config.getRadiusScaleFactor(),
self.__config.getMassScaleFactor())
rk_parameters = RungeKuttaParameters(
first_element=self.__config.rk_inferior_lim,
last_element=self.__config.rk_superior_lim,
rk_steps=self.__config.rk_ode_steps,
derivatives=[
tov_equations.delta_m_delta_eta,
tov_equations.delta_p_delta_eta
],
initial_conditions=[mass_0, pressure_0],
verbose=False)
# print("self.__config.getCutoffDensity() = {}".format(type(self.__config.getCutoffDensity())))
# print("self.__config.getCentralEnergy() = {}".format(type(self.__config.getCentralEnergy())))
rk4 = TOVRungeKutta(
rk_parameters=rk_parameters,
central_energy=self.__config.getCentralEnergy(),
cutoff_density=self.__config.getCutoffDensity() *
const.LIGHT_SPEED_SQUARED,
transition_pressure=self.__config.getTransitionPressure())
# Debugging purposes
# self.solve_via_scipy(rk_parameters, tov_equations)
# TODO: this part can be improved.
rk4.run()
results = rk4.get_result()
star_mass = results.mass * self.__config.getMassScaleFactor(
) / const.SUN_MASS
# The result is dimensionless. It must be converted to km.
star_radius = results.eta * self.__config.getRadiusScaleFactor(
) * const.LENGTH_TO_KM
radius_phase_transition_bar = results.radius_phase_transition_bar * \
self.__config.getRadiusScaleFactor() * const.LENGTH_TO_KM
quark_core_mass = results.mass_quark_core_bar * self.__config.getMassScaleFactor(
) / const.SUN_MASS
self.output_summary(star_mass, quark_core_mass, star_radius, 0,
radius_phase_transition_bar, 0, 0, 0)
# eta = np.linspace(self.__inferior_lim, self.__superior_lim, self.__ode_steps)
#
# for solution in tov_solution:
# plt.plot(eta, solution, label='Pressure')
#
# # plot results
# print("Plotting...")
# plt.grid(True)
# plt.figure(2)
def output_header(self, config_file_name, eos_file_name, epsilon_0,
pressure_0, transition_pressure, cutoff_density,
scale_radius, scale_mass):
header_format = \
("#--------------------------------------------------------------------------------------------#\n"
"#-------------------------------- TOV Solver - Solver Mode --------------------------------#\n"
"#--------------------------------------------------------------------------------------------#\n"
"# PARAMETERS #\n"
"#--------------------------------------------------------------------------------------------#\n"
"# CONFIG FILE : {}\n"
"# EOS FILE : {}\n"
"# EPSILON_0 (erg/cm3) : {}\n"
"# PRESSURE_0 : {}\n"
"# TRANSITION_PRESSURE : {}\n"
"# CUTOFF_DENSITY (g/cm3) : {}\n"
"# SCALE_RADIUS (cm) : {:0.05e}\n"
"# SCALE_MASS (g) : {:0.05e}")
print(
header_format.format(config_file_name, eos_file_name, epsilon_0,
pressure_0, transition_pressure,
cutoff_density, scale_radius, scale_mass))
def output_summary(self, star_mass, quark_core_mass, star_radius,
baryon_number, radius_phase_transition, info_entropy,
diseq, complexity):
summary_format = \
("#\n"
"#--------------------------------------------------------------------------------------------#\n"
"# SUMMARY #\n"
"#--------------------------------------------------------------------------------------------#\n"
"#\n"
"# Star Radius (km) : {}\n"
"# Quark Core Radius (km) : {}\n"
"#\n"
"# Star Mass (Solar Units) : {}\n"
"# Quark Core Mass (Solar Units) : {}\n"
"#\n"
"# Baryon Number : {}\n"
"#\n"
"# Information Entropy : {}\n"
"# Disequilibrium : {}\n"
"# Complexity : {}\n"
"#\n"
"#--------------------------------------------------------------------------------------------#\n")
print(
summary_format.format(
star_radius,
radius_phase_transition if radius_phase_transition > 0 else 0,
star_mass, quark_core_mass if quark_core_mass > 0 else 0,
baryon_number, info_entropy, diseq, complexity))
def output_interpolation_header(self, config_file_name, eos_file_name,
epsilon_0, pressure_0, epsilon, pressure):
header_format = \
("#--------------------------------------------------------------------------------------------#\n"
"#---------------------------- TOV Solver - Interpolation Mode -----------------------------#\n"
"#--------------------------------------------------------------------------------------------#\n"
"# Config File : {}\n"
"# EoS File : {}\n"
"# RHO_0 (g/cm^3) : {:10e}\n"
"# EPSILON_0 (erg/cm^3) : {:10e}\n"
"# PRESSURE_0 : {:10e}\n"
"#--------------------------------------------------------------------------------------------#\n"
"# Epsilon : {:10e}\n"
"# Epsilon (adim) : {:10e}\n"
"# Pressure : {:10e}\n"
"# Pressure (adim) : {:10e}\n"
"#--------------------------------------------------------------------------------------------#\n")
print(
header_format.format(config_file_name, eos_file_name,
epsilon_0 / const.LIGHT_SPEED**2., epsilon_0,
pressure_0, epsilon, epsilon / epsilon_0,
pressure, pressure / epsilon_0))
def solve_via_scipy(self, rk_parameters, tov_equations):
eta = np.linspace(rk_parameters.first_element,
rk_parameters.last_element, 1000)
try:
parameters = [0, 0]
solutions = integrate.odeint(tov_equations.vector_field,
rk_parameters.initial_conditions,
eta,
args=(parameters, ))
mass_sol = solutions[:, 0]
press_sol = solutions[:, 1]
except:
traceback.print_exc()
plt.figure()
#plt.plot(eta, mass_sol, label='Massa')
plt.plot(eta, press_sol, label='Pressao')
plt.xlabel('eta')
#plt.ylabel('Massa')
plt.ylabel('Pressao')
plt.legend(loc=0)
class TOVSolver:
""" TOV equation solver. """
def __init__(self, tov_solver_config):
self.__config = tov_solver_config
# TODO: File name must be read from config file.
self.__eos = EoS(filename=self.__config.getEoSFileName(),
central_energy_density=self.__config.getCentralEnergy(),
verbose=False)
def evaluate(self, epsilon, pressure):
eval_epsilon = 0
eval_pressure = 0
pressure_0 = self.__eos.pressure_from_energy(1.)
# pressure_0 = 0
if epsilon > 0:
eval_pressure = self.__eos.pressure_from_energy(epsilon)
if pressure > 0:
eval_epsilon = self.__eos.energy_from_pressure(pressure)
self.output_interpolation_header(self.__config.getConfigFileName(),
self.__config.getEoSFileName(),
self.__config.getCentralEnergy(),
pressure_0 * self.__config.getCentralEnergy(),
eval_epsilon * self.__config.getCentralEnergy(),
eval_pressure * self.__config.getCentralEnergy())
def run(self):
tovEquations = TOVEquations(self.__eos)
# Initial conditions, all values dimensionless.
mass_0 = 0
energy_0 = 1
pressure_0 = float(self.__eos.pressure_from_energy(energy_0))
self.output_header(self.__config.getConfigFileName(),
self.__config.getEoSFileName(),
self.__config.getCentralEnergy(),
pressure_0 * self.__config.getCentralEnergy(),
self.__config.getTransitionPressure(),
self.__config.getCutoffDensity(),
self.__config.getRadiusScaleFactor(),
self.__config.getMassScaleFactor())
rk_parameters = RungeKuttaParameters(
first_element=self.__config.rk_inferior_lim,
last_element=self.__config.rk_superior_lim,
rk_steps=self.__config.rk_ode_steps,
derivatives=[tovEquations.delta_M_delta_eta, tovEquations.delta_P_delta_eta],
initial_conditions=[mass_0, pressure_0],
verbose=False)
# print("self.__config.getCutoffDensity() = {}".format(type(self.__config.getCutoffDensity())))
# print("self.__config.getCentralEnergy() = {}".format(type(self.__config.getCentralEnergy())))
rk4 = TOVRungeKutta(rk_parameters=rk_parameters,
central_energy=self.__config.getCentralEnergy(),
cutoff_density=self.__config.getCutoffDensity() * const.LIGHT_SPEED ** 2.,
transition_pressure=self.__config.getTransitionPressure())
rk4.run()
# TODO: this part can be improved.
results = rk4.getResult()
star_mass = results.mass * self.__config.getMassScaleFactor() / const.SUN_MASS
# The result is dimensionless. It must be converted to km.
star_radius = results.eta * self.__config.getRadiusScaleFactor() * const.LENGTH_TO_KM
radius_phase_transition_bar = results.radius_phase_transition_bar * \
self.__config.getRadiusScaleFactor() * const.LENGTH_TO_KM
quark_core_mass = results.mass_quark_core_bar * self.__config.getMassScaleFactor() / const.SUN_MASS
self.output_summary(star_mass, quark_core_mass, star_radius, 0, radius_phase_transition_bar, 0, 0, 0)
# eta = np.linspace(self.__inferior_lim, self.__superior_lim, self.__ode_steps)
#
# for solution in tov_solution:
# plt.plot(eta, solution, label='Pressure')
#
# # plot results
# print("Plotting...")
# plt.grid(True)
# plt.figure(2)
def output_header(self,
config_file_name,
eos_file_name,
epsilon_0,
pressure_0,
transition_pressure,
cutoff_density,
scale_radius,
scale_mass):
header_format = \
("#--------------------------------------------------------------------------------------------#\n"
"#-------------------------------- TOV Solver - Solver Mode --------------------------------#\n"
"#--------------------------------------------------------------------------------------------#\n"
"# PARAMETERS #\n"
"#--------------------------------------------------------------------------------------------#\n"
"# CONFIG FILE : {}\n"
"# EOS FILE : {}\n"
"# EPSILON_0 (g/cm3) : {}\n"
"# PRESSURE_0 : {}\n"
"# TRANSITION_PRESSURE : {}\n"
"# CUTOFF_DENSITY (g/cm3) : {}\n"
"# SCALE_RADIUS (cm) : {:0.05e}\n"
"# SCALE_MASS (g) : {:0.05e}")
print(header_format.format(config_file_name,
eos_file_name,
epsilon_0,
pressure_0,
transition_pressure,
cutoff_density,
scale_radius,
scale_mass))
def output_summary(self,
star_mass,
quark_core_mass,
star_radius,
baryon_number,
radius_phase_transition,
info_entropy,
diseq,
complexity):
summary_format = \
("#\n"
"#--------------------------------------------------------------------------------------------#\n"
"# SUMMARY #\n"
"#--------------------------------------------------------------------------------------------#\n"
"#\n"
"# Star Radius (km) : {}\n"
"# Quark Core Radius (km) : {}\n"
"#\n"
"# Star Mass (Solar Units) : {}\n"
"# Quark Core Mass (Solar Units) : {}\n"
"#\n"
"# Baryon Number : {}\n"
"#\n"
"# Information Entropy : {}\n"
"# Disequilibrium : {}\n"
"# Complexity : {}\n"
"#\n"
"#--------------------------------------------------------------------------------------------#\n")
print(summary_format.format(star_radius,
radius_phase_transition,
star_mass,
quark_core_mass,
baryon_number,
info_entropy,
diseq,
complexity))
def output_interpolation_header(self,
config_file_name,
eos_file_name,
epsilon_0,
pressure_0,
epsilon,
pressure):
header_format = \
("#--------------------------------------------------------------------------------------------#\n"
"#---------------------------- TOV Solver - Interpolation Mode -----------------------------#\n"
"#--------------------------------------------------------------------------------------------#\n"
"# Config File : {}\n"
"# EoS File : {}\n"
"# RHO_0 (g/cm^3) : {:10e}\n"
"# EPSILON_0 (erg/cm^3) : {:10e}\n"
"# PRESSURE_0 : {:10e}\n"
"#--------------------------------------------------------------------------------------------#\n"
"# Epsilon : {:10e}\n"
"# Epsilon (adim) : {:10e}\n"
"# Pressure : {:10e}\n"
"# Pressure (adim) : {:10e}\n"
"#--------------------------------------------------------------------------------------------#\n")
print(header_format.format(config_file_name,
eos_file_name,
epsilon_0 / const.LIGHT_SPEED ** 2.,
epsilon_0,
pressure_0,
epsilon,
epsilon / epsilon_0,
pressure,
pressure / epsilon_0))
