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RGP.py
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from ast import IsNot
from random import choice
import CoolProp
import CoolProp.CoolProp as CP
import numpy as np
import time
from numpy import meshgrid
from pandas import to_timedelta
from scipy import interpolate
import matplotlib.pyplot as plt
from scipy.interpolate import UnivariateSpline
from numpy.linalg import solve
from numpy.linalg import lstsq
from numpy import log
import matplotlib.pyplot as plt
from CoolProp.CoolProp import PropsSI
import argparse
import textwrap
import pandas as pd
#from sklearn import mixture
import os
import sys
from pathlib import Path
from scipy.io import savemat
from matplotlib import rc
plt.rcParams.update({
"text.usetex": True,
"font.family": "DejaVu Sans",
"font.sans-serif": ["Helvetica"],
"font.size": 12})
import warnings
warnings.filterwarnings("ignore")
def getUnit(prop):
return {'h': '[J/kg]',
'c': '[m/s]',
'v': '[m^3/kg]',
'cv': '[J/kg/K]',
'cp': '[J/kg/K]',
'dPdvT': '[Pa/m^3/kg]',
's': '[J/kg/K]',
'mu': '[Pa\;s]',
'k': '[W/m/K]',
'p': '[Pa]',
'T': '[K]'}[prop]
def specify_phase(AS, pi, Tj, pcrit, Tcrit):
if pi > pcrit and Tj > Tcrit:
AS.specify_phase(CP.iphase_supercritical_gas)
elif pi > pcrit and Tj < Tcrit:
AS.specify_phase(CP.iphase_supercritical_liquid)
elif pi < pcrit and Tj > Tcrit:
AS.specify_phase(CP.iphase_gas)
elif pi < pcrit and Tj < Tcrit:
AS.unspecify_phase()
return AS
def scalePlot(pr):
vmin_ = None
vmax_ = None
if pr=='mu':
vmin_=0
vmax_=0.0001
elif pr=='k':
vmin_=0
vmax_=0.25
elif pr=='c':
vmin_=0
vmax_=500
elif pr=='cv':
vmin_=0
vmax_=1500
elif pr=='cp':
vmin_=0
vmax_=4000
elif pr=='dPdvT':
vmin_=-1e12
vmax_= 0
return vmin_,vmax_
def parseBool(arg):
if arg == 'False' or arg == 0 or arg==False:
ret = False
elif arg == 'True' or arg == 1 or arg==True:
ret = True
return ret
def setREFPROP_PATH(path):
CP.set_config_string(CP.ALTERNATIVE_REFPROP_PATH, path)
def Eng(x):
return '\t' + np.format_float_scientific(x, exp_digits=3, precision=7, unique=False).upper()
def vec2str(vec):
string = ''
for i, el in enumerate(vec):
if i % 5 == 0:
string += ' \n'
string += Eng(el)
return string
def TSat2spinodal(AS, FluidName, backend, T_sat):
# Inspired: https://github.com/CoolProp/CoolProp/blob/master/doc/notebooks/Maxwell_Loop.ipynb
# Paper: https://link.springer.com/article/10.1134/S0036024406040030
FluidName
myIdx = 0
# Constants
eps = 1e-6
kilo = 1e3
Mega = 1e6
golden = (1 + 5 ** 0.5) / 2
width = 12.5
# Constants, triple and critical data
R = PropsSI('GAS_CONSTANT',FluidName)
MM = PropsSI('MOLAR_MASS',FluidName)
Rs = R/MM
T_crt = PropsSI('T_CRITICAL',FluidName)
T_trp = PropsSI('T_TRIPLE',FluidName)
p_crt = PropsSI('P_CRITICAL',FluidName)
p_trp = PropsSI('P_TRIPLE',FluidName)
p_max = PropsSI('P_MAX',FluidName)
d_crt = PropsSI('RHOMASS_CRITICAL',FluidName)
v_crt = 1/d_crt
d_trp_liq = PropsSI('D','T',T_trp,'Q',0,FluidName)
d_trp_vap = PropsSI('D','T',T_trp,'Q',1,FluidName)
# Calculation of the coefficients for the metastable region interpolation happens in this cell
nPoints = T_sat.size
# empty arrays
# vap side
delta_vap = np.empty(nPoints)
tau_vap = np.empty(nPoints)
p_vap = np.empty(nPoints)
d_vap = np.empty(nPoints)
v_vap = np.empty(nPoints)
f_vap = np.empty(nPoints)
dP_dD_T_vap = np.empty(nPoints)
d2P_dD2_T_vap = np.empty(nPoints)
d2P_dDdT_vap = np.empty(nPoints)
# liq side
delta_liq = np.empty(nPoints)
tau_liq = np.empty(nPoints)
p_liq = np.empty(nPoints)
d_liq = np.empty(nPoints)
v_liq = np.empty(nPoints)
f_liq = np.empty(nPoints)
dP_dD_T_liq = np.empty(nPoints)
d2P_dD2_T_liq = np.empty(nPoints)
d2P_dDdT_liq = np.empty(nPoints)
# metastable coeffs:
AShape = (8,8)
A = np.empty(AShape)
b = np.empty(8)
xShape = (nPoints,8)
x = np.empty(xShape)
#HEOS = CP.AbstractState(backend, FluidNameAS)
HEOS = AS
# get values from CoolProp
for idx in range(0,nPoints):
# AT the vap line
HEOS.update(CP.QT_INPUTS, 1, T_sat[idx])
delta_vap[idx] = HEOS.delta()
tau_vap[idx] = HEOS.tau()
p_vap[idx] = HEOS.p()
d_vap[idx] = HEOS.rhomass()
f_vap[idx] = Rs*T_sat[idx]*( HEOS.alpha0() + HEOS.alphar() )
dP_dD_T_vap[idx] = HEOS.first_partial_deriv(CP.iP, CP.iDmass, CP.iT)
d2P_dD2_T_vap[idx] = HEOS.second_partial_deriv(CP.iP, CP.iDmass, CP.iT, CP.iDmass, CP.iT)
d2P_dDdT_vap[idx] = HEOS.second_partial_deriv(CP.iP, CP.iDmass, CP.iT, CP.iT, CP.iDmass)
# AT the liq line
HEOS.update(CP.QT_INPUTS, 0, T_sat[idx])
delta_liq[idx] = HEOS.delta()
tau_liq[idx] = HEOS.tau()
p_liq[idx] = HEOS.p()
d_liq[idx] = HEOS.rhomass()
f_liq[idx] = Rs*T_sat[idx]*( HEOS.alpha0() + HEOS.alphar() )
# f_liq[idx] = HEOS.umass() - T_sat[idx]*HEOS.smass()
dP_dD_T_liq[idx] = HEOS.first_partial_deriv(CP.iP, CP.iDmass, CP.iT)
d2P_dD2_T_liq[idx] = HEOS.second_partial_deriv(CP.iP, CP.iDmass, CP.iT, CP.iDmass, CP.iT)
d2P_dDdT_liq[idx] = HEOS.second_partial_deriv(CP.iP, CP.iDmass, CP.iT, CP.iT, CP.iDmass)
# calculate metastable coeffs by solving Ax=b
A = np.array([ [1/tau_vap[idx], -1/delta_vap[idx]/tau_vap[idx], log(delta_vap[idx]), delta_vap[idx], delta_vap[idx]**2/2, delta_vap[idx]**3/3, delta_vap[idx]**4/4, delta_vap[idx]**5/5 ],
[1/tau_liq[idx], -1/delta_liq[idx]/tau_liq[idx], log(delta_liq[idx]), delta_liq[idx], delta_liq[idx]**2/2, delta_liq[idx]**3/3, delta_liq[idx]**4/4, delta_liq[idx]**5/5 ],
[ 0, d_crt/tau_vap[idx], d_crt*delta_vap[idx], d_crt*delta_vap[idx]**2, d_crt*delta_vap[idx]**3, d_crt*delta_vap[idx]**4, d_crt*delta_vap[idx]**5, d_crt*delta_vap[idx]**6 ],
[ 0, d_crt/tau_liq[idx], d_crt*delta_liq[idx], d_crt*delta_liq[idx]**2, d_crt*delta_liq[idx]**3, d_crt*delta_liq[idx]**4, d_crt*delta_liq[idx]**5, d_crt*delta_liq[idx]**6 ],
[ 0, 0, 1, 2*delta_vap[idx], 3*delta_vap[idx]**2, 4*delta_vap[idx]**3, 5*delta_vap[idx]**4, 6*delta_vap[idx]**5 ],
[ 0, 0, 1, 2*delta_liq[idx], 3*delta_liq[idx]**2, 4*delta_liq[idx]**3, 5*delta_liq[idx]**4, 6*delta_liq[idx]**5 ],
[ 0, 0, 0, 2/d_crt, 6*delta_vap[idx]/d_crt, 12*delta_vap[idx]**2/d_crt, 20*delta_vap[idx]**3/d_crt, 30*delta_vap[idx]**4/d_crt ],
[ 0, 0, 0, 2/d_crt, 6*delta_liq[idx]/d_crt, 12*delta_liq[idx]**2/d_crt, 20*delta_liq[idx]**3/d_crt, 30*delta_liq[idx]**4/d_crt ]])
A = Rs*T_crt*A
b = np.array([f_vap[idx], f_liq[idx], p_vap[idx], p_liq[idx], dP_dD_T_vap[idx], dP_dD_T_liq[idx], d2P_dD2_T_vap[idx], d2P_dD2_T_liq[idx]])
x[idx] = solve(A,b)
pms = np.ones(nPoints)
N=nPoints-1
myIdxs = np.linspace(0,N-1,N)
Tspin = np.zeros_like(myIdxs)
pspin_liq = np.zeros_like(myIdxs)
pspin_vap = np.zeros_like(myIdxs)
rhorspin_liq = np.zeros_like(myIdxs)
rhorspin_vap = np.zeros_like(myIdxs)
for i,myIdx in enumerate(myIdxs):
myIdx = int(myIdx)
T_iso = T_sat[myIdx]
tau_iso = T_crt/T_iso
c = x[myIdx,:]
d_min = 0.8*d_vap[myIdx]
# verificar se válido !
#d_max = PropsSI('D','T',T_iso,'P',p_max,FluidName)
d_max = d_trp_liq
rhos = np.linspace(d_min, d_max, num=nPoints)
deltas = rhos/d_crt
for idx in range(0,nPoints):
# stable
pms[idx] = Rs*T_crt*d_crt*( 0 +c[1]/tau_iso +c[2]*deltas[idx] +c[3]*deltas[idx]**2 +c[4]*deltas[idx]**3 +c[5]*deltas[idx]**4 +c[6]*deltas[idx]**5 +c[7]*deltas[idx]**6 )
dpdrho_T = np.gradient(pms)/np.gradient(rhos)
inflection = np.where( ((np.diff(np.sign(dpdrho_T)) != 0)*1) == 1 )[0]
Tspin[i] = T_iso
pspin_liq[i] = pms[inflection[0]]
pspin_vap[i] = pms[inflection[1]]
rhorspin_liq[i] = (rhos/d_crt)[inflection[0]]
rhorspin_vap[i] = (rhos/d_crt)[inflection[1]]
return Tspin, pspin_liq, pspin_vap
class AbstractState(CP.AbstractState):
def __init__(self, *args, **kwargs):
self.initPrint()
self.fluidname = kwargs['fluid']
self.backend = kwargs['backend']
super().__init__()
def initPrint(self):
pass
def updateTP(self, T, p):
self.update(CP.PT_INPUTS, p, T)
def updateQT(self, Q, T):
self.update(CP.QT_INPUTS, Q, T)
def updatePQ(self, p, Q):
self.update(CP.PQ_INPUTS, p, Q)
def p_triple(self):
abs = CP.AbstractState('HEOS', self.fluidname)
abs.set_mass_fractions(self.get_mass_fractions())
return abs.trivial_keyed_output(CP.iP_triple)
def getProp(self, prop):
try:
if prop == 'T':
return self.T()
if prop == 'p':
return self.p()
if prop == 'h':
return self.hmass()
if prop == 'c':
return self.speed_sound()
if prop == 'v':
return 1/self.rhomass()
if prop == 'cv':
return self.cvmass()
if prop == 'cp':
return self.cpmass()
if prop == 'dPdvT':
return -self.rhomass()**2*self.first_partial_deriv(CP.iP, CP.iDmass, CP.iT)
if prop == 's':
return self.smass()
if prop == 'k':
return self.conductivity()
if prop == 'mu':
return self.viscosity()
except:
return 0
def coolpropname(self, decimalplaces=False):
fluidname = self.fluid_names()
if len(fluidname) > 1:
molef = self.get_mole_fractions()
fluid = ''
for f,m in zip(fluidname,molef):
if decimalplaces==1:
fluid = fluid + f + '[' + '{:.1f}'.format(m) + ']&'
elif decimalplaces==2:
fluid = fluid + f + '[' + '{:.2f}'.format(m) + ']&'
elif decimalplaces==3:
fluid = fluid + f + '[' + '{:.3f}'.format(m) + ']&'
elif decimalplaces==4:
fluid = fluid + f + '[' + '{:.4f}'.format(m) + ']&'
elif decimalplaces==5:
fluid = fluid + f + '[' + '{:.5f}'.format(m) + ']&'
elif decimalplaces==6:
fluid = fluid + f + '[' + '{:.6f}'.format(m) + ']&'
elif decimalplaces==7:
fluid = fluid + f + '[' + '{:.7f}'.format(m) + ']&'
elif decimalplaces==8:
fluid = fluid + f + '[' + '{:.8f}'.format(m) + ']&'
else:
fluid = fluid + f + '[' + str(m) + ']&'
fluid = fluid[:-1]
else:
fluid = fluidname[0]
return fluid
class RGP:
# Classe de abstração para uma tabela de propriedades de gas real (RGP)
def __init__(self):
pass
def setInterpKind(self, kind):
self.interpKind = kind
def setPath(self, op):
self.op = op
os.makedirs(self.op, exist_ok=True)
def openFile(self):
self.o = open(self.fname.split('.rgp')[0] +'.out', "w")
def print(self, *args,**kwargs):
try:
end = kwargs['end']
except:
end = '\n'
self.o.write(args[0] + end)
print(*args,**kwargs)
def genRGP(self, args):
# Parsing dos argumentos
fluid = args['fluid']
if len(args['massfractions']) > 0:
massf = [float(mi) for mi in args['massfractions'].split(",")]
else:
massf= []
backend = args['backend']
if backend == 'REFPROP':
setREFPROP_PATH(path=args['refprop_path'])
p = [float(pi) for pi in args['pressures'].split(",")]
T = [float(pi) for pi in args['temperatures'].split(",")]
if args['sat_table_range'] is not None:
Tsat = [float(pi) for pi in args['sat_table_range'].split(",")]
else:
Tsat = None
NT = int(args['n_temperatures'])
Np = int(args['n_pressures'])
Ns = int(args['n_saturation'])
model = int(args['model'])
fname = args['output_file']
meta = parseBool(args['metastable'])
sat = parseBool(args['sat_table'])
clip = parseBool(args['clipping'])
spin = parseBool(args['spinodal'])
sat_phase =args['sat_phase']
op =args['output_path']
kind = args['interpolationKind']
# Gera o RGP com base nos argumentos
AS = AbstractState(backend=backend, fluid=fluid)
if len(massf) > 0:
AS.set_mass_fractions(massf)
self.setPath(op)
self.setFname(fname)
a = 'python'
for ai in sys.argv:
a += ' ' + ai
self.print(a)
self.setFluid(AS)
self.setModel(model)
self.setUnits(1)
self.setInterpKind(kind)
self.setT(Tmin=T[0], Tmax=T[1])
if Tsat is not None:
self.setTsat(Tminsat=Tsat[0], Tmaxsat=Tsat[1])
self.setp(pmin=p[0], pmax=p[1])
self.setDomain(NT=NT, Np=Np)
self.setNs(Ns=Ns)
self.setMetastable(meta)
self.setSpinodal(spin)
self.setSatTable(sat)
self.setClipping(clip)
self.setSatPhase(sat_phase)
self.genSuperTables()
self.genSatTable()
self.genMetaTables()
self.writeHeader()
self.writeData()
self.writeSuperTables()
self.writeSuperTablesMatrices()
self.writeSatTable()
self.writeSatTableMatrices()
self.closeFile()
self.etime()
pformat = args['plotFormat']
if args['plotTS'] is not None:
self.plotTs(args['plotTS'], isobars=10, save=True, format=pformat)
if args['plotPH'] is not None:
self.plotPH(args['plotPH'], isothermals=10, save=True, format=pformat)
if args['plotPT'] is not None:
self.plotPT(args['plotPT'], save=True, format=pformat)
show = parseBool(args['plotShow'])
if show:
plt.show()
self.print('END')
return self
def setFluid(self, AS):
self.fluid = AS
#self.name = '&'.join(self.fluid.fluid_names())
self.name = self.fluid.fluidname
self.coolpropname = self.fluid.coolpropname()
be = self.fluid.backend_name()
if be == 'REFPROPBackend':
be += ' ' + CP.get_global_param_string("REFPROP_version")
self.description = self.coolpropname + \
' [' + be + ', CoolProp ' + CoolProp.__version__ + ']'
self.index = self.name
self.pcrit = self.fluid.p_critical()
self.Tcrit = self.fluid.T_critical()
self.Ttrip = self.fluid.Ttriple()
self.ptrip = self.fluid.p_triple()
self.R = self.fluid.gas_constant()/self.fluid.molar_mass()
self.table = {}
self.properties = ['h', 'c', 'v', 'cv', 'cp', 'dPdvT', 's', 'mu', 'k']
self.print('RGP table for fluid: ')
self.print(self.description)
self.stime = time.time()
self.interpMeta = 'p'
self.mixture = False
if len(self.fluid.fluid_names()) > 1:
self.mixture = True
def closeFile(self):
self.close(self.f)
def setFname(self, fn):
self.fname = self.op+fn
self.f = open(self.fname, 'w')
self.openFile()
def setClipping(self, val):
self.clipping = val
def setSatTable(self, val):
self.sat_table = val
def setSatPhase(self, val):
self.sat_phase = val
def setMetastable(self, val):
self.metastable = val
def setSpinodal(self, val):
self.spinodal = val
def setT(self, Tmin, Tmax):
self.Tmin = Tmin
self.Tmax = Tmax
self.Tminsat = max(self.Ttrip, Tmin)
self.Tmaxsat = min(self.Tcrit, Tmax)
self.print(f'T: [{self.Tmin}: {self.Tmax}] K')
def setTsat(self, Tminsat, Tmaxsat):
self.Tminsat = Tminsat
self.Tmaxsat = Tmaxsat
def setp(self, pmin, pmax):
self.pmin = pmin
self.pmax = pmax
self.print(f'p: [{self.pmin/1e3}: {self.pmax/1e3}] kPa')
def alocSuperTables(self):
# Alocando tabelas
self.print('Allocating Super tables... ', end='\t')
stime = time.time()
for prop in self.properties:
self.table[prop] = np.zeros((self.Np, self.NT))
self.table[prop+'sat'] = np.zeros(self.Np)
self.table['Tsat'] = np.zeros(self.Np)
self.table['psat'] = np.zeros(self.Np)
etime = time.time() - stime
self.print('{:.4f}'.format(etime) + ' sec')
def alocSatTable(self):
self.print('Allocating Sat Table... ', end='\t')
stime = time.time()
for prop in ['T', 'p'] + self.properties:
self.table[prop+'satliq'] = np.zeros(self.Ns)
self.table[prop+'satvap'] = np.zeros(self.Ns)
etime = time.time() - stime
self.print('{:.4f}'.format(etime) + ' sec')
def alocMetaTable(self):
self.print('Allocating Metastable Table... ', end='\t')
stime = time.time()
for prop in ['T', 'p'] + self.properties:
self.table[prop+'spinliq'] = np.zeros(self.Ns)
self.table[prop+'spinvap'] = np.zeros(self.Ns)
self.table[prop+'spin'] = np.zeros(self.Np)
if prop not in ['T','p']:
self.table[prop+'meta'] = self.table[prop]
#self.table['Tspin'] = np.zeros(self.Np)
#self.table['pspin'] = np.zeros(self.Np)
etime = time.time() - stime
self.print('{:.4f}'.format(etime) + ' sec')
def genSuperTables(self):
self.alocSuperTables()
self.print('Generating Super Tables... ', end='\n')
stime = time.time()
if self.mixture:
eps = 10
Ttrip = self.Ttrip
Tcrit = self.Tcrit
pcrit = self.pcrit
T_sat = np.linspace(Ttrip+eps, Tcrit-eps, self.Ns)
p_liq = np.empty(T_sat.size)
p_vap = np.empty(T_sat.size)
for idx, T in enumerate(T_sat):
self.fluid.update(CP.QT_INPUTS, 1, T_sat[idx])
p_vap[idx] = self.fluid.p()
self.fluid.update(CP.QT_INPUTS, 0, T_sat[idx])
p_liq[idx] = self.fluid.p()
self.p_spl_liq = UnivariateSpline(np.hstack((T_sat, Tcrit)),
np.hstack((p_liq, pcrit)),k=3,s=0)
self.p_spl_vap = UnivariateSpline(np.hstack((T_sat, Tcrit)),
np.hstack((p_vap, pcrit)),k=3,s=0)
self.T_spl_liq = UnivariateSpline(np.hstack((p_liq, pcrit)),
np.hstack((T_sat, Tcrit)),k=3,s=0)
self.T_spl_vap = UnivariateSpline(np.hstack((p_vap, pcrit)),
np.hstack((T_sat, Tcrit)),k=3,s=0)
self.p_sat_liq = np.linspace(self.p_spl_liq(self.Tmin),
self.p_spl_liq(self.Tcrit), self.Ns)
self.p_sat_vap = np.linspace(self.p_spl_vap(self.Tmin),
self.p_spl_vap(self.Tcrit), self.Ns)
if self.sat_phase == 'liquid':
Q = 0
self.pmin = self.p_spl_liq(self.Tmin)
self.table['p'] = np.linspace(self.pmin, self.pmax, self.Np)
elif self.sat_phase == 'gas':
Q = 1
print(len(self.table['p']),len(self.table['T']))
for j, p in enumerate(self.table['p']):
for i, T in enumerate(self.table['T']):
print(j,i,end="\r")
# Controla se corrige o erro de pressão muito proximo a saturação
fix = False
if self.fluid.backend!='REFPROP':
fix = True
# if clipping
if p < self.pcrit and T < self.Tcrit and self.clipping:
self.fluid.updatePQ(p,Q)
Tsat = self.fluid.getProp('T')
if T > Tsat:
self.fluid = specify_phase(self.fluid , p, T, self.pcrit, self.Tcrit)
self.fluid.updateTP(T, p)
# if fix
elif fix:
try:
self.fluid = specify_phase(self.fluid , p, T, self.pcrit, self.Tcrit)
self.fluid.updateTP(T, p)
except:
self.fluid.updateQT(1, T)
psat = self.fluid.getProp('p')
if abs(p - psat)/psat <= 1e-6:
if p > psat:
self.fluid.updateQT(0, T)
# except
else:
self.fluid = specify_phase(self.fluid , p, T, self.pcrit, self.Tcrit)
try:
self.fluid.updateTP(T, p)
except:
pass
for prop in self.properties:
self.table[prop][j, i] = self.fluid.getProp(prop)
#acho que está invertido...
#self.table[prop][i, j] = self.fluid.getProp(prop)
#if p < self.pcrit: # and T < self.pcrit:
# self.fluid.updatePQ(p, 1)
#else:
# self.fluid.updateTP(self.Tcrit, p)
if self.mixture:
if p < self.pcrit:
if Q == 0:
# precisa de correção ajustar intervalo da tabela para conter a curva de saturação do vapor
Tsat = self.T_spl_liq(p)
elif Q == 1:
Tsat = self.T_spl_vap(p)
self.fluid = specify_phase(self.fluid , p, Tsat, self.pcrit, self.Tcrit)
self.fluid.updateTP(Tsat, p)
else:
self.fluid.updateTP(self.Tcrit, p)
for prop in ['T', 'p'] + self.properties:
self.table[prop+'sat'][j] = self.fluid.getProp(prop)
else:
try:
if p < self.pcrit:
self.fluid.updatePQ(p, Q)
except:
self.fluid = specify_phase(self.fluid , p, T, self.pcrit, self.Tcrit)
self.fluid.updateTP(self.Tcrit, p)
for prop in ['T', 'p'] + self.properties:
self.table[prop+'sat'][j] = self.fluid.getProp(prop)
self.fluid.unspecify_phase()
etime = time.time() - stime
self.print('{:.4f}'.format(etime) + ' sec')
def genMetaTables(self):
if self.metastable or self.spinodal or self.mixture:
self.alocMetaTable()
self.print('Generating Metastable Table... ', end='\t')
stime = time.time()
if self.mixture:
pspin_liq = self.table['psatliq']
Tspin = self.table['Tsatliq']
else:
# curva Spinodal valores discretos
Tsat = self.table['Tsatliq']
fluid = self.fluid.coolpropname()
Tspin, pspin_liq, pspin_vap = TSat2spinodal(self.fluid, fluid, self.fluid.backend, Tsat[1:-1])
# adiciona o ponto critico aos vetores
Tspin = np.append(Tspin, self.Tcrit)
pspin_liq = np.append(pspin_liq, self.pcrit)
pspin_vap = np.append(pspin_vap, self.pcrit)
# remove valores de temperatura abaixo do intervalo da tabela
idxs = np.where(Tspin > self.Tmin)
Tspin = Tspin[idxs]
pspin_liq = pspin_liq[idxs]
pspin_vap = pspin_vap[idxs]
# cria função para a tempertura na spinodal
T_spin = interpolate.UnivariateSpline(pspin_liq, Tspin)
p_spin = interpolate.UnivariateSpline(Tspin, pspin_liq)
f_spin_p = {}
f_spin_T = {}
f_sat_T = {}
for prop in self.properties:
y = np.zeros_like(pspin_liq[:])
for i, (p,T) in enumerate(zip(pspin_liq[:], Tspin[:] )):
try:
self.fluid = specify_phase(self.fluid , p, T, self.pcrit, self.Tcrit)
self.fluid.updateTP(T,p)
y[i] = self.fluid.getProp(prop)
self.fluid.unspecify_phase()
except:
y[i] = np.nan
idx = np.where(np.isnan(y))
pspin_liq = np.delete(pspin_liq,idx)
y = np.delete(y,idx)
Tspin = np.delete(Tspin,idx)
f_spin_p[prop] = interpolate.UnivariateSpline(pspin_liq, y)# , bounds_error=False, fill_value=(y[0],y[-1]), kind='cubic')
f_spin_T[prop] = interpolate.UnivariateSpline(Tspin, y)# , bounds_error=False, fill_value=(y[0],y[-1]), kind='cubic')
# Gera spinodal no intervalo da tabela
for j, p in enumerate(self.table['p']):
if p < self.pcrit:
Ts = T_spin(p)
else:
Ts = self.Tcrit
self.table['Tspin'][j] = Ts
self.table['pspin'][j] = p
#self.fluid.updateTP(Ts,p)
for prop in self.properties:
if p >= self.pcrit:
self.fluid = specify_phase(self.fluid , p, T, self.pcrit, self.Tcrit)
self.fluid.updateTP(Ts, p)
self.table[prop+'spin'][j] = self.fluid.getProp(prop)
else:
self.table[prop+'spin'][j] = f_spin_p[prop](p)
self.fluid.unspecify_phase()
# interpola na região de metaestabilidade
if self.interpMeta=='p'and self.metastable:
for j, p in enumerate(self.table['p']):
if p <= self.pcrit:
for i, T in enumerate(self.table['T']):
if T <= self.Tcrit:
for prop in self.properties:
pspin = p_spin(T)
self.fluid.updateQT(1,T)
psat = self.fluid.getProp('p')
prop_sat = self.fluid.getProp(prop)
prop_spin = f_spin_p[prop](pspin)
if p < pspin*1.01 \
and p > psat*0.99:
jlow = np.where(self.table['p'] < psat)
plow = self.table['p'][jlow]
jup = np.where(self.table['p'] > pspin)
pup = self.table['p'][jup]
proplow = self.table[prop][jlow,i][0]
propup = self.table[prop][jup,i][0]
Np = 5
if len(plow) < Np:
dp = abs(self.table['p'][1]-self.table['p'][0])
plow = np.linspace(psat*.99-dp*Np,psat*.99, 10)
proplow = np.zeros_like(plow)
for k, pl in enumerate(plow):
self.fluid = specify_phase(self.fluid , pl, T, self.pcrit, self.Tcrit)
self.fluid.updateTP(T, pl)
proplow[k] = self.fluid.getProp(prop)
if self.mixture:
idx=1
x=np.hstack([plow[:-idx],
pup[idx:]])
y=np.hstack([proplow[:-idx],
propup[idx:]])
else:
x=np.hstack([plow, pup])
y=np.hstack([proplow, propup])
f = interpolate.interp1d(x, y, bounds_error=False, fill_value=(y[0],y[-1]), kind=self.interpKind)
# dpdvT ?
self.table[prop+'meta'][j, i] = f(p)
self.fluid.unspecify_phase()
elif self.interpMeta=='T' and self.metastable:
for i, T in enumerate(self.table['T']):
if T <= self.Tcrit:
for j, p in enumerate(self.table['p']):
if p <= self.pcrit:
for prop in self.properties:
Tspin = T_spin(p)
self.fluid.updatePQ(p,1)
Tsat = self.fluid.getProp('T')
if T > Tspin*1.01 \
and T < Tsat*1.01:
prop_sat = self.fluid.getProp(prop)
prop_spin = f_spin_T[prop](T)
x=[Tspin, Tsat]
y=[prop_spin, prop_sat]
f = interpolate.interp1d(x, y, bounds_error=False, fill_value=(y[0],y[-1]))
self.table[prop+'meta'][j, i] = f(T)
for j, p in enumerate(self.table['psatliq']):
Ts = T_spin(p)
self.table['pspinliq'][j] = p
self.table['Tspinliq'][j] = Ts
for prop in self.properties:
self.table[prop+'spinliq'][j] = f_spin_p[prop](p)
etime = time.time() - stime
self.print('{:.4f}'.format(etime) + ' sec')
def genSatTable(self):
#self.fluid.unspecify_phase()
self.alocSatTable()
self.print('Generating Sat Table... ', end='\t')
stime = time.time()
if self.mixture:
self.fluid.specify_phase(CP.iphase_liquid)
self.table['psatliq'] = self.p_sat_liq
for j, p in enumerate(self.table['psatliq']):
self.fluid.updateTP(self.T_spl_liq(p), p)
for prop in ['T']+self.properties:
self.table[prop+'satliq'][j] = self.fluid.getProp(prop)
self.fluid.specify_phase(CP.iphase_gas)
self.table['psatvap'] = self.p_sat_vap
for j, p in enumerate(self.table['psatvap']):
self.fluid.updateTP(self.T_spl_vap(p), p)
for prop in ['T']+self.properties:
self.table[prop+'satvap'][j] = self.fluid.getProp(prop)
else:
# Liquido
self.fluid.specify_phase(CP.iphase_liquid)
self.fluid.updateQT(0, self.Tminsat)
pminsatliq = self.fluid.p()
self.fluid.updateQT(0, self.Tmaxsat)
pmaxsatliq = self.pcrit
if 1 or abs(self.fluid.p() - self.pcrit) < 1e-6:
self.Tmaxsat = self.Tcrit
pmaxsatliq = self.fluid.p()
self.table['psatliq'] = np.linspace(pminsatliq, pmaxsatliq, self.Ns)
for j, p in enumerate(self.table['psatliq']):
self.fluid.updatePQ(p, 0)
for prop in ['T']+self.properties:
self.table[prop+'satliq'][j] = self.fluid.getProp(prop)
# Vapor
self.fluid.specify_phase(CP.iphase_gas)
self.fluid.updateQT(1, self.Tminsat)
pminsatvap = self.fluid.p()
self.fluid.updateQT(1, self.Tmaxsat)
pmaxsatvap = self.pcrit
if 1 or abs(self.fluid.p() - self.pcrit) < 1e-6:
self.Tmaxsat = self.Tcrit
pmaxsatvap = self.fluid.p()
self.table['psatvap'] = np.linspace(pminsatvap, pmaxsatvap, self.Ns)
for j, p in enumerate(self.table['psatvap']):
self.fluid.updatePQ(p, 1)
for prop in ['T']+self.properties:
self.table[prop+'satvap'][j] = self.fluid.getProp(prop)
self.fluid.unspecify_phase()
etime = time.time() - stime
self.print('{:.4f}'.format(etime) + ' sec')
def genTables(self, NT, Np):
self.genSuperTables()
self.genSatTable()
def setDomain(self, NT, Np):
self.print(f'RGP Size: (NT={NT}, Np={Np})')
self.NT = NT
self.Np = Np
# Domínio linearmente espaçado
self.table['p'] = np.linspace(self.pmin, self.pmax, self.Np)
self.table['T'] = np.linspace(self.Tmin, self.Tmax, self.NT)
def writeSatTable(self):
f = self.f
if self.sat_table:
self.print('Writing Sat Table... ', end='\t\t')
stime = time.time()
f.write('$$SAT_TABLE \n')
f.write('\t'+str(self.Np) + '\t4\t9')
for i, t in enumerate(['p', 'T']):
if self.spinodal:
f.write(vec2str(self.table[t+'spinliq'].flatten()))
else:
f.write(vec2str(self.table[t+'satliq'].flatten()))
for i, t in enumerate(['p', 'T']):
f.write(vec2str(self.table[t+'satvap'].flatten()))
for i, t in enumerate(self.properties):
if self.spinodal:
f.write(vec2str(self.table[t+'spinliq'].flatten()))
else:
f.write(vec2str(self.table[t+'satliq'].flatten()))
f.write(vec2str(self.table[t+'satvap'].flatten()))
etime = time.time() - stime
self.print('{:.4f}'.format(etime) + ' sec')
def writeSatTableMatrices(self):
if self.sat_table:
dict_mat = {}
self.print('Writing Sat Table Matrices... ', end='\t\t')
stime = time.time()
for i, t in enumerate(['p', 'T']):
if self.spinodal:
dict_mat[t+'spinliq'] = self.table[t+'spinliq']
else:
dict_mat[t+'satliq'] = self.table[t+'satliq']
for i, t in enumerate(['p', 'T']):
dict_mat[t+'satvap'] = self.table[t+'satvap']
for i, t in enumerate(self.properties):
if self.spinodal:
dict_mat[t+'spinliq'] = self.table[t+'spinliq']
else:
dict_mat[t+'satliq'] = self.table[t+'satliq']
dict_mat[t+'satvap']=self.table[t+'satvap']
fname = Path(self.fname).resolve().with_suffix('').__str__()
fname += '_sat.mat'
savemat(file_name=fname,
mdict=dict_mat,
appendmat=False,
format='5',
long_field_names=False,
do_compression=False,
oned_as='row')
etime = time.time() - stime
self.print('{:.4f}'.format(etime) + ' sec')
def writeSuperTables(self):
f = self.f
self.print('Writing Super Tables... ', end='\t')
stime = time.time()
print(len(self.properties))
for i, t in enumerate(self.properties):
print(i,end="\r")
f.write('$TABLE_'+str(i+1)+' \n')
f.write('\t'+ str(self.NT) + '\t' + str(self.Np))