def _tc(self, rho, T, fase):
"""Custom method for critical enhancement"""
Tr = T / 304.1282
rhor = rho / 467.6
nc = 0.775547504
# Table 4
a = [
0, 3, 6.70697, 0.94604, 0.3, 0.3, 0.39751, 0.33791, 0.77963,
0.79857, 0.9, 0.02, 0.2
]
# Eq 6
alfa = 1 - a[10] * arccosh(1 + a[11] * ((1 - Tr)**2)**a[12])
# Eq 5
num = rhor * exp(-rhor**a[1] / a[1] - (a[2] * (Tr - 1))**2 -
(a[3] * (rhor - 1))**2)
den1 = pow(
pow(1 - 1 / Tr + a[4] * pow(pow(rhor - 1, 2), 0.5 / a[5]), 2),
a[6])
den2 = pow(pow(a[7] * (rhor - alfa), 2), a[8])
lc = num / (den1 + den2)**a[9]
return lc * nc * 4.81384e-3
def Rz_to_uv(R,z,delta=1.):
"""
NAME:
Rz_to_uv
PURPOSE:
calculate prolate confocal u and v coordinates from R,z, and delta
INPUT:
R - radius
z - height
delta= focus
OUTPUT:
(u,v)
HISTORY:
2012-11-27 - Written - Bovy (IAS)
"""
coshu, cosv= Rz_to_coshucosv(R,z,delta)
u= sc.arccosh(coshu)
v= sc.arccos(cosv)
return (u,v)
def get_bulk_Delta(omega_D, Delta_0, T0, initial_guess=None):
oomega_D = omega_D
Delta_0 *= 1000/omega_D
T0 *= 1000/omega_D
omega_D = 1000
T0 += 1e-15
if not initial_guess:
initial_guess = Delta_0
c = 1/S.arccosh(omega_D / Delta_0)
def func(z):
Delta = z[0]
def integrand(E):
return Delta*S.tanh(.5*E/T0) / S.sqrt(E**2 - Delta**2 + 1e-9)
r = S.integrate.quad(integrand, Delta, omega_D,
epsrel=1e-5, epsabs=1e-5*Delta/c + 1e-8)
x = r[0] - Delta/c
if abs(x) < 1e-40: return 0
return x
z = S.optimize.fsolve(func, initial_guess, xtol=1e-4) * oomega_D/1000
return abs(z)
def _tc(self, rho, T, fase):
"""Custom method for critical enhancement"""
Tr = T/304.1282
rhor = rho/467.6
nc = 0.775547504
# Table 4
a = [0, 3, 6.70697, 0.94604, 0.3, 0.3, 0.39751, 0.33791, 0.77963,
0.79857, 0.9, 0.02, 0.2]
# Eq 6
alfa = 1-a[10]*arccosh(1+a[11]*((1-Tr)**2)**a[12])
# Eq 5
num = rhor*exp(-rhor**a[1]/a[1]-(a[2]*(Tr-1))**2-(a[3]*(rhor-1))**2)
den1 = pow(pow(1-1/Tr+a[4]*pow(pow(rhor-1, 2), 0.5/a[5]), 2), a[6])
den2 = pow(pow(a[7]*(rhor-alfa), 2), a[8])
lc = num / (den1+den2)**a[9]
return lc*nc*4.81384e-3
"""
import os
from pyclaw import data
import numpy as np
from numpy import pi, tan, sin
from scipy import sinh, cosh, tanh, arccosh
# Set initial depth:
#d = 0.061 ## now in setrun
# These don't change:
theta = 15. * pi / 180.
epsilon = 0.717
C = arccosh(1. / epsilon)
b = 0.395
w = 0.680
Tprime = 0.082 + 0.004
kb = 2 * C / b
kw = 2 * C / w
x0 = d / tan(theta) + Tprime / sin(theta)
#------------------------------
def setrun(claw_pkg='geoclaw', d_param=None):
#------------------------------
"""
Define the parameters used for running Clawpack.
INPUT:
# Thermal properties of soil
k = 1.1 #W/mK
rho = 1750 # kg/m3
cp = 1380 # J/kgK
# Boundary conditions
h_air = 10 # Average convective heat transfer coefficient W/m2K
h_rad_sky = 4 * 5.67e-8 * 40**3 # Average radiation heat transfer coefficient
# U-value of energy pile
r1 = 0.028
r2 = r0
l = 0.3
k_conc = 1 # W/mK
S = 2 * sp.pi * H / sp.arccosh((r1**2 + r2**2 - l**2) / (2 * r1 * r2))
#U_ep = k_conc*S/(2*sp.pi*r0*H) # U-value of energy pile
U_ep = 3
print("Shape factor:", S, "U_ep:", U_ep)
# Temperatures
T_ep = -6 + 4 / 3 # Fluid temperature C
T0 = 5 # Initial temperature of soil
# Heating days per one year (days 0-364)
heating_starts = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 31 # September 1st
heating_ends = 31 + 28 + 31 + 29 # 30th April
# Printing of iteration rounds
# 0 for no printing/plotting
print_gap = 10 # You can variate this
def H(L, D): return abs((1/15.0)*sc.arccosh(-sc.tan(sc.radians(L)) * sc.tan(sc.radians(23.44)*sc.sin(sc.radians(((D+284)*360)/365.0)))))
#-*- coding: utf-8 -*-
import scipy as sc #enthält bereits math und numpy
from matplotlib import pyplot as plt
def H(L, D):
return abs((1/15.0)*sc.arccosh(-sc.tan(sc.radians(L)) * sc.tan(sc.radians(23.44)*sc.sin(sc.radians(((D+284)*360)/365.0)))))
D = 105
L = -40
#print "Sunrise: " + str(H(L, D))
print str(-sc.arccosh(L*(sc.pi/180)) * sc.tan(23.44*(sc.pi/180)*sc.sin((((D+284)*360)/365.0)*(sc.pi/180))))
"""
x2 = sc.linspace(-2., 12., 1000)
plt.plot(x2, (sc.log((x2**2)+5)*sc.cos(0.8*x2)+(3.5*x2))/(sc.e**(x2/10)), 'r')
plt.ylabel('f($x$)')
plt.xlabel('$x$')
plt.grid()
plt.text(5, -5, r'$f(x) = \frac{\ln(x^2+5) \cos(0.8x)+3.5x}{e^{\frac{x}{10}}}$', fontsize=20)
plt.fill_between(x2,(sc.log((x2**2)+5)*sc.cos(0.8*x2)+(3.5*x2))/(sc.e**(x2/10)), 0, color='blue', alpha = 0.2)
plt.show()
"""
"""
import os
from pyclaw import data
import numpy as np
from numpy import pi,tan,sin
from scipy import sinh,cosh,tanh,arccosh
# Set initial depth:
#d = 0.061 ## now in setrun
# These don't change:
theta = 15. * pi / 180.
epsilon = 0.717
C = arccosh(1. / epsilon)
b = 0.395
w = 0.680
Tprime = 0.082 + 0.004
kb = 2*C / b
kw = 2*C / w
x0 = d/tan(theta) + Tprime/sin(theta)
#------------------------------
def setrun(claw_pkg='geoclaw', d_param = None):
#------------------------------
"""
Define the parameters used for running Clawpack.