T33 = datain["T_33"]
## Enthalpy ##
w = rho + datain["u_internal"] + ((5.0 / 3.0) - 1) * datain["u_internal"] + datain["bsq"]
## Velocities ##
u_radial = datain["u_1"] / datain["u_t"]
u_theta = datain["u_2"] / datain["u_t"]
u_phi = datain["u_3"] / datain["u_t"]
####### Forces ########
## Gravitational force ##
F_metric_radial = (1.0 / w) * (
T00 * ch(r, theta, a, 0, 1, 0)
+ T01 * ch(r, theta, a, 1, 1, 0)
+ T02 * ch(r, theta, a, 2, 1, 0)
+ T03 * ch(r, theta, a, 3, 1, 0)
+ T10 * ch(r, theta, a, 0, 1, 1)
+ T11 * ch(r, theta, a, 1, 1, 1)
+ T12 * ch(r, theta, a, 2, 1, 1)
+ T13 * ch(r, theta, a, 3, 1, 1)
+ T20 * ch(r, theta, a, 0, 1, 2)
+ T21 * ch(r, theta, a, 1, 1, 2)
+ T22 * ch(r, theta, a, 2, 1, 2)
+ T23 * ch(r, theta, a, 3, 1, 2)
+ T30 * ch(r, theta, a, 0, 1, 3)
+ T31 * ch(r, theta, a, 1, 1, 3)
+ T32 * ch(r, theta, a, 2, 1, 3)
+ T33 * ch(r, theta, a, 3, 1, 3)
## Enthalpy ##
w = rho+datain['u_internal']+((5./3.)-1)*datain['u_internal']+datain['bsq']
## Velocities ##
u_time = (datain['u_t'])
u_radial = (datain['u_1']/u_time)
u_theta = (datain['u_2']/u_time)
u_phi = (datain['u_3']/u_time)
line = int(LINE_INDEX[index3,0])
B_NUMBER[index3] = -((T00[line]+0+rho[line]*u_time[line])/(rho[line]*u_time[line]))
####### Forces ########
## Gravitational force ##
F_metric_radial = (1./w)*(T00*ch(r,theta,a,0,1,0) + T01*ch(r,theta,a,1,1,0) + T02*ch(r,theta,a,2,1,0) + T03*ch(r,theta,a,3,1,0) +
T10*ch(r,theta,a,0,1,1) + T11*ch(r,theta,a,1,1,1) + T12*ch(r,theta,a,2,1,1) + T13*ch(r,theta,a,3,1,1) +
T20*ch(r,theta,a,0,1,2) + T21*ch(r,theta,a,1,1,2) + T22*ch(r,theta,a,2,1,2) + T23*ch(r,theta,a,3,1,2) +
T30*ch(r,theta,a,0,1,3) + T31*ch(r,theta,a,1,1,3) + T32*ch(r,theta,a,2,1,3) + T33*ch(r,theta,a,3,1,3)) - (
(1./w)*((T11-rho*u_radial*u_radial*g11)*(2./r)) + (1./w)*((T21-rho*u_theta*u_radial*g11)*(np.cos(theta)/np.sin(theta))))
F_metric_theta = ((1./w)*( T00*ch(r,theta,a,0,2,0) + T01*ch(r,theta,a,1,2,0) + T02*ch(r,theta,a,2,2,0) + T03*ch(r,theta,a,3,2,0) +
T10*ch(r,theta,a,0,2,1) + T11*ch(r,theta,a,1,2,1) + T12*ch(r,theta,a,2,2,1) + T13*ch(r,theta,a,3,2,1) +
T20*ch(r,theta,a,0,2,2) + T21*ch(r,theta,a,1,2,2) + T22*ch(r,theta,a,2,2,2) + T23*ch(r,theta,a,3,2,2) +
T30*ch(r,theta,a,0,2,3) + T31*ch(r,theta,a,1,2,3) + T32*ch(r,theta,a,2,2,3) + T33*ch(r,theta,a,3,2,3)) - (
(1./w)*((T12-rho*u_radial*u_theta*g22)*(2./r)) + (1./w)*((T22-rho*u_theta*u_theta*g22)*(np.cos(theta)/np.sin(theta)))))/r
F_gravity_radial = (1./w)*(T00-0*((5./3.)-1.)*datain['u_internal']-datain['bsq']/2.)*ch(r,theta,a,0,1,0)
F_gravity_theta = 0
F_gravity_x = F_gravity_radial*np.sin(theta)
F_gravity_y = F_gravity_radial*np.cos(theta)
F_x = np.empty((NUMBER_OF_FORCES,1))
F_y = np.empty((NUMBER_OF_FORCES,1))
x = np.empty((NUMBER_OF_FORCES,1))
y = np.empty((NUMBER_OF_FORCES,1))
for index2 in range(0,len(LINE_INDEX)):
line = LINE_INDEX[index2]
#print('Check 1:', index2)
#print('Line::', line)
####### Forces ########
## Gravitational force ##
F_metric_radial = (1./w)*(T00*ch(r,theta,a,0,1,0) + T01*ch(r,theta,a,1,1,0) + T02*ch(r,theta,a,2,1,0) + T03*ch(r,theta,a,3,1,0) +
T10*ch(r,theta,a,0,1,1) + T11*ch(r,theta,a,1,1,1) + T12*ch(r,theta,a,2,1,1) + T13*ch(r,theta,a,3,1,1) +
T20*ch(r,theta,a,0,1,2) + T21*ch(r,theta,a,1,1,2) + T22*ch(r,theta,a,2,1,2) + T23*ch(r,theta,a,3,1,2) +
T30*ch(r,theta,a,0,1,3) + T31*ch(r,theta,a,1,1,3) + T32*ch(r,theta,a,2,1,3) + T33*ch(r,theta,a,3,1,3)) - (
(1./w)*((T11-rho*u_radial*u_radial*g11)*(2./r)) + (1./w)*((T21-rho*u_theta*u_radial*g11)*(np.cos(theta)/np.sin(theta))))
F_metric_theta = ((1./w)*( T00*ch(r,theta,a,0,2,0) + T01*ch(r,theta,a,1,2,0) + T02*ch(r,theta,a,2,2,0) + T03*ch(r,theta,a,3,2,0) +
T10*ch(r,theta,a,0,2,1) + T11*ch(r,theta,a,1,2,1) + T12*ch(r,theta,a,2,2,1) + T13*ch(r,theta,a,3,2,1) +
T20*ch(r,theta,a,0,2,2) + T21*ch(r,theta,a,1,2,2) + T22*ch(r,theta,a,2,2,2) + T23*ch(r,theta,a,3,2,2) +
T30*ch(r,theta,a,0,2,3) + T31*ch(r,theta,a,1,2,3) + T32*ch(r,theta,a,2,2,3) + T33*ch(r,theta,a,3,2,3)) - (
(1./w)*((T12-rho*u_radial*u_theta*g22)*(2./r)) + (1./w)*((T22-rho*u_theta*u_theta*g22)*(np.cos(theta)/np.sin(theta)))))/r
F_gravity_radial = (1./w)*(T00-0*((5./3.)-1.)*datain['u_internal']-datain['bsq']/2.)*ch(r,theta,a,0,1,0)
F_gravity_theta = 0
F_gravity_x = F_gravity_radial*np.sin(theta)
u_radial = (datain['u_1']/datain['u_t'])
u_theta = (datain['u_2']/datain['u_t'])
u_phi = (datain['u_3']/datain['u_t'])
F_x = np.empty((NUMBER_OF_FORCES,1))
F_y = np.empty((NUMBER_OF_FORCES,1))
x = np.empty((NUMBER_OF_FORCES,1))
y = np.empty((NUMBER_OF_FORCES,1))
for index2 in range(0,len(LINE_INDEX)):
line = LINE_INDEX[index2]
####### Forces ########
## Gravitational force ##
F_metric_radial = (1./w)*(T00*ch(r,theta,a,0,1,0) + T01*ch(r,theta,a,1,1,0) + T02*ch(r,theta,a,2,1,0) + T03*ch(r,theta,a,3,1,0) +
T10*ch(r,theta,a,0,1,1) + T11*ch(r,theta,a,1,1,1) + T12*ch(r,theta,a,2,1,1) + T13*ch(r,theta,a,3,1,1) +
T20*ch(r,theta,a,0,1,2) + T21*ch(r,theta,a,1,1,2) + T22*ch(r,theta,a,2,1,2) + T23*ch(r,theta,a,3,1,2) +
T30*ch(r,theta,a,0,1,3) + T31*ch(r,theta,a,1,1,3) + T32*ch(r,theta,a,2,1,3) + T33*ch(r,theta,a,3,1,3)) - (
(1./w)*((T11-rho*u_radial*u_radial*g11)*(2./r)) + (1./w)*((T21-rho*u_theta*u_radial*g11)*(np.cos(theta)/np.sin(theta))))
F_metric_theta = ((1./w)*( T00*ch(r,theta,a,0,2,0) + T01*ch(r,theta,a,1,2,0) + T02*ch(r,theta,a,2,2,0) + T03*ch(r,theta,a,3,2,0) +
T10*ch(r,theta,a,0,2,1) + T11*ch(r,theta,a,1,2,1) + T12*ch(r,theta,a,2,2,1) + T13*ch(r,theta,a,3,2,1) +
T20*ch(r,theta,a,0,2,2) + T21*ch(r,theta,a,1,2,2) + T22*ch(r,theta,a,2,2,2) + T23*ch(r,theta,a,3,2,2) +
T30*ch(r,theta,a,0,2,3) + T31*ch(r,theta,a,1,2,3) + T32*ch(r,theta,a,2,2,3) + T33*ch(r,theta,a,3,2,3)) - (
(1./w)*((T12-rho*u_radial*u_theta*g22)*(2./r)) + (1./w)*((T22-rho*u_theta*u_theta*g22)*(np.cos(theta)/np.sin(theta)))))/r
F_gravity_radial = (1./w)*(T00-0*((5./3.)-1.)*datain['u_internal']-datain['bsq']/2.)*ch(r,theta,a,0,1,0)
F_gravity_theta = 0
F_gravity_x = F_gravity_radial*np.sin(theta)
w = rho + datain["u_internal"] + ((5.0 / 3.0) - 1) * datain["u_internal"] + datain["bsq"]
## Velocities ##
u_time = datain["u_t"]
u_radial = datain["u_1"] / u_time
u_theta = datain["u_2"] / u_time
u_phi = datain["u_3"] / u_time
line = int(LINE_INDEX[index3, 0])
B_NUMBER[index3] = -((T00[line] + datain["R_00"][line] + rho[line] * u_time[line]) / (rho[line] * u_time[line]))
####### Forces ########
## Gravitational force ##
F_metric_radial = (1.0 / w) * (
T00 * ch(r, theta, a, 0, 1, 0)
+ T01 * ch(r, theta, a, 1, 1, 0)
+ T02 * ch(r, theta, a, 2, 1, 0)
+ T03 * ch(r, theta, a, 3, 1, 0)
+ T10 * ch(r, theta, a, 0, 1, 1)
+ T11 * ch(r, theta, a, 1, 1, 1)
+ T12 * ch(r, theta, a, 2, 1, 1)
+ T13 * ch(r, theta, a, 3, 1, 1)
+ T20 * ch(r, theta, a, 0, 1, 2)
+ T21 * ch(r, theta, a, 1, 1, 2)
+ T22 * ch(r, theta, a, 2, 1, 2)
+ T23 * ch(r, theta, a, 3, 1, 2)
+ T30 * ch(r, theta, a, 0, 1, 3)
+ T31 * ch(r, theta, a, 1, 1, 3)
+ T32 * ch(r, theta, a, 2, 1, 3)
+ T33 * ch(r, theta, a, 3, 1, 3)
