def tlm_validation(eta, dt, tlm):
ndim = np.shape(eta)[0]
err = 0.1 * np.random.randn(ndim)
eta_new = integrator.step(eta, 0, dt)
eta_new_p = integrator.step(eta + err, 0, dt)
out = np.linalg.norm(eta_new - eta_new_p) / np.linalg.norm(tlm * err)
return out
def compute_tlm(eta, dt, tensor):
ndim = np.shape(eta)[0]
n = 1
eta1 = eta
j1 = jacobi_mat(eta1, tensor)
eta2 = integrator.step(eta1, 0, dt)
j2 = jacobi_mat(eta2, tensor)
tlm = np.identity(ndim) + (j1 + j2) * 0.5 * dt + np.dot(j2,
j1) * 0.5 * dt**2
return tlm
def compute_adm(eta, dt, tensor):
# Notice, the input dt is a positive number
ndim = np.shape(eta)[0]
n = 1
dt_adm = dt / n
eta_old = eta
adm_old = np.identity(ndim)
for i in range(1, n + 1):
j_mat = jacobi_mat(eta_old, tensor)
adm = np.dot(np.identity(ndim) + dt_adm * j_mat.transpose(), adm_old)
eta_new = integrator.step(eta_old, 0, -dt_adm)
eta_old = eta_new
adm_old = adm
return adm
BOLD = '\033[1m'
UNDERLINE = '\033[4m'
print (bcolors.OKBLUE + "Model MAOOAM v1.2" + bcolors.ENDC)
print (bcolors.OKBLUE + "Initialization ..." + bcolors.ENDC)
ic_def.load_IC()
X = ic.X0
print (bcolors.OKBLUE + "Starting the transient time evolution ..." + bcolors.ENDC)
t = 0.
T = time.clock()
t_up = dt/t_trans*100
while t < t_trans:
X = integrator.step(X, t, dt)
t += dt
if t/t_trans*100 % 0.1 < t_up:
print_progress(t/t_trans)
print (bcolors.OKBLUE + "Starting the time evolution ..." + bcolors.ENDC)
fichier = open("evol_field.dat", "w")
t = 0.
t_up = dt/t_run*100
while t < t_run:
X = integrator.step(X, t, dt)
t += dt
if t % (tw) < dt:
fichier.write(str(t)+" ")
for i in range(0, ndim):