}
}
if (core_config < 1) or (core_config > 3):
raise TypeError('Invalid core configuration no. [1-3].')
else:
core = np.ones(nfa, dtype=np.int)
core[1::2] += core_config
cum_sum_list = lambda l1: l1[0] + cum_sum_list(l1[1:]) if len(l1) != 1 else l1[
0]
media = cum_sum_list([get_fa(core[i], i, Lmat) for i in range(nfa)])
# set b.c.
LBC, RBC = 0, 0
Heter2GSlab_data = input_data(xs_media, media, xi, geometry_type, LBC, RBC)
if __name__ == "__main__":
import logging as lg
lg.info("*** Solve the Rahnema 1997 problem ***")
from FDsDiff1D import run_calc_with_RM_its, solver_options
ritmax = 10
CMFD, pCMFD = True, False
slvr_opts = solver_options(ritmax=ritmax, CMFD=CMFD, pCMFD=pCMFD)
filename = "../output/kflx_Rahnema1997_C%d_LBC%dRBC%d_I%d_itr%d" % \
(core_config, LBC, RBC, I, ritmax)
flx, k = run_calc_with_RM_its(Heter2GSlab_data, slvr_opts, filename)
for I0 in [40]:
m = 'PUa' # only one case in the test suite
L = rc = 1.853722 * 2 # cm, critical length
# L = rc = 0.605055 # mfp
xs_media, media = set_media(materials[m], L, m)
geo = "slab"
case = "%s-1-0-%s" % (m, get_geoid(geo)) # + 'h'
lg.info("Test case: " + case)
# I = I0 #* 2 # number of cells in the spatial mesh
I = 25
r = equivolume_mesh(I, 0, L, geo)
# r = np.array([0, 1 / 8., 1 / 6., 0.9, 1]) * L
data = input_data(xs_media, media, r, geo, LBC=0, RBC=0)
# ks is needed anyway when validating the input solver options
k, flx = solve_cpm1D(data, solver_options(ks=np.full(I, 0)), False)
np.testing.assert_allclose(k,
1,
atol=1.e-3,
err_msg=case + ": criticality not verified")
np.save(os.path.join(odir, case + '_ref_I%d.npy' % I), [k, flx, None])
m = 'PUb' # only one case in the test suite
# critical lengths
rc_dict = {'slab': 2.256751, 'cylinder': 4.279960, 'sphere': 6.082547}
for geo in geoms:
case = "%s-1-0-%s" % (m, get_geoid(geo))
diffsol_ref = lambda x: np.sin(BG * x) / x
# integration of sin(x)/x yields 'sine integral func'
# anorm, _ = sici(BG * L)
# integration of (sin(BG*r)/r) r**2 dr yields
anorm = (np.sin(BG * L) - BG * L * np.cos(BG * L)) / BG**2
Dktol, Dftol = 2e-3, 2e-2
# r = geomprogr_mesh(N=I, L=L, ratio=0.95)
r = equivolume_mesh(I, 0, L, geo)
lg.info('Reference critical length (L) is %.6f cm' % L)
lg.info('Extrapolation distance (zeta*D) is %.3f cm' % extrap_len)
xs_media, media = set_media(materials[m], L, m)
data = input_data(xs_media,
media,
r,
geo,
LBC=LBC,
RBC=0,
per_unit_angle=True)
# *** WARNING ***
# The extrapolation length is a quite large w.r.t. to the problem
# width in these problems. Therefore, the numerical solution can be
# very different from the analytical one (still an extrapolation
# length is considered).
lg.info(' -o-' * 15)
lg.info('analytical solution of the diffusion equation')
ansol, DFkref = diffsol_ref(data.xim), \
diffk_ref(BG**2, materials[m])
# lg.info('fund. flx\n' +
# str(ansol / np.sum(ansol * data.Vi) * G * I))
materials = change_H2O(materials)
# --------------------------------------------------------------------------
# Problem 30
m, geo = 'Ue', 'slab'
case = "%s-Fe-Na-1-0-%s" % (m, get_geoid(geo))
L0, L1, L2, L = 0.317337461, 5.437057544, 5.754395005, Lc[case]
LBC = RBC = 0
I0 = 65 # within clad - Fe
I1 = 180 # fuel
I2 = 100 # within moderator - Na
I = [I0, I1, I0, I2]
widths_of_buffers = [L0, L1, L2, L]
xs_media, media = set_media(materials,
widths_of_buffers, ['Fe', m, 'Fe', 'Na'])
r = equivolume_mesh(I0, 0, widths_of_buffers[0], geo)
for i in range(3):
Lb, Le = widths_of_buffers[i], widths_of_buffers[i+1]
Ix = I[i] #[i] = I0 if i % 2 == 0 else I1
r = np.append(r, equivolume_mesh(Ix, Lb, Le, geo)[1:])
data = input_data(xs_media, media, r, geo, LBC=LBC, RBC=RBC)
slvr_opts = solver_options(iitmax=5, oitmax=5, ritmax=200, CMFD=True,
pCMFD=False, Anderson_depth='auto')
filename = os.path.join(odir, case + "_LBC%dRBC%d_I%d" %
(LBC, RBC, sum(I)))
flx, k = run_calc_with_RM_its(data, slvr_opts, filename)
np.testing.assert_allclose(k, 1.0, atol=1.e-4, err_msg=case +
": criticality not verified")