def testAtten(self):
print("\n========= INITIATING BEAM TEST ==========")
width, dX = 50.0, 0.4
sNord = 8
attnMat = mx.mixedMat({'c12': 1.0})
attnMat.setDensity(2.24)
print(attnMat.nDdict)
mesh1D = sn.Mesh1Dsn([0, width], dX, attnMat, sN=sNord)
# define fixed boundary cond
srcStrength = 1.e6 # [n / cm**2-s]
# energy distribution of source (all born at 0.1MeV
srcEnergy = np.array([1.0, 0, 0.0, 0, 0, 0, 0, 0, 0, 0])
bcs = {0: {'fixN': (1, [srcStrength, srcEnergy])},
-1: {'vac': (2, 0)}}
mesh1D.setBCs(bcs)
for si in range(1):
resid = mesh1D.sweepMesh(1)
if resid < 1e-5:
break
scalarFlux = mesh1D.getScalarFlux()
for g in range(len(srcEnergy)):
sfp.plot1DScalarFlux(scalarFlux[:][:, g], np.arange(0, width, dX), label='Group ' + str(g + 1))
sfp.plot1DNeutronND(scalarFlux[:][:, g], np.arange(0, width, dX), g)
flxPlt.plotFluxE(scalarFlux[-1][::-1]) # flux vs E at left edge
# plot ord fluxes at leading edge
ordFlux = mesh1D.getOrdFlux()
angles = np.arccos(mesh1D.cells[0].sNmu)
g = 2
mag = ordFlux[1][g, 0, :] / sum(ordFlux[1][g, 0, :])
pof.compass(angles, mag, figName='polar_grp3')
# plot ord fluxes at mid plane
g = 3
mag = ordFlux[1][g, 0, :] / sum(ordFlux[1][g, 0, :])
pof.compass(angles, mag, figName='polar_grp4')
def testKeigenSweep(self):
print("\n========= INITIATING K-EIGEN TEST ==========")
width, dX = 4.0, 0.05
mesh1D = sn.Mesh1Dsn([0, width], dX, pinMaterial, sN=8)
#bcs = {0: {'vac': (1, 0)}, -1: {'vac': (2, 0)}} # vac bc test
bcs = {0: {'ref': (1, 0)}, -1: {'ref': (2, 0)}} # ref bc test
mesh1D.setBCs(bcs)
#
fissionSrc = []
mesh1D.setKeff(1.)
fissionSrc.append(np.sum(mesh1D.fissionSrc())) # todo mult by width
scalarFlux = mesh1D.getScalarFlux()
sfp.plot1DScalarFlux(scalarFlux[:][:, 1], np.arange(0, width, dX))
for pI in range(8):
# Perform source iterations
nSourceIterations = 80
for si in range(nSourceIterations):
mesh1D.sweepMesh(10)
fissionSrc.append(np.sum(mesh1D.fissionSrc()))
knew = mesh1D.keff * (fissionSrc[-1] / fissionSrc[-2])
print("Outter iteration: " + str(pI) + " k-eff :" + str(knew))
scalarFlux = mesh1D.getScalarFlux()
flxPlt.plotFluxE(scalarFlux[len(np.arange(0, width, dX)) /
2][::-1])
sfp.plot1DScalarFlux(scalarFlux[:][:, 1], np.arange(0, width, dX))
mesh1D.setKeff(knew)
mesh1D.postSI()
def testKeigenSweep(self):
print("\n========= INITIATING K-EIGEN TEST ==========")
width, dX = 4.0, 0.05
mesh1D = sn.Mesh1Dsn([0, width], dX, pinMaterial, sN=8)
#bcs = {0: {'vac': (1, 0)}, -1: {'vac': (2, 0)}} # vac bc test
bcs = {0: {'ref': (1, 0)}, -1: {'ref': (2, 0)}} # ref bc test
mesh1D.setBCs(bcs)
#
fissionSrc = []
mesh1D.setKeff(1.)
fissionSrc.append(np.sum(mesh1D.fissionSrc())) # todo mult by width
scalarFlux = mesh1D.getScalarFlux()
sfp.plot1DScalarFlux(scalarFlux[:][:, 1], np.arange(0, width, dX))
for pI in range(8):
# Perform source iterations
nSourceIterations = 80
for si in range(nSourceIterations):
mesh1D.sweepMesh(10)
fissionSrc.append(np.sum(mesh1D.fissionSrc()))
knew = mesh1D.keff * (fissionSrc[-1] / fissionSrc[-2])
print("Outter iteration: " + str(pI) + " k-eff :" + str(knew))
scalarFlux = mesh1D.getScalarFlux()
flxPlt.plotFluxE(scalarFlux[len(np.arange(0, width, dX)) / 2][::-1])
sfp.plot1DScalarFlux(scalarFlux[:][:, 1], np.arange(0, width, dX))
mesh1D.setKeff(knew)
mesh1D.postSI()
def testAtten(self):
print("\n========= INITIATING MULT REGION BEAM TEST ==========")
sNord = 18
# define fixed source boundary cond
srcStrength = 1.e6 # [n / cm**2-s]
# energy distribution of source (all born at 0.1MeV
srcEnergy = np.array([1.0, 0, 0.0, 0, 0, 0, 0, 0, 0, 0])
#
# ## REGION 1 - GRAPHITE ###
width1, dX1 = 25.0, 1.0
region1Mat = mx.mixedMat({'c12': 1.0})
region1Mat.setDensity(1.96)
region1mesh1D = sn.Mesh1Dsn([0, width1], dX1, region1Mat, sN=sNord)
bcs1 = {0: {'fixN': (1, [srcStrength, srcEnergy])}}
region1mesh1D.setBCs(bcs1)
# ## REGION 2 - BORATED CARBON ###
width2, dX2 = 25.0, 0.05
region2Mat = mx.mixedMat({'c12': 0.99, 'b10': 0.01})
region2Mat.setDensity(1.9)
region2mesh1D = sn.Mesh1Dsn([width1 + dX1 / 2. + dX2 / 2., width1 + dX1 / 2. + dX2 / 2. + width2], dX2, region2Mat, sN=sNord)
bcs2 = {-1: {'vac': (2, 0)}}
region2mesh1D.setBCs(bcs2)
#
# ## BUILD DOMAIN ###
domain = sn.SubDomain()
domain.addRegion(region1mesh1D)
domain.addRegion(region2mesh1D)
domain.buildSweepTree()
#
# ## SWEEP DOMAIN ###
for si in range(180):
resid = domain.sweepSubDomain(1)
if resid < 1e-5:
break
scalarFlux = domain.getScalarFlux()
for g in range(len(srcEnergy)):
pass
flxPlt.plotFluxE(scalarFlux[-1][::-1]) # flux vs E at left edge
centroids = [cell.centroid for cell in domain.regions[0].cells]
centroids += [cell.centroid for cell in domain.regions[1].cells]
for g in range(len(srcEnergy)):
sfp.plot1DScalarFlux(scalarFlux[:][:, g], centroids, label='Group ' + str(g + 1))
# sfp.plot1DNeutronND(scalarFlux[:][:, g], centroids, g)
# plot ord fluxes at leading edge
ordFlux = domain.getOrdFlux()
angles = np.arccos(domain.regions[0].cells[0].sNmu)
g = 2
mag = ordFlux[1][g, 0, :] / sum(ordFlux[1][g, 0, :])
pof.compass(angles, mag, figName='polar_grp3')
# plot ord fluxes at mid plane
g = 3
mag = ordFlux[1][g, 0, :] / sum(ordFlux[1][g, 0, :])
pof.compass(angles, mag, figName='polar_grp4')
def testAtten(self):
print("\n========= INITIATING BEAM TEST ==========")
width, dX = 50.0, 0.4
sNord = 8
attnMat = mx.mixedMat({'c12': 1.0})
attnMat.setDensity(2.24)
print(attnMat.nDdict)
mesh1D = sn.Mesh1Dsn([0, width], dX, attnMat, sN=sNord)
# define fixed boundary cond
srcStrength = 1.e6 # [n / cm**2-s]
# energy distribution of source (all born at 0.1MeV
srcEnergy = np.array([1.0, 0, 0.0, 0, 0, 0, 0, 0, 0, 0])
bcs = {0: {'fixN': (1, [srcStrength, srcEnergy])}, -1: {'vac': (2, 0)}}
mesh1D.setBCs(bcs)
for si in range(1):
resid = mesh1D.sweepMesh(1)
if resid < 1e-5:
break
scalarFlux = mesh1D.getScalarFlux()
for g in range(len(srcEnergy)):
sfp.plot1DScalarFlux(scalarFlux[:][:, g],
np.arange(0, width, dX),
label='Group ' + str(g + 1))
sfp.plot1DNeutronND(scalarFlux[:][:, g], np.arange(0, width, dX),
g)
flxPlt.plotFluxE(scalarFlux[-1][::-1]) # flux vs E at left edge
# plot ord fluxes at leading edge
ordFlux = mesh1D.getOrdFlux()
angles = np.arccos(mesh1D.cells[0].sNmu)
g = 2
mag = ordFlux[1][g, 0, :] / sum(ordFlux[1][g, 0, :])
pof.compass(angles, mag, figName='polar_grp3')
# plot ord fluxes at mid plane
g = 3
mag = ordFlux[1][g, 0, :] / sum(ordFlux[1][g, 0, :])
pof.compass(angles, mag, figName='polar_grp4')
def testSlab(widths, modMat, borMat):
print("\n========= INITIATING MULT REGION TEST ==========")
ngrps = 10
sNord = 8
srcStrength = 1.e10 # [n / cm**3-s]
# ## REGION WIDTHS
width1, dx1 = widths[0], 0.1
end1 = 0 + width1 - dx1
#
width2, dx2 = widths[1], 0.02
start2 = end1 + dx1 / 2 + dx2 / 2
end2 = start2 + width2 - dx2
#
width3, dx3 = widths[2], 0.1
start3 = end2 + dx2 / 2 + dx3 / 2
end3 = start3 + width3 - dx3
#
width4, dx4 = widths[3], 0.02
start4 = end3 + dx3 / 2 + dx4 / 2
#start4 = end3 + dx3 / 1. + dx4 / 1. + 0.04
end4 = start4 + width4 - dx4
#
width5, dx5 = widths[4], 0.1
start5 = end4 + dx4 / 2 + dx5 / 2
end5 = start5 + width5 - dx5
#
width6, dx6 = widths[5], 0.02
start6 = end5 + dx5 / 2 + dx6 / 2
end6 = start6 + width6 - dx6
#
width7, dx7 = widths[6], 0.1
start7 = end6 + dx6 / 2 + dx7 / 2
end7 = start7 + width7 - dx7
#
# ## REGIONS Defs ###
region1mesh1D = sn.Mesh1Dsn([0, end1 + dx1], dx1, modMat, sN=sNord)
src = np.zeros((10, 3, sNord))
src[0, 0, :] = srcStrength
bcs1 = {0: {'vac': (1, 0)}}
region1mesh1D.setBCs(bcs1)
region2mesh1D = sn.Mesh1Dsn([start2, end2], dx2, borMat, sN=sNord, source=src)
region3mesh1D = sn.Mesh1Dsn([start3, end3], dx3, modMat, sN=sNord)
region4mesh1D = sn.Mesh1Dsn([start4, end4], dx4, borMat, sN=sNord, source=src)
region5mesh1D = sn.Mesh1Dsn([start5, end5], dx5, modMat, sN=sNord)
region6mesh1D = sn.Mesh1Dsn([start6, end6], dx6, borMat, sN=sNord, source=src)
region7mesh1D = sn.Mesh1Dsn([start7, end7 + dx7], dx7, modMat, sN=sNord)
bcs2 = {-1: {'vac': (2, 0)}}
region7mesh1D.setBCs(bcs2)
# ## BUILD DOMAIN ###
domain = sn.SubDomain()
domain.addRegion(region1mesh1D)
domain.addRegion(region2mesh1D)
domain.addRegion(region3mesh1D)
domain.addRegion(region4mesh1D)
domain.addRegion(region5mesh1D)
domain.addRegion(region6mesh1D)
domain.addRegion(region7mesh1D)
domain.buildSweepTree()
#
# ## SWEEP DOMAIN ###
for si in range(180):
resid = domain.sweepSubDomain(1)
if resid < 1e-6:
pass
#break
scalarFlux = domain.getScalarFlux()
#flxPlt.plotFluxE(scalarFlux[-1][::-1]) # flux vs E at left edge
centroids = domain.getCentroids()
# plot all grp fluxes vs space
for g in range(ngrps):
sfp.plot1DScalarFlux(scalarFlux[:][:, g], centroids, label='Group ' + str(g + 1), legend=True, enableYlog=False)
pass
# plot ord fluxes at center of first absorber strip
ordFlux = domain.getOrdFlux()
angles = np.arccos(domain.regions[0].cells[0].sNmu)
print("ord flux plots at " + str(centroids[92]) + "[cm]")
for g in range(10):
mag = ordFlux[92][g, 0, :] / sum(ordFlux[92][g, 0, :])
#pof.compass(angles, mag, figName='hw3_polar_grp' + str(g + 1))
# plot absorption rate
absRate = domain.getAbsRate()
#sfp.plot1DScalarFlux(absRate, centroids, label='absRate', legend=True, fnameOut='absRate', figNum=20)
# Rate of leakage out of left and right faces
leftGrpCurrent, rightGrpCurrent = 0, 0
for g in range(ngrps):
leftGrpCurrent += 0.5 * np.sum((domain.regions[0].cells[0].wN[:] * np.abs(domain.regions[0].cells[0].sNmu[:]) *
domain.regions[0].cells[0].totOrdFlux[g, 1, :])[sNord/2:])
rightGrpCurrent += 0.5 * np.sum((domain.regions[6].cells[-1].wN[:] * np.abs(domain.regions[6].cells[-1].sNmu[:]) *
domain.regions[6].cells[-1].totOrdFlux[g, 2, :])[:sNord/2])
# total neutron production rate (3x abs pins of width 2cm)
totProd = 1e10 * 2 * 3 # (n/s-cm^3) * (cm) -> n/s-cm^2
# fraction out left and right face
lfl = leftGrpCurrent / totProd
rfl = rightGrpCurrent / totProd
print("Fraction of source neutrons leaking left= " + str(lfl))
print("Fraction of source neutrons leaking right= " + str(rfl))
# non leakage prob
nlp = 1 - (leftGrpCurrent + rightGrpCurrent) / totProd
print("Non Leakage Probability= " + str(nlp))
# compute dimensionless parameter: pi1
totXS = domain.regions[1].totalXs
weightedXS = np.max(totXS)
#weightedXS = np.sum(totXS * domain.getScalarFlux([0, 6]), axis=1)
totFlux = np.sum(domain.getScalarFlux([0, 6]), axis=1)
#flux = np.sum(domain.getScalarFlux([1, 3, 5]))
#pi1 = 6.0 * np.average(weightedXS / totFlux)
pi1 = 6.0 * weightedXS
# dump ord fluxes and source to h5 file
h5data = {'mesh': domain.getCentroids(), 'ordFluxes': domain.getOrdFlux(), 'source': domain.getSource(),
'scalarFluxes': scalarFlux[:]}
h5d.writeToHdf5(h5data, '1d_7region.h5')
return nlp, pi1
