Aerostructural Optimization with Tubular Spar
With aerodynamic- and structural-only analyses done, we now examine an aerostructural design problem. The construction of the problem follows the same logic as outlined in Aerodynamic Optimization, though with some added details. For example, we use an AerostructPoint group instead of an AeroGroup because it contains the additional components needed for aerostructural optimization. Additionally, we have more variable connections due to the more complex problem formulation.
For more details about mesh_dict
and surface
in the following script, see Mesh and Surface Dictionaries.
import numpy as np
from openaerostruct.geometry.utils import generate_mesh
from openaerostruct.integration.aerostruct_groups import AerostructGeometry, AerostructPoint
from openaerostruct.utils.constants import grav_constant
import openmdao.api as om
# Create a dictionary to store options about the surface
mesh_dict = {"num_y": 5, "num_x": 2, "wing_type": "CRM", "symmetry": True, "num_twist_cp": 5}
mesh, twist_cp = generate_mesh(mesh_dict)
surface = {
# Wing definition
"name": "wing", # name of the surface
"symmetry": True, # if true, model one half of wing
# reflected across the plane y = 0
"S_ref_type": "wetted", # how we compute the wing area,
# can be 'wetted' or 'projected'
"fem_model_type": "tube",
"thickness_cp": np.array([0.1, 0.2, 0.3]),
"twist_cp": twist_cp,
"mesh": mesh,
# Aerodynamic performance of the lifting surface at
# an angle of attack of 0 (alpha=0).
# These CL0 and CD0 values are added to the CL and CD
# obtained from aerodynamic analysis of the surface to get
# the total CL and CD.
# These CL0 and CD0 values do not vary wrt alpha.
"CL0": 0.0, # CL of the surface at alpha=0
"CD0": 0.015, # CD of the surface at alpha=0
# Airfoil properties for viscous drag calculation
"k_lam": 0.05, # percentage of chord with laminar
# flow, used for viscous drag
"t_over_c_cp": np.array([0.15]), # thickness over chord ratio (NACA0015)
"c_max_t": 0.303, # chordwise location of maximum (NACA0015)
# thickness
"with_viscous": True,
"with_wave": False, # if true, compute wave drag
# Structural values are based on aluminum 7075
"E": 70.0e9, # [Pa] Young's modulus of the spar
"G": 30.0e9, # [Pa] shear modulus of the spar
"yield": 500.0e6 / 2.5, # [Pa] yield stress divided by 2.5 for limiting case
"mrho": 3.0e3, # [kg/m^3] material density
"fem_origin": 0.35, # normalized chordwise location of the spar
"wing_weight_ratio": 2.0,
"struct_weight_relief": False, # True to add the weight of the structure to the loads on the structure
"distributed_fuel_weight": False,
# Constraints
"exact_failure_constraint": False, # if false, use KS function
}
# Create the problem and assign the model group
prob = om.Problem()
# Add problem information as an independent variables component
indep_var_comp = om.IndepVarComp()
indep_var_comp.add_output("v", val=248.136, units="m/s")
indep_var_comp.add_output("alpha", val=5.0, units="deg")
indep_var_comp.add_output("Mach_number", val=0.84)
indep_var_comp.add_output("re", val=1.0e6, units="1/m")
indep_var_comp.add_output("rho", val=0.38, units="kg/m**3")
indep_var_comp.add_output("CT", val=grav_constant * 17.0e-6, units="1/s")
indep_var_comp.add_output("R", val=11.165e6, units="m")
indep_var_comp.add_output("W0", val=0.4 * 3e5, units="kg")
indep_var_comp.add_output("speed_of_sound", val=295.4, units="m/s")
indep_var_comp.add_output("load_factor", val=1.0)
indep_var_comp.add_output("empty_cg", val=np.zeros((3)), units="m")
prob.model.add_subsystem("prob_vars", indep_var_comp, promotes=["*"])
aerostruct_group = AerostructGeometry(surface=surface)
name = "wing"
# Add tmp_group to the problem with the name of the surface.
prob.model.add_subsystem(name, aerostruct_group)
point_name = "AS_point_0"
# Create the aero point group and add it to the model
AS_point = AerostructPoint(surfaces=[surface])
prob.model.add_subsystem(
point_name,
AS_point,
promotes_inputs=[
"v",
"alpha",
"Mach_number",
"re",
"rho",
"CT",
"R",
"W0",
"speed_of_sound",
"empty_cg",
"load_factor",
],
)
com_name = point_name + "." + name + "_perf"
prob.model.connect(
name + ".local_stiff_transformed", point_name + ".coupled." + name + ".local_stiff_transformed"
)
prob.model.connect(name + ".nodes", point_name + ".coupled." + name + ".nodes")
# Connect aerodyamic mesh to coupled group mesh
prob.model.connect(name + ".mesh", point_name + ".coupled." + name + ".mesh")
# Connect performance calculation variables
prob.model.connect(name + ".radius", com_name + ".radius")
prob.model.connect(name + ".thickness", com_name + ".thickness")
prob.model.connect(name + ".nodes", com_name + ".nodes")
prob.model.connect(name + ".cg_location", point_name + "." + "total_perf." + name + "_cg_location")
prob.model.connect(name + ".structural_mass", point_name + "." + "total_perf." + name + "_structural_mass")
prob.model.connect(name + ".t_over_c", com_name + ".t_over_c")
prob.driver = om.ScipyOptimizeDriver()
prob.driver.options["tol"] = 1e-9
# Setup problem and add design variables, constraint, and objective
prob.model.add_design_var("wing.twist_cp", lower=-10.0, upper=15.0)
prob.model.add_design_var("wing.thickness_cp", lower=0.01, upper=0.5, scaler=1e2)
prob.model.add_constraint("AS_point_0.wing_perf.failure", upper=0.0)
prob.model.add_constraint("AS_point_0.wing_perf.thickness_intersects", upper=0.0)
# Add design variables, constraisnt, and objective on the problem
prob.model.add_design_var("alpha", lower=-10.0, upper=10.0)
prob.model.add_constraint("AS_point_0.L_equals_W", equals=0.0)
prob.model.add_objective("AS_point_0.fuelburn", scaler=1e-5)
# Set up the problem
prob.setup(check=True)
# Inserting a small unit test here. Verify that beta is correctly promoted in an Aerostruct
# group.
print(prob["AS_point_0.beta"])
[0.]
prob.run_driver()
INFO: checking out_of_order INFO: checking system INFO: checking solvers INFO: checking dup_inputs INFO: checking missing_recorders WARNING: The Problem has no recorder of any kind attached INFO: checking unserializable_options INFO: checking comp_has_no_outputs INFO: checking auto_ivc_warnings ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 6213058.65 1 NL: NLBGS 2 ; 8416718.24 1.35468192 NL: NLBGS 3 ; 56428.312 0.00908221138 NL: NLBGS 4 ; 721.304619 0.000116094932 NL: NLBGS 5 ; 40.9168761 6.58562528e-06 NL: NLBGS 6 ; 1.70725765 2.74785375e-07 NL: NLBGS 7 ; 0.0154420679 2.48542123e-09 NL: NLBGS 8 ; 0.000698488794 1.12422694e-10 NL: NLBGS 9 ; 1.95881996e-05 3.15274661e-12 NL: NLBGS 10 ; 3.34261579e-07 5.37998429e-14 NL: NLBGS 11 ; 8.6962845e-09 1.39967848e-15 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 1.02191677e-09 1 NL: NLBGS Converged /home/docs/checkouts/readthedocs.org/user_builds/mdolab-openaerostruct/envs/latest/lib/python3.11/site-packages/openmdao/core/total_jac.py:1651: DerivativesWarning:Design variables [('wing.thickness_cp', inds=[1])] have no impact on the constraints or objective. ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 5253321.36 1 NL: NLBGS 2 ; 7051639.76 1.34232027 NL: NLBGS 3 ; 98662.5092 0.0187809773 NL: NLBGS 4 ; 4531.17799 0.000862535847 NL: NLBGS 5 ; 416.907275 7.93607027e-05 NL: NLBGS 6 ; 24.6364461 4.68968952e-06 NL: NLBGS 7 ; 0.772258008 1.47003763e-07 NL: NLBGS 8 ; 0.0311794168 5.93518169e-09 NL: NLBGS 9 ; 0.0027442972 5.2239279e-10 NL: NLBGS 10 ; 0.00013767379 2.62069993e-11 NL: NLBGS 11 ; 4.1188147e-06 7.84040117e-13 NL: NLBGS 12 ; 2.77055676e-07 5.27391448e-14 NL: NLBGS 13 ; 1.32845738e-08 2.52879519e-15 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 554400.711 1 NL: NLBGS 2 ; 747332.392 1.34800042 NL: NLBGS 3 ; 9097.73465 0.0164100343 NL: NLBGS 4 ; 374.587226 0.000675661518 NL: NLBGS 5 ; 40.6952397 7.34040179e-05 NL: NLBGS 6 ; 2.42650773 4.37681208e-06 NL: NLBGS 7 ; 0.0840023566 1.51519208e-07 NL: NLBGS 8 ; 0.00349564248 6.30526334e-09 NL: NLBGS 9 ; 0.000366599578 6.61253803e-10 NL: NLBGS 10 ; 9.52828457e-06 1.71866384e-11 NL: NLBGS 11 ; 3.8984543e-07 7.03183495e-13 NL: NLBGS 12 ; 3.81164086e-08 6.87524526e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 23267.4518 1 NL: NLBGS 2 ; 31803.7322 1.36687646 NL: NLBGS 3 ; 209.647674 0.00901034096 NL: NLBGS 4 ; 21.8347375 0.000938424097 NL: NLBGS 5 ; 1.03444069 4.44587011e-05 NL: NLBGS 6 ; 0.0433189519 1.86178324e-06 NL: NLBGS 7 ; 0.00205742989 8.8425235e-08 NL: NLBGS 8 ; 0.000155309114 6.67495158e-09 NL: NLBGS 9 ; 1.13400874e-05 4.8737986e-10 NL: NLBGS 10 ; 3.51774572e-07 1.51187407e-11 NL: NLBGS 11 ; 1.12925296e-08 4.85335895e-13 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 112527.344 1 NL: NLBGS 2 ; 153899.605 1.36766406 NL: NLBGS 3 ; 1031.82158 0.00916951859 NL: NLBGS 4 ; 106.40532 0.000945595233 NL: NLBGS 5 ; 5.36538664 4.76807364e-05 NL: NLBGS 6 ; 0.212013188 1.88410372e-06 NL: NLBGS 7 ; 0.00970379608 8.62350048e-08 NL: NLBGS 8 ; 0.000793463004 7.05129059e-09 NL: NLBGS 9 ; 5.4047841e-05 4.80308509e-10 NL: NLBGS 10 ; 1.62374555e-06 1.44297865e-11 NL: NLBGS 11 ; 6.81841329e-08 6.05933903e-13 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 555127.211 1 NL: NLBGS 2 ; 759242.514 1.36769104 NL: NLBGS 3 ; 5190.27945 0.00934971182 NL: NLBGS 4 ; 552.34134 0.000994981563 NL: NLBGS 5 ; 30.5536703 5.50390427e-05 NL: NLBGS 6 ; 1.17922688 2.12424622e-06 NL: NLBGS 7 ; 0.0543909897 9.79793256e-08 NL: NLBGS 8 ; 0.0046220073 8.32603267e-09 NL: NLBGS 9 ; 0.00032993983 5.94349949e-10 NL: NLBGS 10 ; 1.01125297e-05 1.82165988e-11 NL: NLBGS 11 ; 4.9196377e-07 8.86218078e-13 NL: NLBGS 12 ; 3.66772542e-08 6.60699989e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 2603416.5 1 NL: NLBGS 2 ; 3561784.87 1.3681195 NL: NLBGS 3 ; 30061.8416 0.0115470735 NL: NLBGS 4 ; 3782.95725 0.00145307416 NL: NLBGS 5 ; 322.651361 0.000123933824 NL: NLBGS 6 ; 12.5767994 4.83088259e-06 NL: NLBGS 7 ; 0.588512435 2.26053893e-07 NL: NLBGS 8 ; 0.0709349635 2.72468749e-08 NL: NLBGS 9 ; 0.0073297385 2.81543061e-09 NL: NLBGS 10 ; 0.000240827014 9.25042206e-11 NL: NLBGS 11 ; 1.21742442e-05 4.67625685e-12 NL: NLBGS 12 ; 1.52102805e-06 5.84243072e-13 NL: NLBGS 13 ; 1.20849665e-07 4.64196434e-14 NL: NLBGS 14 ; 1.04647787e-08 4.01963293e-15 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 3800983.23 1 NL: NLBGS 2 ; 5223509.11 1.37425208 NL: NLBGS 3 ; 268006.91 0.0705098901 NL: NLBGS 4 ; 77774.5661 0.0204616967 NL: NLBGS 5 ; 29849.9993 0.00785323101 NL: NLBGS 6 ; 2503.6912 0.000658695671 NL: NLBGS 7 ; 393.167565 0.000103438385 NL: NLBGS 8 ; 203.198551 5.34594705e-05 NL: NLBGS 9 ; 68.1665394 1.79339227e-05 NL: NLBGS 10 ; 4.15488617 1.09310826e-06 NL: NLBGS 11 ; 1.72638619 4.54194635e-07 NL: NLBGS 12 ; 0.593375665 1.56111098e-07 NL: NLBGS 13 ; 0.0506676852 1.33301523e-08 NL: NLBGS 14 ; 0.011127164 2.9274436e-09 NL: NLBGS 15 ; 0.00554796181 1.45961229e-09 NL: NLBGS 16 ; 0.000499827241 1.3149946e-10 NL: NLBGS 17 ; 8.81778615e-05 2.31986979e-11 NL: NLBGS 18 ; 3.45960096e-05 9.10185801e-12 NL: NLBGS 19 ; 1.22464595e-05 3.22191884e-12 NL: NLBGS 20 ; 9.21666951e-07 2.42481194e-13 NL: NLBGS 21 ; 2.82116246e-07 7.42219128e-14 NL: NLBGS 22 ; 1.44471017e-07 3.80088541e-14 NL: NLBGS 23 ; 3.50391454e-08 9.21844253e-15 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 85763.5713 1 NL: NLBGS 2 ; 115322.151 1.34465192 NL: NLBGS 3 ; 8834.73708 0.1030127 NL: NLBGS 4 ; 1581.59145 0.0184412965 NL: NLBGS 5 ; 245.537846 0.002862962 NL: NLBGS 6 ; 146.688504 0.00171038242 NL: NLBGS 7 ; 14.8036867 0.000172610427 NL: NLBGS 8 ; 3.24443039 3.78299357e-05 NL: NLBGS 9 ; 0.954055011 1.11242454e-05 NL: NLBGS 10 ; 0.330240915 3.85059659e-06 NL: NLBGS 11 ; 0.0269431155 3.14155709e-07 NL: NLBGS 12 ; 0.00420865835 4.90727973e-08 NL: NLBGS 13 ; 0.00242689318 2.82974827e-08 NL: NLBGS 14 ; 0.000801433685 9.34468648e-09 NL: NLBGS 15 ; 4.12740282e-05 4.81253608e-10 NL: NLBGS 16 ; 1.7901523e-05 2.08731082e-10 NL: NLBGS 17 ; 7.53893791e-06 8.79037311e-11 NL: NLBGS 18 ; 6.42583804e-07 7.49250287e-12 NL: NLBGS 19 ; 9.71384925e-08 1.13263115e-12 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 47022.0122 1 NL: NLBGS 2 ; 64395.9755 1.36948575 NL: NLBGS 3 ; 2818.94618 0.0599495013 NL: NLBGS 4 ; 730.501481 0.0155353088 NL: NLBGS 5 ; 209.206581 0.00444912012 NL: NLBGS 6 ; 18.553908 0.000394579201 NL: NLBGS 7 ; 2.38654413 5.07537643e-05 NL: NLBGS 8 ; 1.23296155 2.62209439e-05 NL: NLBGS 9 ; 0.685129022 1.45703893e-05 NL: NLBGS 10 ; 0.0432214077 9.19173928e-07 NL: NLBGS 11 ; 0.0117293877 2.49444613e-07 NL: NLBGS 12 ; 0.00443860197 9.43941308e-08 NL: NLBGS 13 ; 0.000393828672 8.37541086e-09 NL: NLBGS 14 ; 5.37328293e-05 1.1427165e-09 NL: NLBGS 15 ; 2.57003778e-05 5.4656057e-10 NL: NLBGS 16 ; 1.33611769e-05 2.84147281e-10 NL: NLBGS 17 ; 9.21958403e-07 1.96069534e-11 NL: NLBGS 18 ; 2.6400039e-07 5.6144001e-12 NL: NLBGS 19 ; 1.12900771e-07 2.40101955e-12 NL: NLBGS 20 ; 1.57644484e-08 3.35256779e-13 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 231370.302 1 NL: NLBGS 2 ; 316821.103 1.36932484 NL: NLBGS 3 ; 14153.856 0.0611740393 NL: NLBGS 4 ; 3675.67184 0.0158865325 NL: NLBGS 5 ; 1043.26241 0.00450905931 NL: NLBGS 6 ; 93.5424958 0.000404297764 NL: NLBGS 7 ; 11.8401746 5.11741331e-05 NL: NLBGS 8 ; 6.04614457 2.61318955e-05 NL: NLBGS 9 ; 3.52623097 1.52406378e-05 NL: NLBGS 10 ; 0.229766668 9.93068971e-07 NL: NLBGS 11 ; 0.0595427995 2.57348497e-07 NL: NLBGS 12 ; 0.0226253509 9.77884833e-08 NL: NLBGS 13 ; 0.00190636639 8.23946016e-09 NL: NLBGS 14 ; 0.000258035287 1.11524809e-09 NL: NLBGS 15 ; 0.000123859602 5.35330599e-10 NL: NLBGS 16 ; 7.74628497e-05 3.34800313e-10 NL: NLBGS 17 ; 5.47184967e-06 2.36497494e-11 NL: NLBGS 18 ; 1.34371336e-06 5.8076311e-12 NL: NLBGS 19 ; 5.38865202e-07 2.32901629e-12 NL: NLBGS 20 ; 5.39192259e-08 2.33042985e-13 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 1106121.73 1 NL: NLBGS 2 ; 1513563.38 1.36835155 NL: NLBGS 3 ; 74301.5364 0.0671730194 NL: NLBGS 4 ; 19720.9318 0.0178288982 NL: NLBGS 5 ; 5294.38173 0.00478643678 NL: NLBGS 6 ; 513.160087 0.000463927317 NL: NLBGS 7 ; 60.6480332 5.48294384e-05 NL: NLBGS 8 ; 28.4821347 2.57495481e-05 NL: NLBGS 9 ; 20.888531 1.88844776e-05 NL: NLBGS 10 ; 1.63338854 1.47668064e-06 NL: NLBGS 11 ; 0.359665284 3.25158863e-07 NL: NLBGS 12 ; 0.132307093 1.19613501e-07 NL: NLBGS 13 ; 0.0206409604 1.8660659e-08 NL: NLBGS 14 ; 0.00205446165 1.85735584e-09 NL: NLBGS 15 ; 0.000696833713 6.29979227e-10 NL: NLBGS 16 ; 0.000523934332 4.73667878e-10 NL: NLBGS 17 ; 5.3932125e-05 4.87578568e-11 NL: NLBGS 18 ; 1.41033535e-05 1.27502725e-11 NL: NLBGS 19 ; 3.97624273e-06 3.59476053e-12 NL: NLBGS 20 ; 4.79135082e-07 4.33166684e-13 NL: NLBGS 21 ; 1.03322773e-07 9.3409948e-14 NL: NLBGS 22 ; 5.6528473e-08 5.11051103e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 3068391.77 1 NL: NLBGS 2 ; 4174991.59 1.36064489 NL: NLBGS 3 ; 919552.839 0.299685603 NL: NLBGS 4 ; 91157.6081 0.0297085949 NL: NLBGS 5 ; 17979.2009 0.00585948674 NL: NLBGS 6 ; 3062.2674 0.000998004045 NL: NLBGS 7 ; 770.560272 0.000251128386 NL: NLBGS 8 ; 201.18644 6.556739e-05 NL: NLBGS 9 ; 45.2357673 1.47425005e-05 NL: NLBGS 10 ; 11.9128743 3.88244891e-06 NL: NLBGS 11 ; 0.382049259 1.24511238e-07 NL: NLBGS 12 ; 0.156114229 5.08781932e-08 NL: NLBGS 13 ; 0.0565311513 1.84237071e-08 NL: NLBGS 14 ; 0.0146690279 4.78068938e-09 NL: NLBGS 15 ; 0.00118202164 3.85225136e-10 NL: NLBGS 16 ; 0.000230276472 7.5047937e-11 NL: NLBGS 17 ; 4.923575e-05 1.60461094e-11 NL: NLBGS 18 ; 1.18668788e-05 3.86745883e-12 NL: NLBGS 19 ; 2.1956295e-06 7.15563613e-13 NL: NLBGS 20 ; 1.06782396e-06 3.48007699e-13 NL: NLBGS 21 ; 1.13285793e-07 3.69202506e-14 NL: NLBGS 22 ; 4.48553695e-08 1.46185275e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 2305451.69 1 NL: NLBGS 2 ; 3082351.38 1.33698372 NL: NLBGS 3 ; 247095.803 0.107178911 NL: NLBGS 4 ; 55764.319 0.0241880232 NL: NLBGS 5 ; 5465.22203 0.00237056454 NL: NLBGS 6 ; 2405.56307 0.00104342376 NL: NLBGS 7 ; 395.985943 0.000171760677 NL: NLBGS 8 ; 39.8323922 1.72774785e-05 NL: NLBGS 9 ; 11.2179315 4.86582803e-06 NL: NLBGS 10 ; 5.06076292 2.19512859e-06 NL: NLBGS 11 ; 0.440589326 1.91107594e-07 NL: NLBGS 12 ; 0.0619956675 2.68908985e-08 NL: NLBGS 13 ; 0.0239070352 1.03697836e-08 NL: NLBGS 14 ; 0.00579812021 2.51496061e-09 NL: NLBGS 15 ; 0.000481662364 2.08923208e-10 NL: NLBGS 16 ; 0.000123110852 5.33998837e-11 NL: NLBGS 17 ; 5.41828023e-05 2.35020332e-11 NL: NLBGS 18 ; 7.64990117e-06 3.3181789e-12 NL: NLBGS 19 ; 1.10469354e-06 4.7916577e-13 NL: NLBGS 20 ; 2.02458694e-07 8.78173653e-14 NL: NLBGS 21 ; 2.9458544e-08 1.27777754e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 2859960.77 1 NL: NLBGS 2 ; 3882062.97 1.3573833 NL: NLBGS 3 ; 812630.627 0.284140481 NL: NLBGS 4 ; 80718.1361 0.0282235117 NL: NLBGS 5 ; 23210.6752 0.00811573203 NL: NLBGS 6 ; 3265.70269 0.00114186975 NL: NLBGS 7 ; 815.152446 0.000285022248 NL: NLBGS 8 ; 262.595522 9.18178756e-05 NL: NLBGS 9 ; 49.8559573 1.7432392e-05 NL: NLBGS 10 ; 13.1924189 4.61279717e-06 NL: NLBGS 11 ; 2.5202635 8.81223103e-07 NL: NLBGS 12 ; 0.858626611 3.00223213e-07 NL: NLBGS 13 ; 0.186476738 6.52025511e-08 NL: NLBGS 14 ; 0.0705080731 2.46535106e-08 NL: NLBGS 15 ; 0.0114059184 3.98813808e-09 NL: NLBGS 16 ; 0.00324398836 1.13427723e-09 NL: NLBGS 17 ; 0.000304641924 1.06519616e-10 NL: NLBGS 18 ; 0.000105343387 3.68338573e-11 NL: NLBGS 19 ; 2.84618777e-05 9.95184203e-12 NL: NLBGS 20 ; 1.02815913e-05 3.59501131e-12 NL: NLBGS 21 ; 1.74616679e-06 6.10556206e-13 NL: NLBGS 22 ; 5.53817624e-07 1.93645182e-13 NL: NLBGS 23 ; 1.76828556e-07 6.18290148e-14 NL: NLBGS 24 ; 4.81203183e-08 1.68255169e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 2276873.28 1 NL: NLBGS 2 ; 3044342.38 1.3370715 NL: NLBGS 3 ; 241293.463 0.105975798 NL: NLBGS 4 ; 55402.0349 0.0243325069 NL: NLBGS 5 ; 5282.43844 0.00232004059 NL: NLBGS 6 ; 2157.14604 0.000947415939 NL: NLBGS 7 ; 338.916912 0.000148851899 NL: NLBGS 8 ; 34.6354621 1.52118532e-05 NL: NLBGS 9 ; 9.03520032 3.96824908e-06 NL: NLBGS 10 ; 4.1738966 1.83317035e-06 NL: NLBGS 11 ; 0.372718291 1.63697424e-07 NL: NLBGS 12 ; 0.0553799645 2.43228136e-08 NL: NLBGS 13 ; 0.0188031476 8.25831974e-09 NL: NLBGS 14 ; 0.00391937113 1.72138307e-09 NL: NLBGS 15 ; 0.00035743048 1.56983036e-10 NL: NLBGS 16 ; 6.70619675e-05 2.94535353e-11 NL: NLBGS 17 ; 3.9026466e-05 1.71403768e-11 NL: NLBGS 18 ; 5.66301665e-06 2.48719008e-12 NL: NLBGS 19 ; 8.31785075e-07 3.65319002e-13 NL: NLBGS 20 ; 2.01995179e-07 8.8716039e-14 NL: NLBGS 21 ; 3.45367452e-08 1.51684968e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 2626505.07 1 NL: NLBGS 2 ; 3572167.52 1.36004592 NL: NLBGS 3 ; 802162.556 0.305410625 NL: NLBGS 4 ; 68960.0813 0.0262554533 NL: NLBGS 5 ; 20444.846 0.0077840497 NL: NLBGS 6 ; 3008.37342 0.00114539029 NL: NLBGS 7 ; 783.229778 0.000298202271 NL: NLBGS 8 ; 240.931193 9.17307167e-05 NL: NLBGS 9 ; 51.5504072 1.9626997e-05 NL: NLBGS 10 ; 11.0241999 4.19728862e-06 NL: NLBGS 11 ; 1.96543192 7.4830692e-07 NL: NLBGS 12 ; 0.590938832 2.24990554e-07 NL: NLBGS 13 ; 0.158835431 6.0474062e-08 NL: NLBGS 14 ; 0.035103355 1.33650437e-08 NL: NLBGS 15 ; 0.00918849651 3.49837379e-09 NL: NLBGS 16 ; 0.00290380723 1.10557838e-09 NL: NLBGS 17 ; 0.000550428214 2.09566781e-10 NL: NLBGS 18 ; 6.72301951e-05 2.55968267e-11 NL: NLBGS 19 ; 9.66486726e-06 3.67974437e-12 NL: NLBGS 20 ; 2.02039897e-06 7.69234747e-13 NL: NLBGS 21 ; 2.96264361e-07 1.1279794e-13 NL: NLBGS 22 ; 7.72825263e-08 2.94240918e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 2085385.17 1 NL: NLBGS 2 ; 2783773.3 1.33489647 NL: NLBGS 3 ; 230629.67 0.11059332 NL: NLBGS 4 ; 52110.8099 0.024988578 NL: NLBGS 5 ; 5203.58137 0.00249526152 NL: NLBGS 6 ; 2058.43478 0.000987076542 NL: NLBGS 7 ; 247.685072 0.000118771858 NL: NLBGS 8 ; 29.7956705 1.428785e-05 NL: NLBGS 9 ; 7.99616441 3.83438251e-06 NL: NLBGS 10 ; 3.71236408 1.78018149e-06 NL: NLBGS 11 ; 0.334953457 1.60619468e-07 NL: NLBGS 12 ; 0.044572709 2.13738496e-08 NL: NLBGS 13 ; 0.016063263 7.70277991e-09 NL: NLBGS 14 ; 0.00374071516 1.79377662e-09 NL: NLBGS 15 ; 0.000339411054 1.6275701e-10 NL: NLBGS 16 ; 6.67458271e-05 3.20064745e-11 NL: NLBGS 17 ; 3.30961278e-05 1.58705108e-11 NL: NLBGS 18 ; 5.32963418e-06 2.55570734e-12 NL: NLBGS 19 ; 6.97118966e-07 3.3428787e-13 NL: NLBGS 20 ; 1.253672e-07 6.01170477e-14 NL: NLBGS 21 ; 1.83737924e-08 8.81074281e-15 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 1415054.57 1 NL: NLBGS 2 ; 1898318.13 1.34151585 NL: NLBGS 3 ; 234771.779 0.165910053 NL: NLBGS 4 ; 27859.4813 0.0196879201 NL: NLBGS 5 ; 6265.65293 0.00442785251 NL: NLBGS 6 ; 714.956177 0.000505249898 NL: NLBGS 7 ; 116.873225 8.25927332e-05 NL: NLBGS 8 ; 21.7636815 1.53801005e-05 NL: NLBGS 9 ; 3.20071956 2.26190539e-06 NL: NLBGS 10 ; 0.642310119 4.53911908e-07 NL: NLBGS 11 ; 0.126459906 8.93675117e-08 NL: NLBGS 12 ; 0.0324579868 2.2937622e-08 NL: NLBGS 13 ; 0.00394279102 2.78631729e-09 NL: NLBGS 14 ; 0.00112166163 7.92663161e-10 NL: NLBGS 15 ; 0.00015734371 1.1119268e-10 NL: NLBGS 16 ; 3.09129037e-05 2.18457326e-11 NL: NLBGS 17 ; 4.3751637e-06 3.09186924e-12 NL: NLBGS 18 ; 1.35352411e-06 9.56517252e-13 NL: NLBGS 19 ; 2.05659846e-07 1.45337043e-13 NL: NLBGS 20 ; 4.86539592e-08 3.43830975e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 1165600.31 1 NL: NLBGS 2 ; 1558200.88 1.33682264 NL: NLBGS 3 ; 116396.531 0.0998597291 NL: NLBGS 4 ; 26266.1245 0.0225344179 NL: NLBGS 5 ; 2470.19159 0.0021192441 NL: NLBGS 6 ; 822.679351 0.000705798843 NL: NLBGS 7 ; 93.9625319 8.06129948e-05 NL: NLBGS 8 ; 12.2024004 1.0468769e-05 NL: NLBGS 9 ; 2.12587579 1.82384627e-06 NL: NLBGS 10 ; 1.04521279 8.96716296e-07 NL: NLBGS 11 ; 0.104942059 9.00326276e-08 NL: NLBGS 12 ; 0.0177715201 1.52466673e-08 NL: NLBGS 13 ; 0.00455799292 3.91042528e-09 NL: NLBGS 14 ; 0.000667080219 5.72306144e-10 NL: NLBGS 15 ; 8.33078668e-05 7.14720697e-11 NL: NLBGS 16 ; 9.35943685e-06 8.02971375e-12 NL: NLBGS 17 ; 2.37167572e-06 2.03472468e-12 NL: NLBGS 18 ; 1.18801108e-06 1.0192268e-12 NL: NLBGS 19 ; 1.13217352e-07 9.71322256e-14 NL: NLBGS 20 ; 2.61854741e-08 2.24652257e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 748023.952 1 NL: NLBGS 2 ; 1002770.96 1.34055996 NL: NLBGS 3 ; 83232.0379 0.111269215 NL: NLBGS 4 ; 14241.6623 0.0190390458 NL: NLBGS 5 ; 2492.33963 0.00333189816 NL: NLBGS 6 ; 386.605401 0.000516835591 NL: NLBGS 7 ; 47.8104682 6.39156916e-05 NL: NLBGS 8 ; 8.29756013 1.10926396e-05 NL: NLBGS 9 ; 0.970993373 1.29807792e-06 NL: NLBGS 10 ; 0.191491713 2.55996767e-07 NL: NLBGS 11 ; 0.0222199331 2.97048417e-08 NL: NLBGS 12 ; 0.00339848738 4.54328684e-09 NL: NLBGS 13 ; 0.000455686032 6.09186418e-10 NL: NLBGS 14 ; 0.000100304345 1.34092425e-10 NL: NLBGS 15 ; 1.22499406e-05 1.63764016e-11 NL: NLBGS 16 ; 1.30970166e-06 1.75088199e-12 NL: NLBGS 17 ; 2.93136914e-07 3.91881722e-13 NL: NLBGS 18 ; 8.90521039e-08 1.19049803e-13 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 502281.116 1 NL: NLBGS 2 ; 671686.401 1.33727186 NL: NLBGS 3 ; 48848.6336 0.0972535739 NL: NLBGS 4 ; 10644.5873 0.0211924896 NL: NLBGS 5 ; 1111.67374 0.00221325012 NL: NLBGS 6 ; 295.585999 0.000588487183 NL: NLBGS 7 ; 27.9909159 5.57275897e-05 NL: NLBGS 8 ; 4.48555313 8.93036388e-06 NL: NLBGS 9 ; 0.659979326 1.31396404e-06 NL: NLBGS 10 ; 0.21902616 4.360629e-07 NL: NLBGS 11 ; 0.0229194 4.56306226e-08 NL: NLBGS 12 ; 0.00225307164 4.48567858e-09 NL: NLBGS 13 ; 0.000743045673 1.47934224e-09 NL: NLBGS 14 ; 0.000228708329 4.55339294e-10 NL: NLBGS 15 ; 2.29524866e-05 4.56964952e-11 NL: NLBGS 16 ; 2.46227353e-06 4.90218217e-12 NL: NLBGS 17 ; 1.16510834e-06 2.31963397e-12 NL: NLBGS 18 ; 1.29410819e-07 2.57646197e-13 NL: NLBGS 19 ; 1.90271482e-08 3.78814724e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 190569.711 1 NL: NLBGS 2 ; 254981.881 1.33799794 NL: NLBGS 3 ; 29410.1424 0.154327476 NL: NLBGS 4 ; 2737.29815 0.014363763 NL: NLBGS 5 ; 570.148064 0.00299180842 NL: NLBGS 6 ; 127.881523 0.000671048526 NL: NLBGS 7 ; 14.0462654 7.37067047e-05 NL: NLBGS 8 ; 1.15632639 6.06773439e-06 NL: NLBGS 9 ; 0.365274235 1.91674865e-06 NL: NLBGS 10 ; 0.0829301201 4.35169471e-07 NL: NLBGS 11 ; 0.00811411383 4.25781926e-08 NL: NLBGS 12 ; 0.00128521288 6.74405643e-09 NL: NLBGS 13 ; 0.000223870345 1.17474254e-09 NL: NLBGS 14 ; 2.90163519e-05 1.5226109e-10 NL: NLBGS 15 ; 3.76924642e-06 1.97788327e-11 NL: NLBGS 16 ; 9.99071335e-07 5.24255052e-12 NL: NLBGS 17 ; 1.07292839e-07 5.6301098e-13 NL: NLBGS 18 ; 1.32785786e-08 6.9678327e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 205063.806 1 NL: NLBGS 2 ; 282899.296 1.37956718 NL: NLBGS 3 ; 15550.9158 0.0758345223 NL: NLBGS 4 ; 2881.26278 0.0140505671 NL: NLBGS 5 ; 379.003053 0.00184822012 NL: NLBGS 6 ; 40.1512905 0.000195799011 NL: NLBGS 7 ; 3.4343542 1.67477346e-05 NL: NLBGS 8 ; 0.684766346 3.33928429e-06 NL: NLBGS 9 ; 0.168578406 8.22077815e-07 NL: NLBGS 10 ; 0.0158528311 7.73068218e-08 NL: NLBGS 11 ; 0.00161306262 7.86614978e-09 NL: NLBGS 12 ; 0.000315273175 1.5374394e-09 NL: NLBGS 13 ; 4.11517636e-05 2.00677849e-10 NL: NLBGS 14 ; 2.41471709e-06 1.17754427e-11 NL: NLBGS 15 ; 7.73099337e-07 3.77004285e-12 NL: NLBGS 16 ; 9.71393684e-08 4.73703137e-13 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 167833.485 1 NL: NLBGS 2 ; 233270.014 1.38988959 NL: NLBGS 3 ; 17903.8465 0.106676248 NL: NLBGS 4 ; 2136.05555 0.012727231 NL: NLBGS 5 ; 243.875058 0.00145307748 NL: NLBGS 6 ; 26.4634176 0.000157676625 NL: NLBGS 7 ; 1.90213316 1.13334544e-05 NL: NLBGS 8 ; 0.299359232 1.78366809e-06 NL: NLBGS 9 ; 0.0697265713 4.15450893e-07 NL: NLBGS 10 ; 0.00714786292 4.25890155e-08 NL: NLBGS 11 ; 0.000431959651 2.57373938e-09 NL: NLBGS 12 ; 0.00011817184 7.04101687e-10 NL: NLBGS 13 ; 1.46463776e-05 8.72673145e-11 NL: NLBGS 14 ; 6.66269462e-07 3.96982438e-12 NL: NLBGS 15 ; 1.86138225e-07 1.10906488e-12 NL: NLBGS 16 ; 3.94619043e-08 2.35125334e-13 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 236679.875 1 NL: NLBGS 2 ; 329164.226 1.39075714 NL: NLBGS 3 ; 25938.0054 0.10959109 NL: NLBGS 4 ; 2768.50203 0.0116972431 NL: NLBGS 5 ; 257.570067 0.00108826349 NL: NLBGS 6 ; 27.5474691 0.000116391261 NL: NLBGS 7 ; 2.01997174 8.53461553e-06 NL: NLBGS 8 ; 0.229893719 9.71327702e-07 NL: NLBGS 9 ; 0.0438032514 1.85073832e-07 NL: NLBGS 10 ; 0.00446660069 1.88719074e-08 NL: NLBGS 11 ; 0.00023193752 9.79963e-10 NL: NLBGS 12 ; 6.03509789e-05 2.54989905e-10 NL: NLBGS 13 ; 8.1067472e-06 3.42519498e-11 NL: NLBGS 14 ; 3.79567307e-07 1.60371602e-12 NL: NLBGS 15 ; 9.88962772e-08 4.17848274e-13 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 226068.888 1 NL: NLBGS 2 ; 314521.931 1.39126589 NL: NLBGS 3 ; 25964.2458 0.114851035 NL: NLBGS 4 ; 2554.64066 0.0113002753 NL: NLBGS 5 ; 205.453523 0.00090880937 NL: NLBGS 6 ; 21.6755974 9.58804976e-05 NL: NLBGS 7 ; 1.5957806 7.05882451e-06 NL: NLBGS 8 ; 0.145715339 6.44561668e-07 NL: NLBGS 9 ; 0.0238555402 1.05523323e-07 NL: NLBGS 10 ; 0.00237695421 1.05142916e-08 NL: NLBGS 11 ; 0.000127119263 5.6230322e-10 NL: NLBGS 12 ; 2.83777007e-05 1.25526785e-10 NL: NLBGS 13 ; 3.87060968e-06 1.71213727e-11 NL: NLBGS 14 ; 1.95041455e-07 8.62752309e-13 NL: NLBGS 15 ; 5.47815504e-08 2.42322378e-13 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 267216.9 1 NL: NLBGS 2 ; 371885.917 1.39170059 NL: NLBGS 3 ; 33744.8917 0.126282775 NL: NLBGS 4 ; 2994.02542 0.0112044763 NL: NLBGS 5 ; 215.887071 0.000807909496 NL: NLBGS 6 ; 22.2152977 8.31358261e-05 NL: NLBGS 7 ; 1.61611875 6.04796609e-06 NL: NLBGS 8 ; 0.12343194 4.61916669e-07 NL: NLBGS 9 ; 0.0174454979 6.52859081e-08 NL: NLBGS 10 ; 0.00166439827 6.22864149e-09 NL: NLBGS 11 ; 0.000100516354 3.76160167e-10 NL: NLBGS 12 ; 1.78204463e-05 6.66890692e-11 NL: NLBGS 13 ; 2.25033998e-06 8.42139842e-12 NL: NLBGS 14 ; 1.05969093e-07 3.96565834e-13 NL: NLBGS 15 ; 1.44245168e-08 5.39805561e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 376124.656 1 NL: NLBGS 2 ; 523210.394 1.39105582 NL: NLBGS 3 ; 55489.4207 0.147529336 NL: NLBGS 4 ; 4078.77844 0.0108442198 NL: NLBGS 5 ; 280.397766 0.000745491585 NL: NLBGS 6 ; 27.3810413 7.27977835e-05 NL: NLBGS 7 ; 1.92131536 5.10818773e-06 NL: NLBGS 8 ; 0.123898094 3.29406998e-07 NL: NLBGS 9 ; 0.0131114547 3.48593333e-08 NL: NLBGS 10 ; 0.00101941476 2.71031092e-09 NL: NLBGS 11 ; 7.36113541e-05 1.95709994e-10 NL: NLBGS 12 ; 6.51700902e-06 1.73267264e-11 NL: NLBGS 13 ; 4.53034717e-07 1.20448024e-12 NL: NLBGS 14 ; 5.92034186e-08 1.57403716e-13 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 608192.872 1 NL: NLBGS 2 ; 843297.883 1.38656325 NL: NLBGS 3 ; 112600.801 0.185139954 NL: NLBGS 4 ; 5437.66782 0.00894069638 NL: NLBGS 5 ; 471.460619 0.000775182743 NL: NLBGS 6 ; 44.1050623 7.25182164e-05 NL: NLBGS 7 ; 3.05806985 5.0281251e-06 NL: NLBGS 8 ; 0.317653102 5.22290077e-07 NL: NLBGS 9 ; 0.0462342173 7.60190054e-08 NL: NLBGS 10 ; 0.0048236166 7.93106401e-09 NL: NLBGS 11 ; 0.000527969229 8.68095062e-10 NL: NLBGS 12 ; 7.52272376e-05 1.23689772e-10 NL: NLBGS 13 ; 2.32732707e-06 3.82662668e-12 NL: NLBGS 14 ; 2.78387813e-07 4.57729489e-13 NL: NLBGS 15 ; 3.23963888e-08 5.32666368e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 785411.511 1 NL: NLBGS 2 ; 1074251.18 1.36775583 NL: NLBGS 3 ; 164977.679 0.210052535 NL: NLBGS 4 ; 35876.6448 0.0456787865 NL: NLBGS 5 ; 7075.35162 0.00900846438 NL: NLBGS 6 ; 636.178748 0.000809994174 NL: NLBGS 7 ; 164.163424 0.000209015811 NL: NLBGS 8 ; 99.9361301 0.00012724047 NL: NLBGS 9 ; 16.2225666 2.06548623e-05 NL: NLBGS 10 ; 1.58637744 2.01980416e-06 NL: NLBGS 11 ; 0.644996154 8.21220653e-07 NL: NLBGS 12 ; 0.108043977 1.37563527e-07 NL: NLBGS 13 ; 0.0264509441 3.36778157e-08 NL: NLBGS 14 ; 0.00355528088 4.52664728e-09 NL: NLBGS 15 ; 0.0016942286 2.15712219e-09 NL: NLBGS 16 ; 0.000393560158 5.0108784e-10 NL: NLBGS 17 ; 7.16899258e-05 9.12768972e-11 NL: NLBGS 18 ; 7.53306535e-06 9.5912337e-12 NL: NLBGS 19 ; 1.54703941e-06 1.96971828e-12 NL: NLBGS 20 ; 4.73074401e-07 6.02326799e-13 NL: NLBGS 21 ; 7.15883936e-08 9.11476246e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 161710.975 1 NL: NLBGS 2 ; 225205.432 1.39264161 NL: NLBGS 3 ; 25446.863 0.157360149 NL: NLBGS 4 ; 3338.23543 0.0206432212 NL: NLBGS 5 ; 914.400249 0.00565453427 NL: NLBGS 6 ; 103.06815 0.000637360266 NL: NLBGS 7 ; 23.8026686 0.00014719266 NL: NLBGS 8 ; 2.96193893 1.83162518e-05 NL: NLBGS 9 ; 0.771479702 4.77073188e-06 NL: NLBGS 10 ; 0.112592929 6.96260281e-07 NL: NLBGS 11 ; 0.00966252037 5.9751791e-08 NL: NLBGS 12 ; 0.00361039086 2.23261956e-08 NL: NLBGS 13 ; 0.00167634367 1.0366295e-08 NL: NLBGS 14 ; 0.000263008291 1.62640966e-09 NL: NLBGS 15 ; 3.31877641e-05 2.05228892e-10 NL: NLBGS 16 ; 1.17399756e-05 7.25985085e-11 NL: NLBGS 17 ; 2.91418079e-06 1.80209216e-11 NL: NLBGS 18 ; 3.59163812e-07 2.22102311e-12 NL: NLBGS 19 ; 1.01948062e-07 6.30433786e-13 NL: NLBGS 20 ; 1.46293007e-08 9.04657261e-14 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 198172.536 1 NL: NLBGS 2 ; 276080.745 1.39313322 NL: NLBGS 3 ; 36153.6273 0.182435104 NL: NLBGS 4 ; 4316.1075 0.0217795441 NL: NLBGS 5 ; 1311.81257 0.00661954778 NL: NLBGS 6 ; 156.528689 0.000789860654 NL: NLBGS 7 ; 33.6692723 0.000169898781 NL: NLBGS 8 ; 3.56216625 1.79750752e-05 NL: NLBGS 9 ; 1.09381799 5.51952358e-06 NL: NLBGS 10 ; 0.556221534 2.80675387e-06 NL: NLBGS 11 ; 0.0735723973 3.71254254e-07 NL: NLBGS 12 ; 0.0105649292 5.33117727e-08 NL: NLBGS 13 ; 0.00329498028 1.6626826e-08 NL: NLBGS 14 ; 0.00058791033 2.96665895e-09 NL: NLBGS 15 ; 3.56362207e-05 1.79824214e-10 NL: NLBGS 16 ; 1.65042189e-05 8.32820694e-11 NL: NLBGS 17 ; 1.10054862e-05 5.55348707e-11 NL: NLBGS 18 ; 1.54244481e-06 7.78334295e-12 NL: NLBGS 19 ; 1.86471396e-07 9.40954784e-13 NL: NLBGS 20 ; 7.34500172e-08 3.70636711e-13 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 12128.0352 1 NL: NLBGS 2 ; 16876.8002 1.39155271 NL: NLBGS 3 ; 2353.80129 0.194079359 NL: NLBGS 4 ; 269.539313 0.0222244831 NL: NLBGS 5 ; 82.5324065 0.00680509295 NL: NLBGS 6 ; 12.4151744 0.00102367566 NL: NLBGS 7 ; 2.24962336 0.000185489515 NL: NLBGS 8 ; 0.332773665 2.74383823e-05 NL: NLBGS 9 ; 0.0790721303 6.51978077e-06 NL: NLBGS 10 ; 0.0339098924 2.79599226e-06 NL: NLBGS 11 ; 0.00439349525 3.62259443e-07 NL: NLBGS 12 ; 0.000707733597 5.83551736e-08 NL: NLBGS 13 ; 0.000199245746 1.64285265e-08 NL: NLBGS 14 ; 3.48951538e-05 2.87723059e-09 NL: NLBGS 15 ; 2.24650759e-06 1.85232609e-10 NL: NLBGS 16 ; 1.2510748e-06 1.03155605e-10 NL: NLBGS 17 ; 4.89760738e-07 4.03825295e-11 NL: NLBGS 18 ; 5.23682547e-08 4.31795043e-12 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 402.994881 1 NL: NLBGS 2 ; 560.768764 1.39150344 NL: NLBGS 3 ; 70.1487165 0.174068505 NL: NLBGS 4 ; 9.62057244 0.0238726914 NL: NLBGS 5 ; 2.76141879 0.00685224284 NL: NLBGS 6 ; 0.343123853 0.000851434768 NL: NLBGS 7 ; 0.0683439281 0.000169590065 NL: NLBGS 8 ; 0.0143729256 3.56652808e-05 NL: NLBGS 9 ; 0.00176770461 4.3864195e-06 NL: NLBGS 10 ; 0.00056859806 1.41093122e-06 NL: NLBGS 11 ; 8.25739482e-05 2.04900737e-07 NL: NLBGS 12 ; 6.49170048e-06 1.61086425e-08 NL: NLBGS 13 ; 2.87597829e-06 7.1365132e-09 NL: NLBGS 14 ; 1.40185692e-06 3.47859735e-09 NL: NLBGS 15 ; 2.2042046e-07 5.46955979e-10 NL: NLBGS 16 ; 4.18561816e-08 1.03862812e-10 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 358.06785 1 NL: NLBGS 2 ; 494.93508 1.38223826 NL: NLBGS 3 ; 49.2032136 0.137413101 NL: NLBGS 4 ; 15.941309 0.0445203583 NL: NLBGS 5 ; 2.44724567 0.00683458645 NL: NLBGS 6 ; 0.502053217 0.00140211755 NL: NLBGS 7 ; 0.0724276015 0.0002022734 NL: NLBGS 8 ; 0.0272758185 7.61750001e-05 NL: NLBGS 9 ; 0.00407333238 1.13758674e-05 NL: NLBGS 10 ; 0.000366798964 1.02438396e-06 NL: NLBGS 11 ; 0.000183424245 5.1226114e-07 NL: NLBGS 12 ; 3.09697915e-05 8.64914053e-08 NL: NLBGS 13 ; 4.9196281e-06 1.3739374e-08 NL: NLBGS 14 ; 1.70856904e-06 4.77163489e-09 NL: NLBGS 15 ; 2.7343332e-07 7.63635495e-10 NL: NLBGS 16 ; 2.0696527e-08 5.78005734e-11 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 597.801042 1 NL: NLBGS 2 ; 811.101901 1.35680911 NL: NLBGS 3 ; 165.087411 0.276157783 NL: NLBGS 4 ; 56.2269285 0.0940562571 NL: NLBGS 5 ; 17.2274128 0.0288179704 NL: NLBGS 6 ; 2.45585873 0.00410815397 NL: NLBGS 7 ; 0.366749408 0.000613497438 NL: NLBGS 8 ; 0.136923562 0.000229045372 NL: NLBGS 9 ; 0.0263428533 4.40662552e-05 NL: NLBGS 10 ; 0.00241229709 4.03528418e-06 NL: NLBGS 11 ; 0.00102129407 1.70841802e-06 NL: NLBGS 12 ; 0.000202909618 3.39426671e-07 NL: NLBGS 13 ; 3.75111354e-05 6.27485279e-08 NL: NLBGS 14 ; 6.50914816e-06 1.08884858e-08 NL: NLBGS 15 ; 2.72812185e-06 4.563595e-09 NL: NLBGS 16 ; 6.82490706e-07 1.14166864e-09 NL: NLBGS 17 ; 1.26051056e-07 2.10857872e-10 NL: NLBGS 18 ; 8.88422049e-09 1.48615005e-11 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 2627.04709 1 NL: NLBGS 2 ; 3569.87543 1.35889282 NL: NLBGS 3 ; 863.214544 0.328587388 NL: NLBGS 4 ; 223.899681 0.0852286515 NL: NLBGS 5 ; 82.4987147 0.0314035919 NL: NLBGS 6 ; 12.4118817 0.0047246514 NL: NLBGS 7 ; 1.41324081 0.000537957927 NL: NLBGS 8 ; 0.740687127 0.00028194665 NL: NLBGS 9 ; 0.122913992 4.67878907e-05 NL: NLBGS 10 ; 0.0104685606 3.98491546e-06 NL: NLBGS 11 ; 0.0051695879 1.96783221e-06 NL: NLBGS 12 ; 0.000815059355 3.1025685e-07 NL: NLBGS 13 ; 9.23882283e-05 3.51680899e-08 NL: NLBGS 14 ; 4.19621176e-05 1.59731121e-08 NL: NLBGS 15 ; 6.02375994e-06 2.29297752e-09 NL: NLBGS 16 ; 5.90847196e-07 2.24909252e-10 NL: NLBGS 17 ; 2.93757286e-07 1.11820335e-10 NL: NLBGS 18 ; 6.8940038e-08 2.62424066e-11 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 12987.0497 1 NL: NLBGS 2 ; 17667.4909 1.36039296 NL: NLBGS 3 ; 4331.44526 0.333520342 NL: NLBGS 4 ; 1067.11778 0.0821678364 NL: NLBGS 5 ; 409.343144 0.0315193329 NL: NLBGS 6 ; 62.1176191 0.00478304314 NL: NLBGS 7 ; 6.52296291 0.000502266724 NL: NLBGS 8 ; 3.49469227 0.000269090544 NL: NLBGS 9 ; 0.536107904 4.12801919e-05 NL: NLBGS 10 ; 0.0444787637 3.42485512e-06 NL: NLBGS 11 ; 0.0264832114 2.03920151e-06 NL: NLBGS 12 ; 0.00428715437 3.30109953e-07 NL: NLBGS 13 ; 0.000415154827 3.19668313e-08 NL: NLBGS 14 ; 0.00021992535 1.69342041e-08 NL: NLBGS 15 ; 3.7375493e-05 2.87790482e-09 NL: NLBGS 16 ; 2.46739764e-06 1.89989081e-10 NL: NLBGS 17 ; 1.3415844e-06 1.03301707e-10 NL: NLBGS 18 ; 4.3573496e-07 3.3551497e-11 NL: NLBGS 19 ; 6.8548421e-08 5.27821349e-12 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 63434.4715 1 NL: NLBGS 2 ; 86296.0887 1.36039738 NL: NLBGS 3 ; 21133.7378 0.33315857 NL: NLBGS 4 ; 5197.75953 0.0819390374 NL: NLBGS 5 ; 1996.03514 0.0314660955 NL: NLBGS 6 ; 302.165235 0.00476342323 NL: NLBGS 7 ; 31.4598159 0.000495941956 NL: NLBGS 8 ; 16.8219477 0.00026518622 NL: NLBGS 9 ; 2.53114734 3.99017645e-05 NL: NLBGS 10 ; 0.216082383 3.40638738e-06 NL: NLBGS 11 ; 0.129564088 2.04248707e-06 NL: NLBGS 12 ; 0.0206507336 3.25544347e-07 NL: NLBGS 13 ; 0.00199843823 3.15039785e-08 NL: NLBGS 14 ; 0.00107798801 1.69937256e-08 NL: NLBGS 15 ; 0.000191593437 3.02033629e-09 NL: NLBGS 16 ; 1.31308215e-05 2.06998202e-10 NL: NLBGS 17 ; 6.95867553e-06 1.09698644e-10 NL: NLBGS 18 ; 1.7321866e-06 2.73067082e-11 NL: NLBGS 19 ; 2.29541777e-07 3.61856529e-12 NL: NLBGS 20 ; 6.14892197e-08 9.69334468e-13 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 282068.848 1 NL: NLBGS 2 ; 383394.674 1.35922374 NL: NLBGS 3 ; 92568.0451 0.328175358 NL: NLBGS 4 ; 23455.5405 0.083155374 NL: NLBGS 5 ; 8833.7906 0.0313178526 NL: NLBGS 6 ; 1314.23207 0.00465925989 NL: NLBGS 7 ; 139.218687 0.000493562787 NL: NLBGS 8 ; 73.2970899 0.000259855317 NL: NLBGS 9 ; 10.7455073 3.80953351e-05 NL: NLBGS 10 ; 0.954167748 3.38274771e-06 NL: NLBGS 11 ; 0.555507124 1.96940261e-06 NL: NLBGS 12 ; 0.0894812114 3.17231811e-07 NL: NLBGS 13 ; 0.00931942428 3.30395376e-08 NL: NLBGS 14 ; 0.0048599605 1.7229696e-08 NL: NLBGS 15 ; 0.000933077843 3.30797907e-09 NL: NLBGS 16 ; 6.67744956e-05 2.36731196e-10 NL: NLBGS 17 ; 3.00745088e-05 1.06621164e-10 NL: NLBGS 18 ; 6.16706082e-06 2.18636722e-11 NL: NLBGS 19 ; 9.51360605e-07 3.37279573e-12 NL: NLBGS 20 ; 2.50098951e-07 8.86659243e-13 NL: NLBGS 21 ; 5.32877412e-08 1.88917499e-13 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 247637.821 1 NL: NLBGS 2 ; 336460.36 1.35867921 NL: NLBGS 3 ; 80715.9055 0.325943368 NL: NLBGS 4 ; 20795.8173 0.0839767413 NL: NLBGS 5 ; 7841.35671 0.0316646168 NL: NLBGS 6 ; 1151.31405 0.00464918504 NL: NLBGS 7 ; 121.531624 0.00049076358 NL: NLBGS 8 ; 63.7306242 0.000257354163 NL: NLBGS 9 ; 9.15653542 3.69755128e-05 NL: NLBGS 10 ; 0.893820331 3.60938538e-06 NL: NLBGS 11 ; 0.49421172 1.99570372e-06 NL: NLBGS 12 ; 0.0756009943 3.05288562e-07 NL: NLBGS 13 ; 0.00780555292 3.15200355e-08 NL: NLBGS 14 ; 0.00421065676 1.70032862e-08 NL: NLBGS 15 ; 0.000723539958 2.92176677e-09 NL: NLBGS 16 ; 5.5705569e-05 2.24947743e-10 NL: NLBGS 17 ; 2.80311773e-05 1.13194249e-10 NL: NLBGS 18 ; 5.15617069e-06 2.08214184e-11 NL: NLBGS 19 ; 6.7619242e-07 2.73057006e-12 NL: NLBGS 20 ; 2.45726907e-07 9.9228343e-13 NL: NLBGS 21 ; 3.23142866e-08 1.3049011e-13 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 2741.68026 1 NL: NLBGS 2 ; 3755.06501 1.36962178 NL: NLBGS 3 ; 939.923361 0.34282749 NL: NLBGS 4 ; 155.856395 0.0568470354 NL: NLBGS 5 ; 83.427472 0.0304293222 NL: NLBGS 6 ; 12.6636334 0.00461893154 NL: NLBGS 7 ; 1.36323854 0.000497227398 NL: NLBGS 8 ; 0.535225593 0.000195218093 NL: NLBGS 9 ; 0.13776091 5.02468913e-05 NL: NLBGS 10 ; 0.0240064563 8.75611087e-06 NL: NLBGS 11 ; 0.00341769692 1.2465702e-06 NL: NLBGS 12 ; 0.00153533864 5.59999158e-07 NL: NLBGS 13 ; 0.000219958301 8.02275539e-08 NL: NLBGS 14 ; 2.23192435e-05 8.14071713e-09 NL: NLBGS 15 ; 9.65158579e-06 3.52031779e-09 NL: NLBGS 16 ; 1.62519565e-06 5.92773589e-10 NL: NLBGS 17 ; 3.23730469e-07 1.18077397e-10 NL: NLBGS 18 ; 7.40883503e-08 2.70229725e-11 NL: NLBGS Converged ================== AS_point_0.coupled ================== NL: NLBGS 1 ; 267.481946 1 NL: NLBGS 2 ; 373.566684 1.39660523 NL: NLBGS 3 ; 56.6413585 0.211757688 NL: NLBGS 4 ; 6.18836756 0.0231356458 NL: NLBGS 5 ; 2.18620179 0.00817326859 NL: NLBGS 6 ; 0.286694651 0.00107182804 NL: NLBGS 7 ; 0.0340437987 0.000127275128 NL: NLBGS 8 ; 0.0121480624 4.54163827e-05 NL: NLBGS 9 ; 0.0043965188 1.64366937e-05 NL: NLBGS 10 ; 0.000622346589 2.32668634e-06 NL: NLBGS 11 ; 0.000104373875 3.90209048e-07 NL: NLBGS 12 ; 2.87007427e-05 1.07299738e-07 NL: NLBGS 13 ; 5.95742134e-06 2.22722372e-08 NL: NLBGS 14 ; 8.95835108e-07 3.34914234e-09 NL: NLBGS 15 ; 2.68357727e-07 1.00327417e-09 NL: NLBGS 16 ; 3.78303673e-08 1.4143148e-10 NL: NLBGS Converged Optimization terminated successfully (Exit mode 0) Current function value: 0.9236979279575821 Iterations: 39 Function evaluations: 44 Gradient evaluations: 39 Optimization Complete -----------------------------------
print(prob["AS_point_0.fuelburn"][0])
92369.7927957582