diff --git a/BayesValidRox/tests/PA-A/data/NumErrorCalib_stokesdarcy_BJ_squared_inclusion_topInflow.csv b/BayesValidRox/tests/PA-A/data/NumErrorCalib_stokesdarcy_BJ_squared_inclusion_topInflow.csv
deleted file mode 100644
index 0f94b3032be05d60b82b704de09daad328d6b1e9..0000000000000000000000000000000000000000
--- a/BayesValidRox/tests/PA-A/data/NumErrorCalib_stokesdarcy_BJ_squared_inclusion_topInflow.csv
+++ /dev/null
@@ -1,11 +0,0 @@
-Point ID,velocity [m/s],p
-213477,-7.99168984454491E-09,-0.000982599607875
-213877,-1.25322435800991E-08,-0.000981008114584
-289534,-1.75902788004847E-08,-0.000735259737966
-291183,-1.53244800256233E-08,
-368496,1.76964889282588E-11,
-369920,7.67962988819599E-08,
-411549,9.40582735288358E-10,
-412975,-2.30430534181999E-08,
-456893,-0.000216294276588,
-464705,-0.000340205463516,
diff --git a/BayesValidRox/tests/PA-A/data/NumErrorValid_stokesdarcy_BJ_squared_inclusion_topInflow.csv b/BayesValidRox/tests/PA-A/data/NumErrorValid_stokesdarcy_BJ_squared_inclusion_topInflow.csv
deleted file mode 100644
index 511b512bafc9a63e707aa452120a1741b6722909..0000000000000000000000000000000000000000
--- a/BayesValidRox/tests/PA-A/data/NumErrorValid_stokesdarcy_BJ_squared_inclusion_topInflow.csv
+++ /dev/null
@@ -1,11 +0,0 @@
-Point ID,velocity [m/s],p
-211000,-1.14144932501225E-08,-0.000981682044621
-213679,-1.1391355774302E-08,-0.000318457648859
-288307,-1.63615989472227E-08,
-290985,-1.07296116973161E-08,
-369720,6.99090459325928E-08,
-371144,7.24407899641595E-08,
-409300,1.28265959204107E-07,
-412777,5.02264860992474E-08,
-456693,-0.000161688485209,
-458121,-0.000163662170925,
diff --git a/BayesValidRox/tests/PA-A/data/NumErrorValid_stokesdarcy_ER_squared_inclusion_topInflow.csv b/BayesValidRox/tests/PA-A/data/NumErrorValid_stokesdarcy_ER_squared_inclusion_topInflow.csv
deleted file mode 100644
index c320922c44a17c1507a4ed4a34c67a1b9e3405cb..0000000000000000000000000000000000000000
--- a/BayesValidRox/tests/PA-A/data/NumErrorValid_stokesdarcy_ER_squared_inclusion_topInflow.csv
+++ /dev/null
@@ -1,11 +0,0 @@
-Point ID,velocity [m/s],p
-211000,-1.35204877947257E-08,-0.000972888929549
-213679,-1.35925998676384E-08,-0.000313149008752
-288307,-1.95703951994219E-08,
-290985,-1.28322355358977E-08,
-369720,3.09326433956953E-08,
-371144,3.03024310607163E-08,
-409300,8.52360819585299E-08,
-412777,1.78955930072738E-07,
-456693,-0.000110803330484,
-458121,-0.000113329909972,
diff --git a/BayesValidRox/tests/PA-A/data/NumErrorValid_stokespnmNA_squared_inclusion_topInflow.csv b/BayesValidRox/tests/PA-A/data/NumErrorValid_stokespnmNA_squared_inclusion_topInflow.csv
index 51e1bba18eda1c2334a84865481d7e052e043937..ef5b017ae1b7577d50eb86537a7296d56cc9333e 100644
--- a/BayesValidRox/tests/PA-A/data/NumErrorValid_stokespnmNA_squared_inclusion_topInflow.csv
+++ b/BayesValidRox/tests/PA-A/data/NumErrorValid_stokespnmNA_squared_inclusion_topInflow.csv
@@ -1,11 +1,11 @@
Point ID,velocity [m/s],p
-211000,-1.95698497768359E-08,-0.001081309998154
-213679,-1.76562901084718E-08,-0.003334255206541
-288307,-1.00169472938893E-09,
-290985,-8.78789471014961E-09,
-369720,3.93366988473439E-08,
-371144,-3.40723976215103E-08,
-409300,0.00012032269061,
-412777,0.000285098592705,
-456693,-1.82414712987961E-05,
-458121,1.1252061553491E-05,
+211000,-1.26417493426727E-08,-0.001081309998154
+213679,-3.20328803516409E-09,-0.003334255206541
+288307,-2.89170189700199E-08,
+290985,-1.92071020496559E-07,
+369720,-1.41164321237415E-08,
+371144,-5.6817166563434E-08,
+409300,9.29546215127297E-07,
+412777,0.011582016211602,
+456693,-1.03189776882748E-05,
+458121,-1.83417710038808E-05,
diff --git a/BayesValidRox/tests/PA-A/models/numError/NumericalError.py b/BayesValidRox/tests/PA-A/models/numError/NumericalError.py
index 7aa1c60da8225834d1949cf4e2550014c368af8d..85f684a75fc9352b758c14dc80ef961d01006dd0 100755
--- a/BayesValidRox/tests/PA-A/models/numError/NumericalError.py
+++ b/BayesValidRox/tests/PA-A/models/numError/NumericalError.py
@@ -11,244 +11,247 @@ Created on Mon Feb 10 14:15:21 2020
$g_p$: error term cofficient of p-order
@author: farid
"""
-import warnings
-warnings.filterwarnings("ignore")
-
import numpy as np
-import os, sys
+import os
import pandas as pd
from scipy import stats
from scipy import optimize
-from sklearn.metrics import mean_squared_error
import matplotlib
-matplotlib.use('agg')
+import warnings
+from sklearn.metrics import mean_squared_error
import matplotlib.pyplot as plt
plt.rcParams.update({'font.size': 20})
-plt.rc('figure', figsize = (24, 16))
+plt.rc('figure', figsize=(24, 16))
plt.rc('font', family='serif', serif='Arial')
-plt.rc('axes', grid = True)
-plt.rc('text', usetex=True)
+plt.rc('axes', grid=True)
+plt.rc('text', usetex=False)
plt.rc('xtick', labelsize=20)
plt.rc('ytick', labelsize=20)
plt.rc('axes', labelsize=20)
+matplotlib.use('agg')
+warnings.filterwarnings("ignore")
-def list_files(path):
- r = []
- subdirs = [x[0] for x in os.walk(path)]
- for subdir in subdirs:
- files = os.walk(subdir).__next__()[2]
- if (len(files) > 0):
+def list_files(path):
+ r = []
+ subdirs = [x[0] for x in os.walk(path)]
+ for subdir in subdirs:
+ files = os.walk(subdir).__next__()[2]
+ if len(files) > 0:
for file in files:
- if file.endswith('.csv'):
- r.append(subdir + "/" + file)
+ if file.endswith('.csv'):
+ r.append(f"{subdir}/{file}")
return r
+
def read_data(list_of_files, cases):
-
S_k_calib = {}
-
+
for idx, file in enumerate(list_of_files):
df = pd.read_csv(file)
- S_k_calib[cases[idx]] = df.to_numpy()
-
+ S_k_calib[cases[idx]] = df.to_numpy()
+
return S_k_calib
-def plotFits(h_k, S_k, params, method, Case):
-
+
+def plotFits(h_k, S_k, params, method, Case, item):
+
nPrSensor = S_k.shape[0]
global p_f, pointIDs, modelName
-
+
OutputDir = (r'Plots_'+modelName+'_'+Case)
- if not os.path.exists(OutputDir): os.makedirs(OutputDir)
-
+ if not os.path.exists(OutputDir):
+ os.makedirs(OutputDir)
+
for idx, PID in enumerate(pointIDs[Case]):
fig, ax = plt.subplots()
-
- x = np.linspace(np.min(h_k),np.max(h_k),100)
+
+ x = np.linspace(np.min(h_k), np.max(h_k), 100)
estimate = errorEstimate(x, params[idx], p_f, method)
- plt.plot(x, estimate, marker='o', markevery=5) # Fit
+ # Fit
+ plt.plot(x, estimate, marker='o', markevery=5)
+ # Data
+ plt.scatter(h_k, S_k[idx], marker='x', s=150, c='k')
- plt.scatter(h_k, S_k[idx], marker='x', s=150, c='k') # Data
-
if method == 'mixedorder':
- txt = r'$\epsilon (h) = %.4e\times h + {%.4e} \times h^2 $' % (params[idx, 1],params[idx, 2])
+ txt = r'$\epsilon (h) = %.4e\times h + {%.4e} \times h^2 $' % (
+ params[idx, 1], params[idx, 2])
else:
- txt = r'$\epsilon (h) = %.4e\times h^{%.4e}$' % (params[idx, 1],params[idx, 2])
-
- plt.text(0.65, 0.65, txt,
- ha='center', va='bottom', transform=fig.transFigure)
-
- plt.title('Best Fit Power Law for Point ID ' + str(PID))
- plt.xlabel('Mesh size $h$ [m]')
- plt.ylabel('Velocity [m/s]') if case=='velocity' else plt.ylabel('Pressure [bar]')
-
- # fig.savefig('./'+OutputDir+'/fit_'+str(idx+1)+'.pdf',bbox_inches='tight')
- plt.close()
+ txt = r'$\epsilon (h) = %.4e\times h^{%.4e}$' % (params[idx, 1],
+ params[idx, 2])
-def plotSRQs(h, S_k, params, method, case):
-
- nTSensor, nRefinements = S_k.shape
- global p_f, labels, X
-
- OutputDir = (r'Plots_'+method)
- if not os.path.exists(OutputDir): os.makedirs(OutputDir)
- fig, ax = plt.subplots()
- linestyles = ['-', '--', '-.']
-
- estimate = np.zeros((nTSensor))
- for idx in range(nTSensor):
- estimate[idx] = errorEstimate(h, params[idx], p_f, method)
-
- # Fit
- plt.scatter(X, estimate, marker='o', facecolors='none', edgecolors='k',
- s=50, label='Richardson Extrap.')
-
- # Data
- for refIdx in range(nRefinements):
- plt.plot(X, S_k[:,refIdx], ls=linestyles[refIdx], c='k', label=labels[refIdx]+' Cells')
-
- plt.xlabel('Time [s]')
- plt.ylabel('Conv [-]') if case=='conv' else plt.ylabel('Temperature [K]')
- plt.legend(loc='best')
-
- fig.savefig('./'+OutputDir+'/fit_'+case+'.svg',bbox_inches='tight')
- plt.close()
+ plt.text(0.65, 0.65, txt, ha='center', va='bottom',
+ transform=fig.transFigure, usetex=True)
+ plt.title(f'Point ID {item} {PID}', usetex=True)
+ plt.xlabel('Mesh size $h$ [m]', usetex=True)
+ if case == 'velocity':
+ plt.ylabel('Velocity [m/s]', usetex=True)
+ else:
+ plt.ylabel('Pressure [bar]', usetex=True)
+
+ fig.savefig(f'./{OutputDir}/fit_{idx+1}.svg', bbox_inches='tight')
+ plt.close()
def errorEstimate(h, params, p_f, method):
- # Power-law fitting is best done by first converting
- # to a linear equation and then fitting to a straight line.
- #
- # S_k = S_0 - C * h_k ^ a
- #
-
- # define our (line) fitting function
- # p[0]=S_0 p[1]=C p[2] = a
-
+ """
+ Power-law fitting is best done by first converting
+ to a linear equation and then fitting to a straight line.
+ S_k = S_0 - C * h_k ^ a
+
+ define our (line) fitting function
+ p[0]=S_0 p[1]=C p[2] = a
+
+ Parameters
+ ----------
+ h : TYPE
+ DESCRIPTION.
+ params : TYPE
+ DESCRIPTION.
+ p_f : TYPE
+ DESCRIPTION.
+ method : TYPE
+ DESCRIPTION.
+
+ Returns
+ -------
+ TYPE
+ DESCRIPTION.
+
+ """
if method == 'mixedorder':
- return params[0] + params[1]* h + params[2] * (h**2)
+ return params[0] + params[1] * h + params[2] * (h**2)
else:
f = params[0] + params[1] * (h**params[2])
if p_f == 1:
return f
else:
- for pIdx in range(1,int(p_f)):
+ for pIdx in range(1, int(p_f)):
f += params[pIdx+2] * (h**(params[2]+pIdx))
return f
-
-
+
+
def mixed1st2ndorderMethod(h_k, S_k_All, Case, h, verbose=True):
-
- global p_f,reqMethod
+
+ global p_f, reqMethod
nPrSensor = S_k_All.shape[0]
nUnknowns = 3
- unknowns = np.zeros((nPrSensor, nUnknowns))
-
+ unknowns = np.zeros((nPrSensor, nUnknowns))
+
################################################################
- # Fitting the data -- mixed1st2ndorder Method berkampf book P. 335
+ # Fitting the data -- mixed1st2ndorder Method Oberkampf book P. 335
################################################################
if verbose:
print('='*50)
print('mixed1st2ndorder method, case:', Case)
print('='*50)
-
+
g_1 = np.zeros((nPrSensor))
g_2 = np.zeros((nPrSensor))
f_bar = np.zeros((nPrSensor))
-
+
# Constant refinement
- possible_indices = [[0,1,2]]
-
+ possible_indices = [[0, 1, 2]]
+
for selected_indices in possible_indices:
selctedh_k = h_k[selected_indices]
- selctedS_k = S_k_All[:,selected_indices]
+ selctedS_k = S_k_All[:, selected_indices]
# Compute grid factor
- r = selctedh_k[1] / selctedh_k[0]
-
+ r = selctedh_k[1] / selctedh_k[0]
+
for i in range(nPrSensor):
- df_21 = selctedS_k[i,1]-selctedS_k[i,0]
- df_32 = selctedS_k[i,2]-selctedS_k[i,1]
-
+ df_21 = selctedS_k[i, 1] - selctedS_k[i, 0]
+ df_32 = selctedS_k[i, 2] - selctedS_k[i, 1]
+
g_1[i] = (df_21 * (r**2) - df_32) / (r * (r-1)**2)
g_2[i] = (df_32 - r*df_21) / (r*(r+1)*(r-1)**2)
- f_bar[i] = selctedS_k[i,0] + ( (df_32-df_21*(1+r+r**2)) / ((r+1)*(r-1)**2))
-
+ f_bar[i] = selctedS_k[i, 0] + ((df_32-df_21*(1+r+r**2)) /
+ ((r+1)*(r-1)**2))
+
if verbose:
print('-'*30)
- print("Sensor idx:{0:d} : f = {1:.3f} + {2:.3e} * h + {3:.3e}* h^2".format(i,
- f_bar[i], g_1[i], g_2[i]))
- mse = mean_squared_error(selctedS_k[i], errorEstimate(h_k, (f_bar[i],g_1[i],g_2[i]),p_f, reqMethod))
+ print("Sensor idx:{0:d} : f = {1:.3f} + {2:.3e} * h "
+ "+ {3:.3e}* h^2".format(i, f_bar[i], g_1[i], g_2[i]))
+ estimate = errorEstimate(h_k, (f_bar[i], g_1[i], g_2[i]), p_f,
+ reqMethod)
+ mse = mean_squared_error(selctedS_k[i], estimate)
print("RMSE: %.3e" % np.sqrt(mse))
+
for i in range(nPrSensor):
- unknowns[i] = np.array([f_bar[i],g_1[i],g_2[i]])
-
+ unknowns[i] = np.array([f_bar[i], g_1[i], g_2[i]])
+
return unknowns
+
def porderMethod(h_k, S_k_All, Case, h, verbose=True):
-
+
nPrSensor = S_k_All.shape[0]
nUnknowns = 3
unknowns = np.zeros((nPrSensor, nUnknowns))
-
+
################################################################
- # Fitting the data -- Analytical Method berkampf book P. 319
+ # Fitting the data -- Analytical Method Oberkampf book P. 319
################################################################
if verbose:
print('='*50)
print('Analytical method, case:', Case)
print('='*50)
-
+
p_hat = np.zeros((nPrSensor))
f_bar = np.zeros((nPrSensor))
g_p = np.zeros((nPrSensor))
-
+
# Constant refinement
- possible_indices = [[0,1,2]]
-
+ possible_indices = [[0, 1, 2]]
+
for selected_indices in possible_indices:
selctedh_k = h_k[selected_indices]
- selctedS_k = S_k_All[:,selected_indices]
+ selctedS_k = S_k_All[:, selected_indices]
# Compute grid factor r>1
- r = selctedh_k[1] / selctedh_k[0]
-
+ r = selctedh_k[1] / selctedh_k[0]
+
for i in range(nPrSensor):
- # print("Swaping the values for fine and normal grids")
- numerator = (selctedS_k[i,2]-selctedS_k[i,1])/(selctedS_k[i,1]-selctedS_k[i,0])
+ numerator = (selctedS_k[i, 2]-selctedS_k[i, 1]) / \
+ (selctedS_k[i, 1]-selctedS_k[i, 0])
if numerator < 0:
- selctedS_k[i,0],selctedS_k[i,1] = selctedS_k[i,1],selctedS_k[i,0]
- numerator = (selctedS_k[i,2]-selctedS_k[i,1])/(selctedS_k[i,1]-selctedS_k[i,0])
- # pass
+ print("Swaping the values for fine and normal grids")
+ selctedS_k[i, 0], selctedS_k[i, 1] = selctedS_k[i, 1], selctedS_k[i, 0]
+ numerator = (selctedS_k[i, 2]-selctedS_k[i, 1]) / \
+ (selctedS_k[i, 1]-selctedS_k[i, 0])
+
if np.isnan(numerator):
- f_bar[i] = selctedS_k[i,1]
+ f_bar[i] = selctedS_k[i, 1]
p_hat[i], g_p[i] = 0, 0
else:
- p_hat[i] = np.log(numerator)/ np.log(r)
- f_bar[i] = selctedS_k[i,0] + (selctedS_k[i,0]-selctedS_k[i,1])/(-1+r**p_hat[i])
- g_p[i] = (selctedS_k[i,0] - f_bar[i]) / (selctedh_k[0]**p_hat[i])
-
+ p_hat[i] = np.log(numerator) / np.log(r)
+ f_bar[i] = selctedS_k[i, 0]
+ f_bar[i] += (selctedS_k[i, 0]-selctedS_k[i, 1])/(r**p_hat[i]-1)
+ g_p[i] = (selctedS_k[i, 0] - f_bar[i])
+ g_p[i] /= (selctedh_k[0]**p_hat[i])
+
if verbose:
print('-'*30)
- print("\nPoint idx:{0:d} : f = {1:.3f} + {2:.3e} * h**{3:.3e}".format(i+1, f_bar[i], g_p[i], p_hat[i]))
+ print("\nPoint idx:{0:d} : f = {1:.3f} + {2:.3e} "
+ "* h**{3:.3e}".format(i+1, f_bar[i], g_p[i], p_hat[i]))
-
for i in range(nPrSensor):
- unknowns[i] = np.array([f_bar[i],g_p[i],p_hat[i]])
-
-
+ unknowns[i] = np.array([f_bar[i], g_p[i], p_hat[i]])
+
return unknowns
-def lstsqMethod(h_k, S_k_All, Case, h, method='power', normOrd=None, verbose=False):
+
+def lstsqMethod(h_k, S_k_All, Case, h, method='power', normOrd=None,
+ verbose=False):
global item, p_f
# Define function for calculating a power law
nPrSensor = S_k_All.shape[0]
nUnknowns = 2 + int(p_f)
-
+
unknowns = np.zeros((nPrSensor, nUnknowns))
-
+
##################################################
# Fitting the data -- Least Squares Method
##################################################
@@ -256,101 +259,104 @@ def lstsqMethod(h_k, S_k_All, Case, h, method='power', normOrd=None, verbose=Fal
print('='*50)
print('Least Squares Method, item, case:', item, Case)
print('='*50)
-
- fitfunc = lambda h_k, params, p_f, method: errorEstimate(h_k, params, p_f, method)
- if normOrd == None:
- errfunc = lambda params, x, y, p_f, method: y - fitfunc(h_k, params, p_f, method)
+ def fit_func(h_k, params, p_f, method):
+ return errorEstimate(h_k, params, p_f, method)
+
+ if normOrd is None:
+ def errfunc(params, x, y, p_f, method):
+ return y - fit_func(h_k, params, p_f, method)
else:
- errfunc = lambda params, h_k, y, p_f, method: np.linalg.norm(np.vstack(y - fitfunc(h_k, params, p_f, method)),ord=normOrd, axis=0)
-
-
+ def errfunc(params, h_k, y, p_f, method):
+ diff = np.vstack(y - fit_func(h_k, params, p_f, method))
+ return np.linalg.norm(diff, ord=normOrd, axis=0)
+
for sensor_idx, S_k in enumerate(S_k_All):
- # Unknown boundaries
- upBounds = [max(0,np.max(S_k)-10), -1*(np.mean(S_k)-np.std(S_k)), 0.5]
+ # Unknown boundaries
+ upBounds = [max(0, np.max(S_k)-10), -1*(np.mean(S_k)-np.std(S_k)), 0.5]
lowBounds = [np.max(S_k)+10, np.mean(S_k)+np.std(S_k), p_f]
-
+
# Initial guess (must be in the bound)
pinit = np.array([np.max(S_k), -1*np.std(S_k), 0.6])
-
+
if p_f > 1:
- for i in range(1,int(p_f)):
+ for i in range(1, int(p_f)):
upBounds.append(-0.1*(np.mean(S_k)-np.std(S_k)))
lowBounds.append(0.1*np.mean(S_k)+np.std(S_k))
pinit = np.hstack((pinit, 0.1*np.mean(S_k)+0.1*np.std(S_k)))
-
-
-
- # print(pinit)
-
- Bounds = (upBounds,lowBounds)
- # print(Bounds)
-
+
+ Bounds = (upBounds, lowBounds)
+
out = optimize.least_squares(errfunc, pinit, bounds=Bounds,
- args=(h_k, S_k, p_f, method,))#, max_nfev=50000)
-
-
-
- # Bounds = [(np.min(S_k)-5, np.max(S_k)+5),#(max(0,np.max(S_k)-1*np.std(S_k)), np.max(S_k)+1*np.std(S_k)), #(np.max(S_k)-200, np.max(S_k)+200)
+ args=(h_k, S_k, p_f, method,))
+
+ # Bounds = [(np.min(S_k)-5, np.max(S_k)+5),
+ # (max(0,np.max(S_k)-1*np.std(S_k)), np.max(S_k)+1*np.std(S_k)),
+ # (np.max(S_k)-200, np.max(S_k)+200)
# (-10 , 10), #(-1*abs(np.min(S_k)-200) , 2000)
# (0, 10)] #-20,10
# out = optimize.dual_annealing(errfunc, bounds=Bounds,
# args=(h_k, S_k,))
-
+
# Extract results
pfinal = out.x
- unknowns[sensor_idx] = pfinal
-
-
+ unknowns[sensor_idx] = pfinal
+
if verbose:
print('-'*30)
- print("Point idx:{0:d} : f = {1:.3f} + {2:.3e} * h**{3:.3e}".format(sensor_idx+1, pfinal[0], pfinal[1], pfinal[2]))
- mse = mean_squared_error(S_k, fitfunc(h_k, unknowns[sensor_idx],p_f, method))
+ print("Point idx:{0:d} : f = {1:.3f} + {2:.3e} * h**{3:.3e}"
+ .format(sensor_idx+1, pfinal[0], pfinal[1], pfinal[2]))
+ estimate = fit_func(h_k, unknowns[sensor_idx], p_f, method)
+ mse = mean_squared_error(S_k, estimate)
print("RMSE: %.3e" % np.sqrt(mse))
-
+
return unknowns
-def RobustVerificationMethod(h_k, S_k_All, Case, h, normOrd=None, verbose=True):
-
+
+def RobustVerificationMethod(h_k, S_k_All, Case, h, normOrd=None,
+ verbose=True):
global p_f, reqMethod
-
nPrSensor = S_k_All.shape[0]
nUnknowns = 3
unknowns = np.zeros((len(normOrd), nPrSensor, nUnknowns))
-
failed_idx = []
-
- for idx,Ord in enumerate(normOrd):
-
+
+ for idx, Ord in enumerate(normOrd):
+
try:
- unknowns[idx] = lstsqMethod(h_k, S_k_All, Case, h, normOrd=Ord
- , verbose=False)
+ unknowns[idx] = lstsqMethod(h_k, S_k_All, Case, h, normOrd=Ord,
+ verbose=False)
except:
failed_idx.append(idx)
-
+
unknowns = np.delete(unknowns, failed_idx, axis=0)
-
# Compute median
medunknowns = np.median(unknowns, axis=0)
- if verbose: print("Median:\n",medunknowns)
-
+ if verbose:
+ print("Median:\n", medunknowns)
+
# median_absolute_deviation
MAD = stats.median_absolute_deviation(unknowns, axis=0)
- if verbose: print("MAD:\n",MAD)
-
- if verbose:
+ if verbose:
+ print("MAD:\n", MAD)
+
+ if verbose:
for idx in range(nPrSensor):
print('-'*30)
- print("Time idx:{0:d} : f = {1:.3f}+/-{2:.3f} + {3:.3e} * h**({4:.3e}+/-{5:.3f})".format(idx,
- medunknowns[idx,0], MAD[idx,0], medunknowns[idx,1],
- medunknowns[idx,2], MAD[idx,2]))
-
- mse = mean_squared_error(S_k_All[idx], errorEstimate(h_k, medunknowns[idx],p_f, reqMethod))
+ print("Time idx:{0:d} : f = {1:.3f}+/-{2:.3f} + {3:.3e} * h**"
+ "({4:.3e}+/-{5:.3f})".format(idx, medunknowns[idx, 0],
+ MAD[idx, 0],
+ medunknowns[idx, 1],
+ medunknowns[idx, 2],
+ MAD[idx, 2]))
+ estimate = errorEstimate(h_k, medunknowns[idx], p_f, reqMethod)
+ mse = mean_squared_error(S_k_All[idx], estimate)
print("RMSE: %.3e" % np.sqrt(mse))
-
+
return medunknowns
+
def NumErrCalculator(params, Case, h, method='power', verbose=True):
"""
Compute Numerical Error for certain mesh generating factor
@@ -363,10 +369,10 @@ def NumErrCalculator(params, Case, h, method='power', verbose=True):
Connected or disconnected.
h : float
Mesh generating factor.
-
+
method : string; default:power
Numerical error model type - power or mixed order
-
+
Returns
-------
NumErr: 1d-array (n_sensors)
@@ -375,82 +381,84 @@ def NumErrCalculator(params, Case, h, method='power', verbose=True):
"""
n_sensors, n_unknowns = params.shape
-
+
NumErr = np.zeros((n_sensors))
-
+
print('\n'*3)
print('='*50)
print('Case:', Case)
-
+
for idx, param in enumerate(params):
-
+
if method == 'power':
NumErr[idx] = param[1] * (h**param[2])
-
+
if p_f != 1:
- for pIdx in range(1,int(p_f)):
- NumErr[idx] += param[pIdx+2] * (h**(param[2]+pIdx))
-
+ for pIdx in range(1, int(p_f)):
+ NumErr[idx] += param[pIdx+2] * (h**(param[2]+pIdx))
+
elif method == 'mixed order':
f_bar, g_1, g_2 = param
NumErr[idx] = g_1 * h + g_2 * (h**2)
-
- print("\nPoint idx:{0:d} NumErr = {1:.3e} ".format(idx+1,
- NumErr[idx]))
+
+ print("\nPoint idx:{0:d} NumErr = {1:.3e} ".format(idx+1, NumErr[idx]))
print('-'*30)
-
-
+
return NumErr
-if __name__ == "__main__":
+if __name__ == "__main__":
-
AllParams = {}
Errors = {}
pointIDs = {}
AllErrors = {}
- Verbose = True # False, True
- step = 100 # Step to plot
-
+ verbose = True # False, True
+ step = 100 # Step to plot
+
######################################################
# Define h_k and the solutions
######################################################
-
- Case = ['velocity','p']
- labels = ['1312x768','656x384','328x192']
+ Case = ['velocity', 'p']
+ labels = ['1312x768', '656x384', '328x192']
Items = ['Calib']
-
- modelName = 'stokespnmNA' #'stokesdarcy_ER' & 'stokesdarcy_BJ' & 'stokespnm'
-
- list_of_files = ['./'+modelName+'/'+'ffpm_'+modelName+'_'+key+'.csv' for key in Case]
-
+ # stokesdarcy_ER, stokesdarcy_BJ, stokespnm, stokespnmNA
+ modelName = 'stokesdarcy_ER'
+
+ list_of_files = [f'./{modelName}/ffpm_{modelName}_{c}.csv' for c in Case]
+
+ # Actual normal mesh spacing
if 'darcy' in modelName:
- h = 1.5625e-05 # actual normal mesh spacing
+ h = 1.5625e-05
h_k = np.array([7.8125e-06, 1.5625e-05, 3.125e-05])
+
elif 'pnm' in modelName:
- h = 6.103515625e-11 # actual normal mesh spacing
+ h = 6.103515625e-11
# h_k = np.array([6.25e-10, 2.5e-09, 1.0e-08]) #1.25e-08
h_k = np.array([1.52587890625e-11, 6.103515625e-11, 2.44140625e-10])
-
+
+ # Read data
S_k_calib = read_data(list_of_files, Case)
-
+
# Extract the Point Ids
- pointIDs['velocity'] = pd.read_csv('../velocity_points.csv')['vtkOriginalPointIds'].to_numpy()
- pointIDs['p'] = pd.read_csv('../pressure_points.csv')['vtkOriginalPointIds'].to_numpy()
+ velocity_points = pd.read_csv('../velocity_points.csv')
+ pointIDs['velocity'] = velocity_points['vtkOriginalPointIds'].values
+ pressure_points = pd.read_csv('../pressure_points.csv')
+ pointIDs['p'] = pressure_points['vtkOriginalPointIds'].values
+
######################################################
# Define the Richardson extrapolation scheme
######################################################
# Methods
# 'RobustVerification', 'lstsq', 'porder', 'mixedorder'
reqMethod = 'porder'
-
+
# Set the order for the numerical scheme
- p_f = 1.0
-
+ p_f = 1
+
# Required only for RobustVerification method
normOrd = [None, 1, -1, 2, -2, 'inf', '-inf', 'fro', 'nuc']
-
+
######################################################
# Run the discretization error model fitting
######################################################
@@ -460,17 +468,21 @@ if __name__ == "__main__":
S_k_All = S_k_calib[case]
if reqMethod == 'RobustVerification':
- Params[case] = RobustVerificationMethod(h_k, S_k_All, case, h, normOrd, verbose=Verbose)
-
- if reqMethod == 'lstsq':
- Params[case] = lstsqMethod(h_k, S_k_All, case, h, method='power', normOrd=None, verbose=Verbose)
-
- if reqMethod == 'porder':
- Params[case] = porderMethod(h_k, S_k_All, case, h, verbose=Verbose)
-
- if reqMethod == 'mixedorder':
- Params[case] = mixed1st2ndorderMethod(h_k, S_k_All, case, h, verbose=Verbose)
-
+ Params[case] = RobustVerificationMethod(h_k, S_k_All, case,
+ h, normOrd, verbose)
+
+ elif reqMethod == 'lstsq':
+ Params[case] = lstsqMethod(h_k, S_k_All, case, h,
+ method='power', normOrd=None,
+ verbose=verbose)
+
+ elif reqMethod == 'porder':
+ Params[case] = porderMethod(h_k, S_k_All, case, h, verbose)
+
+ elif reqMethod == 'mixedorder':
+ Params[case] = mixed1st2ndorderMethod(h_k, S_k_All, case, h,
+ verbose=verbose)
+
AllParams[item] = Params
######################################################
@@ -479,25 +491,26 @@ if __name__ == "__main__":
for item in Items:
for case in Case:
S_k_All = S_k_calib[case]
-
- plotFits(h_k, S_k_All, AllParams[item][case], reqMethod, case)#item+modelName+case)
- # plotSRQs(h, S_k_All, AllParams[item][case], reqMethod, case)
-
+
+ plotFits(h_k, S_k_All, AllParams[item][case],
+ reqMethod, case, item)
+
######################################################
# Compute Numerical Error for mesh generating factor h
######################################################
for item in Items:
# Extract point ids
Errors['Point ID'] = pointIDs['velocity']
-
+
for case in Case:
-
+
method = 'mixed order' if reqMethod == 'mixedorder' else 'power'
- Errors[case] = NumErrCalculator(AllParams[item][case], case, h, method, verbose=Verbose)
-
+ Errors[case] = NumErrCalculator(AllParams[item][case], case, h,
+ method, verbose=verbose)
+
if case == 'p':
Errors['p'] = np.hstack((Errors['p'], np.nan*np.zeros(15)))
-
+
df = pd.DataFrame(Errors)
- df.columns = ['Point ID','velocity [m/s]','p']
- df.to_csv('./NumError_'+modelName+'.csv', index=False)
+ df.columns = ['Point ID', 'velocity [m/s]', 'p']
+ df.to_csv(f'./NumError_{modelName}.csv', index=False)
diff --git a/BayesValidRox/tests/PA-A/models/numError/Plots_stokesdarcy_BJ_p/fit_1.svg b/BayesValidRox/tests/PA-A/models/numError/Plots_stokesdarcy_BJ_p/fit_1.svg
index 4aa1adf2b8aa240ead8f7437d59c23aaea0d4fdc..d8bacb73efbe7e9db3942b03be8df3cb459a9b73 100644
--- a/BayesValidRox/tests/PA-A/models/numError/Plots_stokesdarcy_BJ_p/fit_1.svg
+++ b/BayesValidRox/tests/PA-A/models/numError/Plots_stokesdarcy_BJ_p/fit_1.svg
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- <dc:date>2021-05-03T10:03:42.166179</dc:date>
+ <dc:date>2022-01-23T15:52:31.288509</dc:date>
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index 96206fed857ddbfd7ccd6d9a855772a2fedf70c1..23b5289b354ea975821f27a1291526a9f227a966 100644
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index 11cdf0622cd43713c52e53492492aaa027622d5f..a5f2fc706c89b60a0cb91c1f83d16e91ad1a1b96 100644
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index 5579a5fe38fd15f11442eba5f6e0260c07e99ce6..a65fb3a75217a9694c6ceb6d30ea362452dca304 100644
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