From f40c80aea8d4ac77c7946f089ea647750f471237 Mon Sep 17 00:00:00 2001
From: JanHab <Jan.Habscheid@web.de>
Date: Tue, 20 Aug 2024 17:17:42 +0200
Subject: [PATCH] Vis for ElectrolyticDiode

---
 .../Data/ElectrolyticDiode/BackwardBias.npz   |    Bin 0 -> 926700 bytes
 .../Data/ElectrolyticDiode/ForwardBias.npz    |    Bin 0 -> 926700 bytes
 examples/Data/ElectrolyticDiode/NoBias.npz    |    Bin 0 -> 926700 bytes
 examples/Figures/ElectrolyticDiode.svg        | 168101 +++++++++++++++
 .../ElectrolyticDiode/BackwardBias.py         |     96 +
 .../ElectrolyticDiode/ForwardBias.py          |     96 +
 .../ElectrolyticDiode/NoBias.py               |     96 +
 examples/Visualizations/ElectrolyticDiode.py  |     99 +
 src/ElectrolyticDiode.py                      |      8 +-
 .../ElectrolyticDiode.cpython-312.pyc         |    Bin 0 -> 20992 bytes
 10 files changed, 168493 insertions(+), 3 deletions(-)
 create mode 100644 examples/Data/ElectrolyticDiode/BackwardBias.npz
 create mode 100644 examples/Data/ElectrolyticDiode/ForwardBias.npz
 create mode 100644 examples/Data/ElectrolyticDiode/NoBias.npz
 create mode 100644 examples/Figures/ElectrolyticDiode.svg
 create mode 100644 examples/ReproducableCode/ElectrolyticDiode/BackwardBias.py
 create mode 100644 examples/ReproducableCode/ElectrolyticDiode/ForwardBias.py
 create mode 100644 examples/ReproducableCode/ElectrolyticDiode/NoBias.py
 create mode 100644 examples/Visualizations/ElectrolyticDiode.py
 create mode 100644 src/__pycache__/ElectrolyticDiode.cpython-312.pyc

diff --git a/examples/Data/ElectrolyticDiode/BackwardBias.npz b/examples/Data/ElectrolyticDiode/BackwardBias.npz
new file mode 100644
index 0000000000000000000000000000000000000000..770e1b330a54650b07efe9b3e9754ec3986345e2
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diff --git a/examples/Data/ElectrolyticDiode/NoBias.npz b/examples/Data/ElectrolyticDiode/NoBias.npz
new file mode 100644
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diff --git a/examples/ReproducableCode/ElectrolyticDiode/BackwardBias.py b/examples/ReproducableCode/ElectrolyticDiode/BackwardBias.py
new file mode 100644
index 0000000..aacd26b
--- /dev/null
+++ b/examples/ReproducableCode/ElectrolyticDiode/BackwardBias.py
@@ -0,0 +1,96 @@
+'''
+Jan Habscheid
+Jan.Habscheid@rwth-aachen.de
+
+Solve the electrolitic diode for the backward bias case
+'''
+# import the src file needed to solve the system of equations
+import sys
+import os
+
+
+# Add the src directory to the sys.path
+src_path = os.path.join(os.path.dirname(os.path.abspath(__file__)), '../../..', 'src')
+sys.path.insert(0, src_path)
+
+from ElectrolyticDiode import ElectrolyticDiode
+
+# Remove the src directory from sys.path after import
+del sys.path[0]
+
+# Import plotting library
+import matplotlib.pyplot as plt
+import numpy as np
+
+# Parameter
+phi_bias = 10
+Bias_type = 'BackwardBias'
+g_phi = 5
+y_fixed = 0.01
+z_A = -1.0
+z_C = 1.0
+K = 'incompressible'
+Lambda2 = 8.553e-6
+a2 = 7.5412e-4
+number_cells = [40, 400]
+Lx = 2
+Ly = 10
+x0 = np.array([0, 0])
+x1 = np.array([Lx, Ly])
+
+# Solver parameters
+rtol = 1e-8
+relax_param = 0.05
+max_iter = 15_000    
+
+# Solve the system
+y_A, y_C, phi, p, X, u = ElectrolyticDiode(Bias_type, phi_bias, g_phi, z_A, z_C, y_fixed, y_fixed, K, Lambda2, a2, number_cells, relax_param=relax_param, Lx=Lx, Ly=Ly, rtol=rtol, max_iter=max_iter, return_type='Extended')
+x, y = X[0], X[1]
+y_S = 1 - y_A - y_C
+
+# Plot results
+levelsf = 10
+levels = 10
+
+# y_A
+plt.figure(figsize=(2, 4))
+c = plt.tricontourf(x, y, y_A, levelsf)
+plt.colorbar(c)
+plt.tricontour(x, y, y_A, levels, colors='black')
+plt.title('$y_A$')
+plt.show()
+
+# y_C
+plt.figure(figsize=(2, 4))
+c = plt.tricontourf(x, y, y_C, levelsf)
+plt.colorbar(c)
+plt.tricontour(x, y, y_C, levels, colors='black')
+plt.title('$y_C$')
+plt.show()
+
+# y_S
+plt.figure(figsize=(2, 4))
+c = plt.tricontourf(x, y, y_S, levelsf)
+plt.colorbar(c)
+plt.tricontour(x, y, y_S, levels, colors='black')
+plt.title('$y_S$')
+plt.show()
+
+# phi
+plt.figure(figsize=(2, 4))
+c = plt.tricontourf(x, y, phi, levelsf)
+plt.colorbar(c)
+plt.tricontour(x, y, phi, levels, colors='black')
+plt.title('$\\varphi$')
+plt.show()
+
+# p
+plt.figure(figsize=(2, 4))
+c = plt.tricontourf(x, y, p, levelsf)
+plt.colorbar(c)
+plt.tricontour(x, y, p, levels, colors='black')
+plt.title('$p$')
+plt.show()
+
+# Save the results
+np.savez('../../Data/ElectrolyticDiode/BackwardBias.npz', phi_bias=phi_bias, g_phi=g_phi, y_fixed=y_fixed, z_A=z_A, z_C=z_C, K=K, Lambda2=Lambda2, a2=a2, number_cells=number_cells, Lx=Lx, Ly=Ly, x0=x0, x1=x1, solvation=0, rtol=rtol, relax_param=relax_param, max_iter=max_iter, y_A=y_A, y_C=y_C, y_S=y_S, phi=phi, p=p, x=x, y=y)
diff --git a/examples/ReproducableCode/ElectrolyticDiode/ForwardBias.py b/examples/ReproducableCode/ElectrolyticDiode/ForwardBias.py
new file mode 100644
index 0000000..23a8d6e
--- /dev/null
+++ b/examples/ReproducableCode/ElectrolyticDiode/ForwardBias.py
@@ -0,0 +1,96 @@
+'''
+Jan Habscheid
+Jan.Habscheid@rwth-aachen.de
+
+Solve the electrolitic diode for the forward bias case
+'''
+# import the src file needed to solve the system of equations
+import sys
+import os
+
+
+# Add the src directory to the sys.path
+src_path = os.path.join(os.path.dirname(os.path.abspath(__file__)), '../../..', 'src')
+sys.path.insert(0, src_path)
+
+from ElectrolyticDiode import ElectrolyticDiode
+
+# Remove the src directory from sys.path after import
+del sys.path[0]
+
+# Import plotting library
+import matplotlib.pyplot as plt
+import numpy as np
+
+# Parameter
+phi_bias = 10
+Bias_type = 'ForwardBias'
+g_phi = 5
+y_fixed = 0.01
+z_A = -1.0
+z_C = 1.0
+K = 'incompressible'
+Lambda2 = 8.553e-6
+a2 = 7.5412e-4
+number_cells = [40, 400]
+Lx = 2
+Ly = 10
+x0 = np.array([0, 0])
+x1 = np.array([Lx, Ly])
+
+# Solver parameters
+rtol = 1e-8
+relax_param = 0.05
+max_iter = 15_000    
+
+# Solve the system
+y_A, y_C, phi, p, X, u = ElectrolyticDiode(Bias_type, phi_bias, g_phi, z_A, z_C, y_fixed, y_fixed, K, Lambda2, a2, number_cells, relax_param=relax_param, Lx=Lx, Ly=Ly, rtol=rtol, max_iter=max_iter, return_type='Extended')
+x, y = X[0], X[1]
+y_S = 1 - y_A - y_C
+
+# Plot results
+levelsf = 10
+levels = 10
+
+# y_A
+plt.figure(figsize=(2, 4))
+c = plt.tricontourf(x, y, y_A, levelsf)
+plt.colorbar(c)
+plt.tricontour(x, y, y_A, levels, colors='black')
+plt.title('$y_A$')
+plt.show()
+
+# y_C
+plt.figure(figsize=(2, 4))
+c = plt.tricontourf(x, y, y_C, levelsf)
+plt.colorbar(c)
+plt.tricontour(x, y, y_C, levels, colors='black')
+plt.title('$y_C$')
+plt.show()
+
+# y_S
+plt.figure(figsize=(2, 4))
+c = plt.tricontourf(x, y, y_S, levelsf)
+plt.colorbar(c)
+plt.tricontour(x, y, y_S, levels, colors='black')
+plt.title('$y_S$')
+plt.show()
+
+# phi
+plt.figure(figsize=(2, 4))
+c = plt.tricontourf(x, y, phi, levelsf)
+plt.colorbar(c)
+plt.tricontour(x, y, phi, levels, colors='black')
+plt.title('$\\varphi$')
+plt.show()
+
+# p
+plt.figure(figsize=(2, 4))
+c = plt.tricontourf(x, y, p, levelsf)
+plt.colorbar(c)
+plt.tricontour(x, y, p, levels, colors='black')
+plt.title('$p$')
+plt.show()
+
+# Save the results
+np.savez('../../Data/ElectrolyticDiode/ForwardBias.npz', phi_bias=phi_bias, g_phi=g_phi, y_fixed=y_fixed, z_A=z_A, z_C=z_C, K=K, Lambda2=Lambda2, a2=a2, number_cells=number_cells, Lx=Lx, Ly=Ly, x0=x0, x1=x1, solvation=0, rtol=rtol, relax_param=relax_param, max_iter=max_iter, y_A=y_A, y_C=y_C, y_S=y_S, phi=phi, p=p, x=x, y=y)
diff --git a/examples/ReproducableCode/ElectrolyticDiode/NoBias.py b/examples/ReproducableCode/ElectrolyticDiode/NoBias.py
new file mode 100644
index 0000000..de82de3
--- /dev/null
+++ b/examples/ReproducableCode/ElectrolyticDiode/NoBias.py
@@ -0,0 +1,96 @@
+'''
+Jan Habscheid
+Jan.Habscheid@rwth-aachen.de
+
+Solve the electrolitic diode without a bias
+'''
+# import the src file needed to solve the system of equations
+import sys
+import os
+
+
+# Add the src directory to the sys.path
+src_path = os.path.join(os.path.dirname(os.path.abspath(__file__)), '../../..', 'src')
+sys.path.insert(0, src_path)
+
+from ElectrolyticDiode import ElectrolyticDiode
+
+# Remove the src directory from sys.path after import
+del sys.path[0]
+
+# Import plotting library
+import matplotlib.pyplot as plt
+import numpy as np
+
+# Parameter
+phi_bias = 10 # Doesn't matter, as set to zero in the function
+Bias_type = 'NoBias'
+g_phi = 5
+y_fixed = 0.01
+z_A = -1.0
+z_C = 1.0
+K = 'incompressible'
+Lambda2 = 8.553e-6
+a2 = 7.5412e-4
+number_cells = [40, 400]
+Lx = 2
+Ly = 10
+x0 = np.array([0, 0])
+x1 = np.array([Lx, Ly])
+
+# Solver parameters
+rtol = 1e-8
+relax_param = 0.05
+max_iter = 15_000    
+
+# Solve the system
+y_A, y_C, phi, p, X, u = ElectrolyticDiode(Bias_type, phi_bias, g_phi, z_A, z_C, y_fixed, y_fixed, K, Lambda2, a2, number_cells, relax_param=relax_param, Lx=Lx, Ly=Ly, rtol=rtol, max_iter=max_iter, return_type='Extended')
+x, y = X[0], X[1]
+y_S = 1 - y_A - y_C
+
+# Plot results
+levelsf = 10
+levels = 10
+
+# y_A
+plt.figure(figsize=(2, 4))
+c = plt.tricontourf(x, y, y_A, levelsf)
+plt.colorbar(c)
+plt.tricontour(x, y, y_A, levels, colors='black')
+plt.title('$y_A$')
+plt.show()
+
+# y_C
+plt.figure(figsize=(2, 4))
+c = plt.tricontourf(x, y, y_C, levelsf)
+plt.colorbar(c)
+plt.tricontour(x, y, y_C, levels, colors='black')
+plt.title('$y_C$')
+plt.show()
+
+# y_S
+plt.figure(figsize=(2, 4))
+c = plt.tricontourf(x, y, y_S, levelsf)
+plt.colorbar(c)
+plt.tricontour(x, y, y_S, levels, colors='black')
+plt.title('$y_S$')
+plt.show()
+
+# phi
+plt.figure(figsize=(2, 4))
+c = plt.tricontourf(x, y, phi, levelsf)
+plt.colorbar(c)
+plt.tricontour(x, y, phi, levels, colors='black')
+plt.title('$\\varphi$')
+plt.show()
+
+# p
+plt.figure(figsize=(2, 4))
+c = plt.tricontourf(x, y, p, levelsf)
+plt.colorbar(c)
+plt.tricontour(x, y, p, levels, colors='black')
+plt.title('$p$')
+plt.show()
+
+# Save the results
+np.savez('../../Data/ElectrolyticDiode/NoBias.npz', phi_bias=phi_bias, g_phi=g_phi, y_fixed=y_fixed, z_A=z_A, z_C=z_C, K=K, Lambda2=Lambda2, a2=a2, number_cells=number_cells, Lx=Lx, Ly=Ly, x0=x0, x1=x1, solvation=0, rtol=rtol, relax_param=relax_param, max_iter=max_iter, y_A=y_A, y_C=y_C, y_S=y_S, phi=phi, p=p, x=x, y=y)
diff --git a/examples/Visualizations/ElectrolyticDiode.py b/examples/Visualizations/ElectrolyticDiode.py
new file mode 100644
index 0000000..1ee4f5e
--- /dev/null
+++ b/examples/Visualizations/ElectrolyticDiode.py
@@ -0,0 +1,99 @@
+'''
+Jan Habscheid
+Jan.Habscheid@rwth-aachen.de
+'''
+
+import matplotlib.pyplot as plt
+import numpy as np
+
+
+# Load data
+data_ForwardBias = np.load('../Data/ElectrolyticDiode/ForwardBias.npz')
+y_A_Forward = data_ForwardBias['y_A']
+y_C_Forward = data_ForwardBias['y_C']
+y_S_Forward = data_ForwardBias['y_S']
+phi_Forward = data_ForwardBias['phi']
+p_Forward = data_ForwardBias['p']
+x_Forward = data_ForwardBias['x']
+y_Forward = data_ForwardBias['y']
+
+data_BackwardBias = np.load('../Data/ElectrolyticDiode/BackwardBias.npz')
+y_A_Backward = data_BackwardBias['y_A']
+y_C_Backward = data_BackwardBias['y_C']
+y_S_Backward = data_BackwardBias['y_S']
+phi_Backward = data_BackwardBias['phi']
+p_Backward = data_BackwardBias['p']
+x_Backward = data_BackwardBias['x']
+y_Backward = data_BackwardBias['y']
+
+data_NoBias = np.load('../Data/ElectrolyticDiode/NoBias.npz')
+y_A_NoBias = data_NoBias['y_A']
+y_C_NoBias = data_NoBias['y_C']
+y_S_NoBias = data_NoBias['y_S']
+phi_NoBias = data_NoBias['phi']
+p_NoBias = data_NoBias['p']
+x_NoBias = data_NoBias['x']
+y_NoBias = data_NoBias['y']
+
+y_A_packed = [y_A_Forward, y_A_NoBias, y_A_Backward]
+y_C_packed = [y_C_Forward, y_C_NoBias, y_C_Backward]
+y_S_packed = [y_S_Forward, y_S_NoBias, y_S_Backward]
+phi_packed = [phi_Forward, phi_NoBias, phi_Backward]
+p_packed = [p_Forward, p_NoBias, p_Backward]
+x_packed = [x_Forward, x_NoBias, x_Backward]
+y_packed = [y_Forward, y_NoBias, y_Backward]
+
+# Plot
+color_theme_potential = 'coolwarm'
+color_theme_concentration = 'viridis'
+color_theme_pressure = 'cividis'
+
+fig, axs = plt.subplots(nrows=3, ncols=5, figsize=(30, 30))
+labelsize = 30
+legend_width = 8
+levels_colorbar = 20
+levels_contour = 20
+
+for bias, (y_A, y_C, y_S, phi, p, x, y) in enumerate(zip(y_A_packed, y_C_packed, y_S_packed, phi_packed, p_packed, x_packed, y_packed)): 
+    c = axs[bias,0].tricontourf(x, y, phi, cmap=color_theme_potential, levels=np.linspace(np.min(phi),np.max(phi),levels_colorbar))#, extend="both")
+    # c.cmap.set_under('k')
+    c.set_clim(np.min(phi), np.max(phi))
+    cbar = fig.colorbar(c, ax=axs[bias,0])
+    cbar.ax.tick_params(labelsize=labelsize)
+    axs[bias,0].tricontour(x, y, phi, colors='black', levels=levels_contour)
+    axs[bias,0].tick_params(axis='both', labelsize=labelsize)
+
+    vmap_concentrations = np.linspace(0, 1, levels_colorbar)
+    c = axs[bias,1].tricontourf(x, y, y_A, cmap=color_theme_concentration, vmin=np.min(y_A), vmax=np.max(y_A), levels=vmap_concentrations)#, extend='both')
+    # cbar = fig.colorbar(c, ax=axs[bias,1], boundaries=np.linspace(0,1,5))
+    # cbar.solids.set_edgecolor("face")
+    # cbar.ax.tick_params(labelsize=labelsize)
+    axs[bias,1].tricontour(x, y, y_A, colors='black', levels=levels_contour)
+    axs[bias,1].tick_params(axis='both', labelsize=labelsize)
+
+    c = axs[bias,2].tricontourf(x, y, y_C, cmap=color_theme_concentration, levels=vmap_concentrations)
+    # cbar = fig.colorbar(c, ax=axs[bias,2])
+    # cbar.ax.tick_params(labelsize=labelsize)
+    axs[bias,2].tricontour(x, y, y_C, colors='black', levels=levels_contour)
+    axs[bias,2].tick_params(axis='both', labelsize=labelsize)
+
+    c = axs[bias,3].tricontourf(x, y, y_S, cmap=color_theme_concentration, levels=vmap_concentrations)
+    cbar = fig.colorbar(c, ax=axs[bias,3])
+    cbar.ax.tick_params(labelsize=labelsize)
+    axs[bias,3].tricontour(x, y, y_S, colors='black', levels=levels_contour)
+    axs[bias,3].tick_params(axis='both', labelsize=labelsize)
+
+    c = axs[bias,4].tricontourf(x, y, p, cmap=color_theme_pressure, levels=np.linspace(np.min(p),np.max(p),levels_colorbar))
+    cbar = fig.colorbar(c, ax=axs[bias,4])
+    cbar.ax.tick_params(labelsize=labelsize)
+    axs[bias,4].tricontour(x, y, p, colors='black', levels=levels_contour)
+    axs[bias,4].tick_params(axis='both', labelsize=labelsize)
+
+axs[0,0].set_title('$\\varphi [-]$', fontsize=labelsize)
+axs[0,1].set_title('$y_A [-]$', fontsize=labelsize)
+axs[0,2].set_title('$y_C [-]$', fontsize=labelsize)
+axs[0,3].set_title('$y_S [-]$', fontsize=labelsize)
+axs[0,4].set_title('$p [-]$', fontsize=labelsize)
+fig.tight_layout()
+fig.savefig('../Figures/ElectrolyticDiode.svg')
+fig.show()
\ No newline at end of file
diff --git a/src/ElectrolyticDiode.py b/src/ElectrolyticDiode.py
index 647f6dd..c3a452b 100644
--- a/src/ElectrolyticDiode.py
+++ b/src/ElectrolyticDiode.py
@@ -19,7 +19,7 @@ import matplotlib.pyplot as plt
 from ufl import Measure
 from dolfinx.mesh import locate_entities, meshtags
 
-def ElectrolyticDiode(Bias_type:str, phi_bias:float, z_A:float, z_C:float, y_A_bath:float, y_C_bath:float, K:float|str, Lambda2:float, a2:float, number_cells:list, solvation:float = 0, PoissonBoltzmann:bool=False, relax_param:float=None, Lx:float=2, Ly:float=10, rtol:float=1e-8, max_iter:float=500, return_type:str='Vector'):
+def ElectrolyticDiode(Bias_type:str, phi_bias:float, g_phi:float, z_A:float, z_C:float, y_A_bath:float, y_C_bath:float, K:float|str, Lambda2:float, a2:float, number_cells:list, solvation:float = 0, PoissonBoltzmann:bool=False, relax_param:float=None, Lx:float=2, Ly:float=10, rtol:float=1e-8, max_iter:float=500, return_type:str='Vector'):
     '''
     Solves the system of equations for the example of an electric diode
 
@@ -33,6 +33,8 @@ def ElectrolyticDiode(Bias_type:str, phi_bias:float, z_A:float, z_C:float, y_A_b
         ForwardBias, NoBias, BackwardBias
     phi_bias : float
         Bias in φ
+    g_phi : float
+        Neumann boundary condition for φ
     z_A : float
         Charge number of species A
     z_C : float
@@ -272,7 +274,7 @@ def ElectrolyticDiode(Bias_type:str, phi_bias:float, z_A:float, z_C:float, y_A_b
 
 if __name__ == '__main__':
     phi_bias = 10
-    Bias_type = 'BackwardBias' # 'ForwardBias', 'NoBias', 'BackwardBias'
+    Bias_type = 'ForwardBias' # 'ForwardBias', 'NoBias', 'BackwardBias'
     g_phi = 5
     y_fixed = 0.01
     z_A = -1.0
@@ -297,7 +299,7 @@ if __name__ == '__main__':
     max_iter = 15_000    
 
     # Solve the system
-    y_A, y_C, phi, p, X = ElectrolyticDiode(Bias_type, phi_bias, z_A, z_C, y_fixed, y_fixed, K, Lambda2, a2, number_cells, solvation, PoissonBoltzmann, relax_param, Lx, Ly, rtol, max_iter, return_type='Vector')
+    y_A, y_C, phi, p, X = ElectrolyticDiode(Bias_type, phi_bias, g_phi, z_A, z_C, y_fixed, y_fixed, K, Lambda2, a2, number_cells, solvation, PoissonBoltzmann, relax_param, Lx, Ly, rtol, max_iter, return_type='Vector')
     x, y = X[0], X[1]
     y_S = 1 - y_A - y_C
 
diff --git a/src/__pycache__/ElectrolyticDiode.cpython-312.pyc b/src/__pycache__/ElectrolyticDiode.cpython-312.pyc
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-- 
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