{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tortuosity $\\tau(x)$ of graded electrodes" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import tifffile\n", "import matplotlib.pyplot as plt\n", "import taufactor as tau" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2D validation structures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate structures and visualise them..." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Lx = 100e-6\n", "nx = 250\n", "\n", "structures = [\"diagonals\", \"diag-pillars\", \"large-small\", \"small-large\", \"smooth-rough\", \"wedge\"]\n", "fields = {}\n", "\n", "cube_size = 25\n", "x, y, z = np.ogrid[:nx, :nx, :1]\n", "\n", "pattern = (((x + y + z) // cube_size) % 2)\n", "fields[\"diagonals\"] = pattern\n", "\n", "pillars = x - x + ((y // cube_size) + (z // cube_size)) % 2\n", "pattern = np.zeros((nx, nx, 1))\n", "pattern[:125,:] = pillars[:125,:]\n", "pattern[125:,:] = fields['diagonals'][:125,:]\n", "fields[\"diag-pillars\"] = np.roll(pattern[::-1,:,:], shift=10, axis=1)\n", "\n", "pattern = np.zeros((nx, nx, 1))\n", "pattern[:125,0:40] = 1\n", "pattern[125:,15:25] = 1\n", "pattern[:,50:100] = pattern[:,:50]\n", "pattern[:,100:200] = pattern[:,:100]\n", "pattern[:,200:250] = pattern[:,:50]\n", "pattern = np.roll(pattern, shift=5, axis=1)\n", "fields[\"large-small\"] = pattern\n", "fields[\"small-large\"] = pattern[::-1,:,:].copy()\n", "\n", "pattern = pillars.copy()\n", "pattern[0::2, :, :] = np.roll(pattern[0::2, :, :], shift=1, axis=1)\n", "pattern[:125,:] = pillars[:125,:]\n", "fields[\"smooth-rough\"] = np.roll(pattern, shift=10, axis=1)\n", "\n", "pattern = np.zeros((nx, nx, 1))\n", "mask = ((x+0.5)/nx + 4*(y+0.5)/nx < 2) & ((x+0.5)/nx - 4*(y+0.5)/nx < 0)\n", "pattern[mask] = 1\n", "pattern[:,125:] = pattern[:,:125][:,::-1]\n", "pattern[-1,:] = 0\n", "fields[\"wedge\"] = pattern\n", "\n", "fig, axes = plt.subplots(nrows=1, ncols=6, figsize=(16, 8), dpi=300)\n", "for i, structure in enumerate(structures):\n", " data2d = fields[structure][:, :, 0].T\n", " axes[i].imshow(data2d, cmap='gray', interpolation='none')\n", " axes[i].set_aspect('equal')\n", " axes[i].set_title(structure)\n", " axes[i].set_xlim(0, nx)\n", " axes[i].set_ylim(0, nx)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we compute the spatial microstructure descriptors $\\epsilon(x)$, $a_\\text{act}(x)$ and $\\tau(x)$ from transport-reaction simulation:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most tortuositiy solvers in taufactor can take batches of microstructures as an input. The only constraint is your GPU RAM. The slowest converging microstructure will determine the total runtime of the simulation i.e. if one structure is wildly different and takes much longer than all other structures to converge this might not be the most efficient approach." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(6, 250, 250, 1)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "batch = np.stack([fields[structure] for structure in structures], axis=0)\n", "batch.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Typically a convergence criterion of $10^{-3}$ is enough for convergence of $\\tau$ but it could be that the concentration field is not fully converged yet. The spacing argument in the solver initiation is important to correctly scale the specific surface area determined from the microstructure." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "converged to: [2.00723604 1.4835232 0.86330487 2.35625425 1.28433812 0.76093445] after: 1900 iterations in: 0.4991s (0.0003 s/iter)\n", "GPU-RAM currently 8.09 MB (max allocated 11.09 MB; 23.07 MB reserved)\n" ] } ], "source": [ "s = tau.PeriodicElectrodeSolver(batch, device='cuda', spacing=Lx/nx)\n", "tau_pore = s.solve(iter_limit=50000, conv_crit=1e-3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use the available plotting options to check if your solver is converged. The ``verbose='debug'`` option shows the change in tortuosity values for all batch elements in one plot. We see that the scalar $\\tau$ values plateau after a couple iterations." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iter: 1900, conv error: 9.915E-04, tau: 2.35625 (batch element 3)\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "converged to: [2.00723604 1.4835232 0.86330487 2.35625425 1.28433812 0.76093445] after: 1900 iterations in: 2.4248s (0.0013 s/iter)\n", "GPU-RAM currently 8.09 MB (max allocated 11.09 MB; 44.04 MB reserved)\n" ] } ], "source": [ "s = tau.PeriodicElectrodeSolver(batch, device='cuda', spacing=Lx/nx)\n", "tau_pore = s.solve(iter_limit=50000, conv_crit=1e-3, verbose='debug', plot_interval=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, the ``verbose='plot'`` option which shows the relevant metrics for the batch element with the highest convergence error shows that the field are not really fully converged yet. Ideally the green curve should have a value of close to zero everywhere in the domain." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iter: 200000, conv error: 2.244E-05, tau: 2.35396 (batch element 3)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Warning: not converged\n", "unconverged value of tau: [2.00811413 1.48497729 0.86372439 2.35396027 1.28433012 0.7580865 ] after: 200000 iterations in: 74.8732s (0.0004 s/iter)\n", "GPU-RAM currently 8.09 MB (max allocated 11.16 MB; 44.04 MB reserved)\n" ] } ], "source": [ "s = tau.PeriodicElectrodeSolver(batch, device='cuda', spacing=Lx/nx)\n", "tau_pore = s.solve(iter_limit=200000, conv_crit=1e-5, verbose='plot', plot_interval=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Interestingly, this has minor effects on the determined values of $\\tau$ so it seems like we can actually already extract $\\tau(x)$ from the transient of the simulation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The printed values of $\\tau$ correspond to the equivalent scalar $\\tau_\\text{EIS}$ values determined by feeding all microstructure descriptors $\\epsilon(x)$, $a_\\text{act}(x)$ and $\\tau(x)$ into a transmission line model. The actual spatial descriptors can be queried from the solver object as ``s.eps_x``, ``s.a_x`` and ``s.tau_x``. We extract them into dictionaries to plot them later on." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "vol_x = {}\n", "a_x = {}\n", "tau_x = {}\n", "c_x = {}\n", "fields_c = {}\n", "for i, structure in enumerate(structures):\n", " vol_x[structure] = s.vol_x[i]\n", " a_x[structure] = s.a_x[i]\n", " tau_x[structure] = s.tau_x[i]\n", " c_x[structure] = s.c_x[i]\n", " fields_c[structure] = s.field[i,1:-1,1:-1,1:-1].cpu().numpy()\n", "\n", "# Smooth zigzag area data for better visualization\n", "a_x['wedge'][1:-1] = np.mean(a_x['wedge'][1:-1])" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_511676/2427557046.py:54: UserWarning: The figure layout has changed to tight\n", " plt.tight_layout()\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib.ticker import FormatStrFormatter\n", "fig, axes = plt.subplots(nrows=4, ncols=6, figsize=(12, 6), dpi=70,\n", " constrained_layout=True,\n", " gridspec_kw={'height_ratios': [1.0, 0.4, 0.4, 1]})\n", "for i, structure in enumerate(structures):\n", " lw = 2\n", " data1 = fields_c[structure][:, :, 0].T\n", " data2 = fields[structure][:, :, 0].T\n", " alpha = np.clip(data2==0, 0, 1).astype(float)\n", " # Plot the concentration in turbo plus mask in black\n", " axes[0, i].imshow(data1, cmap='turbo_r', interpolation='none', vmin=0.3, vmax=1)\n", " axes[0, i].imshow(data2, cmap='gray', interpolation='none', alpha=alpha)\n", " axes[0, i].set_aspect('equal')\n", " axes[0, i].set_title(structure)\n", " # Set axis limits as needed (adjust these if necessary)\n", " axes[0, i].set_xlim(0, nx)\n", " axes[0, i].set_ylim(0, nx)\n", " axes[0, i].set_xticks([])\n", " axes[0, i].set_yticks([])\n", "\n", " ax_line = axes[1, i]\n", " vx = np.asarray(vol_x[structure]).squeeze()\n", " xv = np.linspace(0, nx, num=vx.size, endpoint=False)\n", " ax_line.plot(xv, vx, color='blue', linewidth=lw)\n", " ax_line.set_xlim(0, nx)\n", " ax_line.set_ylim(0, 1)\n", " axes[1, i].set_xticks([])\n", " ax_line.grid(True, alpha=0.3)\n", "\n", " ax_line = axes[2, i]\n", " vx = np.asarray(a_x[structure]).squeeze() / 1e6\n", " xv = np.linspace(0, nx, num=vx.size, endpoint=False)\n", " ax_line.plot(xv, vx, color='red', linewidth=lw)\n", " ax_line.set_xlim(0, nx)\n", " ax_line.set_ylim(0, 0.25)\n", " ax_line.set_yticks([0,0.2])\n", " ax_line.yaxis.set_major_formatter(FormatStrFormatter('%.1f'))\n", " axes[2, i].set_xticks([])\n", " ax_line.grid(True, alpha=0.3)\n", "\n", " ax_line = axes[3, i]\n", " vx = np.asarray(tau_x[structure]).squeeze()\n", " xv = np.linspace(0, nx, num=vx.size, endpoint=False)\n", " ax_line.plot(xv, vx, color='green', linewidth=lw)\n", " ax_line.set_xlim(0, nx)\n", " ax_line.set_ylim(0, 2.5)\n", " ax_line.yaxis.set_major_formatter(FormatStrFormatter('%.1f'))\n", " ax_line.grid(True, alpha=0.3, axis='y')\n", " axes[1, 0].set_ylabel('$\\\\epsilon(x)$')\n", " axes[2, 0].set_ylabel('$a(x)$')\n", " axes[3, 0].set_ylabel('$\\\\tau(x)$')\n", " ax_line.set_xlabel('voxels')\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Battery electrode example\n", "\n", "For this exemplary analysis, we use a three-phase electrode (pore, NMC and carbon-binder-domain) which has been generated by Polaron. The generator was trained on the openly available dataset of a commercial NMC electrode from x-ray tomography [Usseglio-Viretta et. al. 2018](https://iopscience.iop.org/article/10.1149/2.0731814jes/pdf)." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Stack shape: (256, 256, 256)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "electrode = tifffile.imread('electrode.tiff')\n", "print(\"Stack shape:\", electrode.shape)\n", "\n", "labels = {\"pore\":0, \"NMC\":85, \"CBD\":170}\n", "boxsize = 100e-6 # physical domain in m\n", "px = boxsize/electrode.shape[0] # pixel resolution in m\n", "\n", "plt.imshow(electrode[:,:,0].T, cmap='gray_r', interpolation='none')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Determine overall volume fractions and surface areas" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "volume fractions: {'pore': 0.44991737604141235, 'NMC': 0.40046632289886475, 'CBD': 0.1496163010597229}\n", "specific surface areas: {'pore': 785502.4719238281, 'NMC': 374027.55737304693, 'CBD': 876099.5483398439}\n" ] } ], "source": [ "vol_frac = tau.metrics.volume_fraction(electrode , labels)\n", "print(\"volume fractions: \" + str(vol_frac))\n", "\n", "surface_areas = tau.metrics.specific_surface_area(electrode, phases=labels, spacing=(px,px,px), method='face_counting')\n", "print(\"specific surface areas: \" + str(surface_areas))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we check the connectivity of the pore phase. This is important as disconnected pores will slow down convergence and lead to large noise in the determined tortuosity $\\tau(x)$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "With | side | edge | corner | connectivity\n", " x = | 0.9989 | 0.9995 | 0.9996 | % of pore are connected\n", " x = | 0.9611 | 0.9612 | 0.9612 | % of NMC are connected\n", " x = | 0.9740 | 0.9915 | 0.9936 | % of CBD are connected\n" ] } ], "source": [ "through_fraction = {}\n", "for key, value in labels.items():\n", " through_fraction[key] = {}\n", " _, through_fraction[key]['x'] = tau.metrics.extract_through_feature(electrode, value, 'x', connectivity=None)\n", " # _, through_fraction[key]['y'] = tau.metrics.extract_through_feature(electrode, value, 'y', connectivity=None)\n", " # _, through_fraction[key]['z'] = tau.metrics.extract_through_feature(electrode, value, 'z', connectivity=None)\n", "\n", "print( \"With | side | edge | corner | connectivity\")\n", "for key, value in labels.items():\n", " print(f\" x = | {through_fraction[key]['x'][0]:.4f} | {through_fraction[key]['x'][1]:.4f} | {through_fraction[key]['x'][2]:.4f} | % of {key} are connected\")\n", " # print(f\" y = | {through_fraction[key]['y'][0]:.4f} | {through_fraction[key]['y'][1]:.4f} | {through_fraction[key]['y'][2]:.4f} | % of {key} are connected\")\n", " # print(f\" z = | {through_fraction[key]['z'][0]:.4f} | {through_fraction[key]['z'][1]:.4f} | {through_fraction[key]['z'][2]:.4f} | % of {key} are connected\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If ``extract_through_feature`` is called with ``connectivity=None``, then all three possible connectivity types will be checked. The meaning of connectivity types in 3D is:\n", "- 1: faces (each voxel has 6 touching neighbours),\n", "- 2: faces + edges (18 neighbours),\n", "- 3: faces + edges + corners (26 neighbours).\n", "\n", "The first type is relevant for our simulations as the finite difference stencil used in this case is based on face-touching neighbours. All other connectivity types (e.g. two pore voxels connected only by sharing an edge or a corner) will appear disconnected in the numerical scheme." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we determine the spatial tortuosity $\\tau(x)$.\n", "Note that we're using the ``ElectrodeSolver`` here as this microstructure is not periodic while previously the ``PeriodicElectrodeSolver`` was used.\n", "\n", "Defining the conductive label as ``conductive_label=labels[\"pore\"]`` means we're solving for transport in the electrolyte domain while ``reactive_label=labels[\"NMC\"]`` defines all pairwise interfaces between pore and NMC as active for the intercalation reaction. All other labels are considered inactive i.e. they do neither contribute to transport nor are they active for intercalation." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iter: 3000, conv error: 2.516E-04, tau: 2.07289 (batch element 0)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "converged to: [2.07291984] after: 3800 iterations in: 59.3405s (0.0156 s/iter)\n", "GPU-RAM currently 339.74 MB (max allocated 473.96 MB; 805.31 MB reserved)\n" ] } ], "source": [ "s = tau.ElectrodeSolver(electrode, device='cuda', spacing=px,\n", " conductive_label=labels[\"pore\"], reactive_label=labels[\"NMC\"])\n", "tau_electrode = s.solve(iter_limit=50000, conv_crit=1e-4, plot_interval=10, verbose='plot')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As mentioned earlier, disconnected pores contributed massively to wrong slice averages of concentration, fluxes and, thus, tortuosity values. We therefore extract the connected feature first and re-label all connected pores before solving." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iter: 3000, conv error: 2.388E-04, tau: 2.06577 (batch element 0)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "converged to: [2.06580016] after: 3800 iterations in: 59.3753s (0.0156 s/iter)\n", "GPU-RAM currently 679.48 MB (max allocated 813.69 MB; 1012.92 MB reserved)\n" ] } ], "source": [ "feature, _ = tau.metrics.extract_through_feature(electrode, labels[\"pore\"], 'x', open_end=False)\n", "labels[\"connected_pore\"] = 1\n", "electrode[feature[0]==1] = labels[\"connected_pore\"]\n", "\n", "s = tau.ElectrodeSolver(electrode, device='cuda', spacing=px,\n", " conductive_label=labels[\"connected_pore\"], reactive_label=labels[\"NMC\"])\n", "tau_electrode = s.solve(iter_limit=50000, conv_crit=1e-4, plot_interval=10, verbose='plot')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The tortuosity profiles can still be noisy depending on the cube size in the $y$-$z$-plane. But generally we never need such high resolution (in this case $256$ sample points in $x$-direction as the cube is $256^3$) because cell models like [PyBaMM](https://pybamm.org/) typically work with 20-50 grid points along the thickness direction of the electrode. Therefore, we can smooth the curves by downsampling and taking the correct volume averages for these quantities. Be careful with $\\tau(x)$ as it is not just the arithmetic mean!" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def downsample_and_plot(s, factor, color='blue'):\n", " M = len(s.vol_x[0]) // factor\n", " vol_xc = s.vol_x[0][:M*factor].reshape(M, factor).mean(axis=1)\n", " a_xc = s.a_x[0][:M*factor].reshape(M, factor).mean(axis=1)\n", " tau_xc = (s.tau_x[0]/s.vol_x[0])[:M*factor].reshape(M, factor).mean(axis=1) * vol_xc\n", " x_down = np.linspace(0, 1, vol_xc.shape[0])\n", " axes[0].plot(x_down, vol_xc, color=color, label=f'Downsample x{factor} ({x_down.size} points)')\n", " axes[1].plot(x_down, a_xc, color=color)\n", " axes[2].plot(x_down, tau_xc, color=color)\n", "\n", "fig, axes = plt.subplots(nrows=1, ncols=3, figsize=(8, 3), dpi=100)\n", "x_orig = np.linspace(0, 1, s.vol_x[0].shape[0])\n", "axes[0].plot(x_orig, s.vol_x[0], 'r--', label=f'Original ({x_orig.size} points)')\n", "axes[0].set_ylim(0.42, 0.48)\n", "axes[1].plot(x_orig, s.a_x[0], 'r--')\n", "axes[1].set_ylim(1e5, 1.7e5)\n", "axes[2].plot(x_orig, s.tau_x[0], 'r--')\n", "axes[2].set_ylim(0, 4)\n", "\n", "downsample_and_plot(s, factor=2, color='blue')\n", "downsample_and_plot(s, factor=4, color='green')\n", "\n", "titles = ['Volume fraction $\\\\varepsilon(x)$', 'Interfacial area $a(x)$', 'Tortuosity $\\\\tau(x)$']\n", "for ax, title in zip(axes, titles):\n", " ax.set_title(title)\n", " ax.set_xlim(0, 1)\n", " ax.grid(True, alpha=0.25)\n", "fig.legend(loc='upper center', ncol=3, frameon=False, bbox_to_anchor=(0.5, 0))\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "voxenv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.11" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }