{ "cells": [ { "cell_type": "markdown", "id": "1cd2dacd", "metadata": {}, "source": [ "# Plot colours\n", "\n", "PyTES has its own plot colours (DESIGN D15), chosen to stay readable with colour-vision\n", "deficiency and led by the brand orange:\n", "\n", "- the colour cycles **PyTES Thermal**, for light backgrounds, and **PyTES Thermal (dark)**,\n", " for dark ones, as the matplotlib styles `\"pytes.thermal\"` and `\"pytes.thermal_dark\"`;\n", "- the colourmaps **ember** (sequential) and **thaw** (diverging), perceptually uniform,\n", " registered with matplotlib as `\"pytes.ember\"` and `\"pytes.thaw\"` (and reversed, ending\n", " in `_r`) when `pytes.plotting` is imported.\n", "\n", "They are available but not yet the default: matplotlib's own colours apply until you ask for\n", "these. This notebook shows each of them on a packed bed charge.\n", "\n", "[Tutorial 5](getting_started/tutorial_5_plotting.ipynb) introduces plotting PyTES solutions." ] }, { "cell_type": "code", "execution_count": 1, "id": "48b236f6", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T09:34:15.840301Z", "iopub.status.busy": "2026-10-30T09:34:15.840115Z", "iopub.status.idle": "2026-10-30T09:34:19.216578Z", "shell.execute_reply": "2026-10-30T09:34:19.215412Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pybamm\n", "from matplotlib.colors import CenteredNorm\n", "\n", "import pytes\n", "from pytes import plotting\n", "\n", "model = pytes.PackedBedModel()\n", "solution = pybamm.Simulation(model).solve([0, 1800])" ] }, { "cell_type": "markdown", "id": "e91fd9d9", "metadata": {}, "source": [ "## Colour cycles\n", "\n", "Use a cycle for one figure with `plt.style.context`, or for every figure with\n", "`plt.style.use(\"pytes.thermal\")`. Seven fluid temperature profiles, every 2.5 minutes as the charge front crosses the\n", "bed, use all seven colours in order:" ] }, { "cell_type": "code", "execution_count": 2, "id": "cec00a07", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T09:34:19.218838Z", "iopub.status.busy": "2026-10-30T09:34:19.218387Z", "iopub.status.idle": "2026-10-30T09:34:19.426481Z", "shell.execute_reply": "2026-10-30T09:34:19.425440Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = np.linspace(0, 900, 7)\n", "with plt.style.context(\"pytes.thermal\"):\n", " plotting.plot_fluid_profiles(solution, times)\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "a8583c14", "metadata": {}, "source": [ "For dark backgrounds, combine a dark style with PyTES Thermal (dark), which comes second so\n", "that its colours win:" ] }, { "cell_type": "code", "execution_count": 3, "id": "0fb03cf3", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T09:34:19.428096Z", "iopub.status.busy": "2026-10-30T09:34:19.427960Z", "iopub.status.idle": "2026-10-30T09:34:19.604940Z", "shell.execute_reply": "2026-10-30T09:34:19.603901Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with plt.style.context([\"dark_background\", \"pytes.thermal_dark\"]):\n", " plotting.plot_fluid_profiles(solution, times)\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "5875713f", "metadata": {}, "source": [ "The colours are also `plotting.THERMAL` and `plotting.THERMAL_DARK`. A style does not reach\n", "`pybamm.QuickPlot` (and so `Simulation.plot`) until PyBaMM uses matplotlib's colour cycle\n", "there (pybamm-team/PyBaMM#5953); meanwhile, pass the colours to it:\n", "`pybamm.QuickPlot(solution, colors=list(plotting.THERMAL))`.\n", "\n", "## Colourmaps\n", "\n", "Ember runs from dark brown through the brand orange to cream, with lightness rising steadily\n", "and equal perceptual steps, so it suits a field such as the fluid temperature along the bed\n", "over time:" ] }, { "cell_type": "code", "execution_count": 4, "id": "b5a65310", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T09:34:19.606632Z", "iopub.status.busy": "2026-10-30T09:34:19.606490Z", "iopub.status.idle": "2026-10-30T09:34:19.762595Z", "shell.execute_reply": "2026-10-30T09:34:19.761551Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fluid = solution[\"Heat transfer fluid temperature [degC]\"]\n", "z = fluid.mesh.nodes\n", "t = solution[\"Time [h]\"].entries\n", "T = fluid(t=solution.t, z=z)\n", "\n", "fig, ax = plt.subplots(figsize=(5, 3.5), layout=\"constrained\")\n", "field = ax.pcolormesh(t, z, T, cmap=\"pytes.ember\", shading=\"nearest\")\n", "fig.colorbar(field, label=\"Fluid temperature [°C]\")\n", "ax.set_xlabel(\"Time [h]\")\n", "ax.set_ylabel(\"Distance along the flow path [m]\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8f33876c", "metadata": {}, "source": [ "Thaw is diverging, from blue through a pale centre to orange. Centre it on a reference value\n", "with matplotlib's `CenteredNorm`, here the PCM melting temperature: the pale band is the\n", "fluid at the melting temperature, orange above it and blue below. `CenteredNorm` makes the\n", "range symmetric about the centre, so a kelvin is the same step in colour on both sides,\n", "and the orange side stops short of its darkest red because the fluid never gets 28 K above\n", "the melting temperature. (`TwoSlopeNorm` would stretch each half over its own range, here\n", "28 K below the centre and 10 K above, so that a kelvin would look 2.8 times bigger above\n", "it. It suits two sides that are not comparable, such as different units.)" ] }, { "cell_type": "code", "execution_count": 5, "id": "7f482af6", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T09:34:19.764128Z", "iopub.status.busy": "2026-10-30T09:34:19.763970Z", "iopub.status.idle": "2026-10-30T09:34:19.922848Z", "shell.execute_reply": "2026-10-30T09:34:19.921419Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T_melt = model.default_parameter_values[\"PCM melting temperature [K]\"] - 273.15\n", "norm = CenteredNorm(vcenter=T_melt)\n", "\n", "fig, ax = plt.subplots(figsize=(5, 3.5), layout=\"constrained\")\n", "field = ax.pcolormesh(t, z, T, cmap=\"pytes.thaw\", norm=norm, shading=\"nearest\")\n", "fig.colorbar(field, label=\"Fluid temperature [°C]\")\n", "ax.set_xlabel(\"Time [h]\")\n", "ax.set_ylabel(\"Distance along the flow path [m]\")\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.14.4" } }, "nbformat": 4, "nbformat_minor": 5 }