{ "cells": [ { "cell_type": "markdown", "id": "5d7017a4", "metadata": {}, "source": [ "# Advection scheme\n", "\n", "The fluid's enthalpy is advected along the flow path by upwinding. PyBaMM's upwinding takes\n", "the value on each cell face from the cell upstream of it: first order, so it smears a\n", "temperature front as it moves along the flow path, and the error only halves when the mesh\n", "is doubled.\n", "\n", "PyTES models use a second-order scheme by default (MUSCL, with the van Albada limiter), on\n", "uniform or non-uniform meshes. It only changes the values on the cell faces, so the model,\n", "its variables and its exact energy balance are the same with either. The first-order scheme\n", "is selected as any PyBaMM spatial method:\n", "\n", "```python\n", "spatial_methods = {\n", " **model.default_spatial_methods,\n", " \"flow path\": pytes.compat.fluid_spatial_method(\"first order\"),\n", "}\n", "pybamm.Simulation(model, spatial_methods=spatial_methods)\n", "```\n", "\n", "The second-order scheme lives in `pytes.compat` until PyBaMM's finite volumes offer it." ] }, { "cell_type": "code", "execution_count": 1, "id": "2dc5136e", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T10:06:15.298767Z", "iopub.status.busy": "2026-11-01T10:06:15.298534Z", "iopub.status.idle": "2026-11-01T10:06:18.864756Z", "shell.execute_reply": "2026-11-01T10:06:18.862481Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pybamm\n", "\n", "import pytes\n", "from pytes import validation\n", "from pytes.compat import fluid_spatial_method\n", "from pytes.materials import SensibleMaterial\n", "from pytes.submodels import DeviceEnergy, EnthalpyStorage, WallCoupling\n", "\n", "\n", "def with_scheme(model, scheme):\n", " \"\"\"The model's spatial methods, with the given scheme on the flow path\"\"\"\n", " return {**model.default_spatial_methods, \"flow path\": fluid_spatial_method(scheme)}" ] }, { "cell_type": "markdown", "id": "a4e334a2", "metadata": {}, "source": [ "## Against Schumann's solution\n", "\n", "The sensible packed bed of the [validation notebook](validation.ipynb): capsules conductive enough to be lumped,\n", "charged with fluid at 70 °C from 32 °C, against Schumann's analytical solution." ] }, { "cell_type": "code", "execution_count": 2, "id": "c48bf9c6", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T10:06:18.868366Z", "iopub.status.busy": "2026-11-01T10:06:18.867759Z", "iopub.status.idle": "2026-11-01T10:06:23.559207Z", "shell.execute_reply": "2026-11-01T10:06:23.557143Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "base = pytes.PackedBedModel()\n", "param = base.param\n", "geometry = base.submodels[\"storage\"].storage_geometry\n", "fluid = base.submodels[\"fluid\"]\n", "storage = EnthalpyStorage(param, SensibleMaterial(\"Capsule\"), geometry, label=\"Capsule\")\n", "sensible = pytes.ComposedModel(\n", " {\n", " \"fluid\": fluid,\n", " \"storage\": storage,\n", " \"coupling\": WallCoupling(param, param.fluid, \"Capsule\", geometry),\n", " \"device energy\": DeviceEnergy(param, fluid, [storage]),\n", " },\n", " param,\n", " name=\"Sensible packed bed\",\n", " defaults_from=base,\n", ")\n", "pv = base.default_parameter_values\n", "pv.update(\n", " {\n", " \"Capsule conductivity [W.m-1.K-1]\": 1e3,\n", " \"Capsule density [kg.m-3]\": 1000,\n", " \"Capsule specific heat capacity [J.kg-1.K-1]\": 2000,\n", " \"Heat transfer coefficient [W.m-2.K-1]\": 300,\n", " },\n", " check_already_exists=False,\n", ")\n", "h, R, eps = 300, pv[\"Capsule radius [m]\"], pv[\"Bed porosity\"]\n", "Z, A = pv[\"Bed length [m]\"], pv[\"Bed cross-sectional area [m2]\"]\n", "rho_f = pv[\"Heat transfer fluid density [kg.m-3]\"]\n", "c_f = pv[\"Heat transfer fluid specific heat capacity [J.kg-1.K-1]\"]\n", "a = 3 * (1 - eps) / R\n", "u = pv[\"Mass flow rate [kg.s-1]\"] / (rho_f * eps * A)\n", "xi = h * a * Z / (eps * rho_f * c_f * u)\n", "rate = h * a / ((1 - eps) * 1000 * 2000)\n", "t = np.linspace(0, 3000, 151)\n", "exact = np.array([validation.schumann(xi, rate * (ti - Z / u))[0] for ti in t])\n", "\n", "cells = [25, 50, 100, 200, 400]\n", "fig, (ax_cells, ax_time) = plt.subplots(1, 2, figsize=(10, 4))\n", "for scheme in (\"first order\", \"second order\"):\n", " errors, times = [], []\n", " for n_z in cells:\n", " solution = pybamm.Simulation(\n", " sensible,\n", " parameter_values=pv,\n", " var_pts={base.r: 5, base.z: n_z},\n", " spatial_methods=with_scheme(sensible, scheme),\n", " ).solve([0, t[-1]], t_interp=t)\n", " theta = (solution[\"Outlet temperature [K]\"].entries - 305.15) / 38\n", " errors.append(np.max(np.abs(theta - exact)))\n", " times.append(solution.solve_time.value)\n", " ax_cells.loglog(cells, errors, \"o-\", label=scheme)\n", " ax_time.loglog(times, errors, \"o-\", label=scheme)\n", "ax_cells.set_xticks(cells, [str(n) for n in cells])\n", "ax_cells.minorticks_off()\n", "ax_cells.set_xlabel(\"Cells along the bed\")\n", "ax_time.set_xlabel(\"Solve time [s]\")\n", "for ax in (ax_cells, ax_time):\n", " ax.set_ylabel(\"Largest error in the scaled outlet temperature\")\n", " ax.legend()\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9eb4b6df", "metadata": {}, "source": [ "The second-order scheme on 25 cells is more accurate than first order on 400. Its error\n", "levels off near 0.3 %: what is left is the difference between the model (a capsule\n", "conducting heat) and Schumann's (a lumped capsule), not the scheme. At equal accuracy it is\n", "far cheaper, though per cell it costs up to a few times more.\n", "\n", "## A sharp front: the finned tube\n", "\n", "The default finned-tube discharge, on 20 cells along the tube, against the second-order scheme\n", "on 80 cells." ] }, { "cell_type": "code", "execution_count": 3, "id": "72cd0677", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T10:06:23.562282Z", "iopub.status.busy": "2026-11-01T10:06:23.561868Z", "iopub.status.idle": "2026-11-01T10:06:36.656712Z", "shell.execute_reply": "2026-11-01T10:06:36.655072Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "second order, 80 cells: solve time 9.614 s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "first order, 20 cells: solve time 1.058 s\n", " largest difference from the reference: 0.820 K\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "second order, 20 cells: solve time 1.083 s\n", " largest difference from the reference: 0.163 K\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = pytes.SharpFrontModel()\n", "t = np.linspace(0, 3600, 181)\n", "\n", "\n", "def outlet(scheme, n_z):\n", " var_pts = {**model.default_var_pts, model.z: n_z}\n", " solution = pybamm.Simulation(\n", " model, var_pts=var_pts, spatial_methods=with_scheme(model, scheme)\n", " ).solve([0, t[-1]], t_interp=t)\n", " print(f\"{scheme}, {n_z} cells: solve time {solution.solve_time}\")\n", " return solution[\"Outlet temperature [degC]\"].entries\n", "\n", "\n", "reference = outlet(\"second order\", 80)\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "for scheme in (\"first order\", \"second order\"):\n", " T = outlet(scheme, 20)\n", " print(\n", " f\" largest difference from the reference: {np.max(np.abs(T - reference)):.3f} K\"\n", " )\n", " ax.plot(t / 60, T, label=f\"{scheme}, 20 cells\")\n", "ax.plot(t / 60, reference, \"k--\", label=\"second order, 80 cells\")\n", "ax.set_xlabel(\"Time [min]\")\n", "ax.set_ylabel(\"Outlet temperature [°C]\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4b6994b5", "metadata": {}, "source": [ "Energy is conserved exactly with either scheme, on uniform or stretched meshes, and the\n", "limited scheme creates no new extrema: the fluid stays between its inlet and initial\n", "temperatures. The measurements behind choosing it as the default, including the packed bed,\n", "are in the findings (F-052)." ] } ], "metadata": { "kernelspec": { "display_name": "pytes (3.14.4)", "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 }