{ "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": "2026-10-23T16:06:54.971445Z", "iopub.status.busy": "2026-10-23T16:06:54.971323Z", "iopub.status.idle": "2026-10-23T16:06:56.422809Z", "shell.execute_reply": "2026-10-23T16:06:56.421887Z" } }, "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": "2026-10-23T16:06:56.424719Z", "iopub.status.busy": "2026-10-23T16:06:56.424463Z", "iopub.status.idle": "2026-10-23T16:06:57.732079Z", "shell.execute_reply": "2026-10-23T16:06:57.731012Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "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": "2026-10-23T16:06:57.733745Z", "iopub.status.busy": "2026-10-23T16:06:57.733586Z", "iopub.status.idle": "2026-10-23T16:07:02.876773Z", "shell.execute_reply": "2026-10-23T16:07:02.875892Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "second order, 80 cells: solve time 3.769 s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "first order, 20 cells: solve time 429.006 ms\n", " largest difference from the reference: 0.820 K\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "second order, 20 cells: solve time 489.040 ms\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 }