{ "cells": [ { "cell_type": "markdown", "id": "63cb6681", "metadata": {}, "source": [ "# Time Integrators: BDF1, Crank-Nicolson, BDF2 and TR-BDF2\n", "\n", "ANTS has four implicit time integrators, selected with\n", "`TimeDependentData(time_disc=...)`:\n", "\n", "| `TemporalDiscretization` | Order | Initial flux | Entries for a time-varying external source |\n", "|---|---|---|---|\n", "| `BDF1` (default) | 1 | cell centres, `(cells, angles, groups)` | `steps`, at `edges_t[1:]` |\n", "| `CN` | 2 | cell edges, `(cells + 1, angles, groups)` | `steps + 1`, at `edges_t` |\n", "| `BDF2` | 2 | cell centres, `(cells, angles, groups)` | `steps`, at `edges_t[1:]` |\n", "| `TR_BDF2` | 2 | cell edges, `(cells + 1, angles, groups)` | `2 * steps + 1`, at `ants.gamma_time_steps(edges_t)` |\n", "\n", "A time-varying boundary source has no entry at $t = 0$: it needs `steps`\n", "entries at `edges_t[1:]`, or `2 * steps` for TR-BDF2. A source that is\n", "constant in time needs only one entry for every integrator\n", "(`ants.external1d.time_dependence_constant`). The initial flux is always passed\n", "as `SourceData(initial_flux=...)` in 1D. See\n", "[Time-Dependent Problems](../time-dependent-inputs.rst) for the other inputs.\n", "\n", "This notebook measures the order of accuracy of each integrator, then runs a\n", "stiff transient (Reed's problem) with a large time step to show how they\n", "behave when accuracy and stability pull apart. It finishes with the\n", "scattering reaction rate over time." ] }, { "cell_type": "code", "execution_count": 1, "id": "13ec65ac", "metadata": { "execution": { "iopub.execute_input": "2026-11-06T20:52:30.368169Z", "iopub.status.busy": "2026-11-06T20:52:30.367872Z", "iopub.status.idle": "2026-11-06T20:52:30.794301Z", "shell.execute_reply": "2026-11-06T20:52:30.793863Z" } }, "outputs": [], "source": [ "import os\n", "import tempfile\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from matplotlib.ticker import NullFormatter\n", "\n", "import ants\n", "from ants.datatypes import (\n", " GeometryData,\n", " MaterialData,\n", " SolverData,\n", " SourceData,\n", " TemporalDiscretization,\n", " TimeDependentData,\n", ")\n", "from ants.timed1d import time_dependent\n", "from ants.utils import manufactured_1d as mms\n", "\n", "# Plot colors: one per method, plus a neutral dashed reference\n", "COLORS = [\"#2a78d6\", \"#eb6834\", \"#1baf7a\", \"#eda100\"]\n", "REFERENCE = dict(color=\"#52514e\", ls=\"--\", lw=2)\n", "\n", "\n", "def tidy(ax):\n", " ax.grid(alpha=0.3)\n", " ax.spines[[\"top\", \"right\"]].set_visible(False)" ] }, { "cell_type": "markdown", "id": "055dda9f", "metadata": {}, "source": [ "## Order of accuracy\n", "\n", "The manufactured solution $\\psi(x, \\mu, t) = 1 + \\sin(x - t/2) + \\cos\\mu$ on\n", "$x \\in [0, \\pi]$ is smooth in time. The run goes to $t = 1$ with a 1600-cell\n", "mesh so the spatial error stays below the time error. The function below\n", "builds the inputs each integrator expects; the initial flux location and the\n", "number of source entries are the parts that differ." ] }, { "cell_type": "code", "execution_count": 2, "id": "669cab68", "metadata": { "execution": { "iopub.execute_input": "2026-11-06T20:52:30.795646Z", "iopub.status.busy": "2026-11-06T20:52:30.795545Z", "iopub.status.idle": "2026-11-06T20:52:31.356659Z", "shell.execute_reply": "2026-11-06T20:52:31.356253Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "BDF1 observed order: [0.96 0.98 0.99 0.99]\n", "CN observed order: [2. 2. 2.01 2.01]\n", "BDF2 observed order: [2.17 2.08 2.04 2.01]\n", "TR_BDF2 observed order: [2.02 2.01 2.02 1.97]\n" ] } ], "source": [ "cells = 1600\n", "edges_x = np.linspace(0.0, np.pi, cells + 1)\n", "centers_x = 0.5 * (edges_x[1:] + edges_x[:-1])\n", "quadrature = ants.angular_x(8)\n", "mu = quadrature.angle_x\n", "\n", "mms_materials = MaterialData(\n", " total=np.array([[1.0]]),\n", " scatter=np.array([[[0.0]]]),\n", " fission=np.array([[[0.0]]]),\n", " velocity=np.ones(1),\n", ")\n", "mms_geometry = GeometryData(\n", " medium_map=np.zeros(cells, dtype=np.int32), delta_x=np.diff(edges_x)\n", ")\n", "\n", "\n", "def mms_sources(time_disc, edges_t):\n", " t0 = np.array([0.0])\n", " if time_disc in (TemporalDiscretization.BDF1, TemporalDiscretization.BDF2):\n", " initial = mms.solution_td_02(centers_x, mu, t0)[0]\n", " external = ants.external1d.manufactured_td_02(centers_x, mu, edges_t)[1:]\n", " boundary = ants.boundary1d.manufactured_td_02(mu, edges_t)[1:]\n", " elif time_disc == TemporalDiscretization.CN:\n", " initial = mms.solution_td_02(edges_x, mu, t0)[0]\n", " external = ants.external1d.manufactured_td_02(centers_x, mu, edges_t)\n", " boundary = ants.boundary1d.manufactured_td_02(mu, edges_t)[1:]\n", " else: # TR-BDF2 also needs the intermediate (gamma) stage times\n", " gamma_t = ants.gamma_time_steps(edges_t)\n", " initial = mms.solution_td_02(edges_x, mu, t0)[0]\n", " external = ants.external1d.manufactured_td_02(centers_x, mu, gamma_t)\n", " boundary = ants.boundary1d.manufactured_td_02(mu, gamma_t)[1:]\n", " return SourceData(initial_flux=initial, external=external, boundary_x=boundary)\n", "\n", "\n", "def mms_error(time_disc, steps, final_time=1.0):\n", " edges_t = np.linspace(0.0, final_time, steps + 1)\n", " time_data = TimeDependentData(\n", " steps=steps, dt=final_time / steps, time_disc=time_disc\n", " )\n", " flux = time_dependent(\n", " mms_materials,\n", " mms_sources(time_disc, edges_t),\n", " mms_geometry,\n", " quadrature,\n", " SolverData(),\n", " time_data,\n", " )\n", " exact = mms.solution_td_02(centers_x, mu, np.array([final_time]))[0, :, :, 0]\n", " return np.sqrt(np.mean((flux[:, 0] - exact @ quadrature.angle_w) ** 2))\n", "\n", "\n", "step_counts = np.array([5, 10, 20, 40, 80])\n", "errors = {\n", " disc: np.array([mms_error(disc, steps) for steps in step_counts])\n", " for disc in TemporalDiscretization\n", "}\n", "\n", "fig, ax = plt.subplots(figsize=(7, 4.5))\n", "for color, (disc, error) in zip(COLORS, errors.items()):\n", " ax.loglog(1.0 / step_counts, error, color=color, lw=2, marker=\"o\", ms=6,\n", " label=disc.name)\n", "ax.set_xticks(1.0 / step_counts)\n", "ax.set_xticklabels([f\"{1 / n:g}\" for n in step_counts])\n", "ax.xaxis.set_minor_formatter(NullFormatter())\n", "ax.set_xlabel(\"Time step $\\\\Delta t$\")\n", "ax.set_ylabel(\"RMS scalar flux error at t = 1\")\n", "ax.legend(frameon=False)\n", "tidy(ax)\n", "plt.show()\n", "\n", "for disc, error in errors.items():\n", " order = np.log2(error[:-1] / error[1:])\n", " print(f\"{disc.name:8s} observed order: {np.round(order, 2)}\")" ] }, { "cell_type": "markdown", "id": "bc1aab79", "metadata": {}, "source": [ "BDF1 is first order; CN, BDF2 and TR-BDF2 are all second order, so their\n", "error drops by a factor of 4 each time $\\Delta t$ is halved. On this smooth\n", "problem, TR-BDF2 has the smallest error at every step size, about half that\n", "of CN, and BDF2's error is roughly 10 times larger than CN's." ] }, { "cell_type": "markdown", "id": "18383897", "metadata": {}, "source": [ "## A stiff transient: Reed's problem\n", "\n", "Reed's problem is a 16 cm slab with vacuum boundaries and five regions,\n", "symmetric about $x = 8$ cm:\n", "\n", "| Region | Location (cm) | $\\sigma_t$ | $\\sigma_s$ | Source |\n", "|---|---|---|---|---|\n", "| Scatterer | 0-4, 12-16 | 1 | 0.9 | 1 in 2-4 and 12-14, otherwise 0 |\n", "| Void | 4-5, 11-12 | 0 | 0 | 0 |\n", "| Absorber | 5-6, 10-11 | 5 | 0 | 0 |\n", "| Source | 6-10 | 50 | 0 | 50 |\n", "\n", "The thin void, the thick absorber and the very thick source region make it a\n", "standard stress test for transport discretizations.\n", "\n", "The source switches on at $t = 0$ with zero initial flux and $v = 1$. With a\n", "time step of $\\Delta t = 1$, the source region has $v \\sigma_t \\Delta t = 50$,\n", "so it is very stiff: the flux there reaches equilibrium almost immediately,\n", "while the scattering regions take several mean free times to fill in.\n", "\n", "Each run writes the flux at every step to a file with\n", "`TimeDependentData(save_to_file=...)`, so the history can be plotted. The\n", "reference uses BDF2 with $\\Delta t = 0.01$." ] }, { "cell_type": "code", "execution_count": 3, "id": "ec8c2d8f", "metadata": { "execution": { "iopub.execute_input": "2026-11-06T20:52:31.357985Z", "iopub.status.busy": "2026-11-06T20:52:31.357880Z", "iopub.status.idle": "2026-11-06T20:52:31.581807Z", "shell.execute_reply": "2026-11-06T20:52:31.581405Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cells, angles = 320, 8\n", "edges_x = np.linspace(0.0, 16.0, cells + 1)\n", "centers_x = 0.5 * (edges_x[1:] + edges_x[:-1])\n", "layers = [\n", " [0, \"scatterer\", \"0-4, 12-16\"],\n", " [1, \"void\", \"4-5, 11-12\"],\n", " [2, \"absorber\", \"5-6, 10-11\"],\n", " [3, \"source\", \"6-10\"],\n", "]\n", "medium_map = ants.spatial1d(layers, edges_x)\n", "reed_materials = MaterialData(\n", " total=np.array([[1.0], [0.0], [5.0], [50.0]]),\n", " scatter=np.array([[[0.9]], [[0.0]], [[0.0]], [[0.0]]]),\n", " fission=np.zeros((4, 1, 1)),\n", " velocity=np.ones(1),\n", ")\n", "reed_geometry = GeometryData(\n", " medium_map=medium_map, delta_x=np.diff(edges_x), bc_x=[0, 0], geometry=1\n", ")\n", "reed_quadrature = ants.angular_x(angles)\n", "# Constant source: one time entry works for every integrator\n", "external = ants.external1d.time_dependence_constant(\n", " ants.external1d.reeds(edges_x, [0, 0])\n", ")\n", "workdir = tempfile.mkdtemp()\n", "\n", "\n", "def run_reed(time_disc, dt, final_time=10.0):\n", " steps = round(final_time / dt)\n", " edge_based = time_disc in (TemporalDiscretization.CN, TemporalDiscretization.TR_BDF2)\n", " initial = np.zeros((cells + 1 if edge_based else cells, angles, 1))\n", " sources = SourceData(\n", " initial_flux=initial, external=external, boundary_x=np.zeros((1, 2, 1, 1))\n", " )\n", " path = os.path.join(workdir, f\"{time_disc.name}_{steps}.npy\")\n", " time_data = TimeDependentData(\n", " steps=steps, dt=dt, time_disc=time_disc, save_to_file=path\n", " )\n", " time_dependent(\n", " reed_materials, sources, reed_geometry, reed_quadrature, SolverData(), time_data\n", " )\n", " times = dt * np.arange(1, steps + 1)\n", " return times, np.load(path) # flux history: (steps, cells, groups)\n", "\n", "\n", "reference = run_reed(TemporalDiscretization.BDF2, dt=0.01)\n", "coarse = {disc: run_reed(disc, dt=1.0) for disc in TemporalDiscretization}\n", "\n", "middle = cells // 2 # x = 8 cm, the centre of the source region\n", "fig, ax = plt.subplots(figsize=(8, 4.2))\n", "ax.plot(reference[0], reference[1][:, middle, 0], label=\"Reference (BDF2, dt = 0.01)\",\n", " **REFERENCE)\n", "for color, (disc, (times, flux)) in zip(COLORS, coarse.items()):\n", " ax.plot(times, flux[:, middle, 0], color=color, lw=2, marker=\"o\", ms=6,\n", " label=f\"{disc.name}, dt = 1\")\n", "ax.set_xlabel(\"Time\")\n", "ax.set_ylabel(\"Scalar flux at x = 8 cm\")\n", "ax.set_xlim(0, 10)\n", "ax.legend(frameon=False, loc=\"upper center\", bbox_to_anchor=(0.5, -0.14), ncol=3)\n", "tidy(ax)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "52e60a5c", "metadata": {}, "source": [ "BDF1, BDF2 and TR-BDF2 all settle at the reference value of 1 within a\n", "step or two (BDF1 is hidden under the other two). Crank-Nicolson oscillates\n", "instead. For a mode this stiff, each CN step multiplies the error by\n", "$(1 - z/2) / (1 + z/2)$ with $z = v \\sigma_t \\Delta t = 50$, which is about\n", "$-0.92$. The error flips sign every step and shrinks by only 8% per step, so\n", "it lasts for the whole run. TR-BDF2 starts each step with a trapezoidal (CN)\n", "stage but finishes with a BDF2 stage, which damps the oscillation." ] }, { "cell_type": "markdown", "id": "4c01e223", "metadata": {}, "source": [ "## Scattering reaction rate over time\n", "\n", "The scattering reaction rate density is $R_s(x) = \\sum_g \\sigma_{s,g}(x)\\,\n", "\\phi_g(x)$, where $\\sigma_{s,g}$ is the total scattering cross section out of\n", "group $g$. The helper below computes it from `MaterialData.scatter`, which is\n", "indexed `[material, group out, group in]`." ] }, { "cell_type": "code", "execution_count": 4, "id": "b6e3d38a", "metadata": { "execution": { "iopub.execute_input": "2026-11-06T20:52:31.583026Z", "iopub.status.busy": "2026-11-06T20:52:31.582936Z", "iopub.status.idle": "2026-11-06T20:52:31.694946Z", "shell.execute_reply": "2026-11-06T20:52:31.694406Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "BDF1 largest error in total scattering rate: 8.68%\n", "CN largest error in total scattering rate: 0.40%\n", "BDF2 largest error in total scattering rate: 8.68%\n", "TR_BDF2 largest error in total scattering rate: 0.20%\n" ] } ], "source": [ "def scattering_rate(flux, scatter, medium_map):\n", " \"\"\"Scattering reaction rate density, sigma_s * phi, in each cell.\n", "\n", " scatter is indexed [material, group out, group in], so summing over the\n", " outgoing group gives the total scattering cross section of each group.\n", " flux has the cell axes first and groups last.\n", " \"\"\"\n", " sigma_s = scatter.sum(axis=1) # (materials, groups)\n", " return np.sum(sigma_s[medium_map] * flux, axis=-1)\n", "\n", "\n", "delta_x = np.diff(edges_x)\n", "\n", "\n", "def total_scattering(flux_history):\n", " rate = scattering_rate(flux_history, reed_materials.scatter, medium_map)\n", " return rate @ delta_x # integrate over the slab at each step\n", "\n", "\n", "ref_times, ref_flux = reference\n", "ref_total = total_scattering(ref_flux)\n", "\n", "fig, (ax0, ax1) = plt.subplots(1, 2, figsize=(13, 4.4), constrained_layout=True)\n", "ax0.plot(ref_times, ref_total, label=\"Reference (BDF2, dt = 0.01)\", **REFERENCE)\n", "for color, (disc, (times, flux)) in zip(COLORS, coarse.items()):\n", " ax0.plot(times, total_scattering(flux), color=color, lw=2, marker=\"o\", ms=6,\n", " label=f\"{disc.name}, dt = 1\")\n", "ax0.set_xlabel(\"Time\")\n", "ax0.set_ylabel(\"Total scattering rate $\\\\int \\\\sigma_s \\\\phi \\\\, dx$\")\n", "ax0.set_title(\"Total over the slab\", fontsize=10)\n", "ax0.legend(frameon=False)\n", "\n", "for color, (disc, (times, flux)) in zip(COLORS, coarse.items()):\n", " error = total_scattering(flux) / np.interp(times, ref_times, ref_total) - 1\n", " ax1.plot(times, 100 * error, color=color, lw=2, marker=\"o\", ms=6, label=disc.name)\n", "ax1.axhline(0.0, color=\"#52514e\", lw=0.8)\n", "ax1.set_xlabel(\"Time\")\n", "ax1.set_ylabel(\"Error vs reference (%)\")\n", "ax1.set_title(\"Error in the total scattering rate\", fontsize=10)\n", "for ax in (ax0, ax1):\n", " ax.set_xlim(0, 10)\n", " tidy(ax)\n", "plt.show()\n", "\n", "for disc, (times, flux) in coarse.items():\n", " error = total_scattering(flux) / np.interp(times, ref_times, ref_total) - 1\n", " print(f\"{disc.name:8s} largest error in total scattering rate: \"\n", " f\"{100 * np.max(np.abs(error)):.2f}%\")" ] }, { "cell_type": "markdown", "id": "9e01e644", "metadata": {}, "source": [ "The scattering regions have $v \\sigma_t \\Delta t = 1$, so they are not\n", "stiff, and the oscillation in the source region (where $\\sigma_s = 0$) has\n", "little effect on them: CN and TR-BDF2 both stay within 0.4% of the reference.\n", "BDF1's first-order error is the largest, about 9% low at the first step and\n", "still 3% low at $t = 10$. BDF2 takes a BDF1 step to start, because it needs\n", "two previous steps, so it begins with the same error but recovers within a\n", "few steps.\n", "\n", "In practice: TR-BDF2 is the safest default for stiff problems that need\n", "second-order accuracy. CN is accurate when the time step resolves the fastest\n", "time scale in the problem, but oscillates when it does not. BDF1 is the most\n", "robust and the least accurate." ] } ], "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": "3.13.18" } }, "nbformat": 4, "nbformat_minor": 5 }