{ "cells": [ { "cell_type": "markdown", "id": "96585044", "metadata": {}, "source": [ "# Spatial Discretization: Step, Diamond and Step Characteristic\n", "\n", "The discrete ordinates sweep marches across each cell from the incoming edge\n", "to the outgoing edge. A spatial discretization closes that step by relating\n", "the cell-average angular flux to the two edge fluxes:\n", "\n", "$$\n", "\\psi_{i} = \\alpha_\\text{in}\\,\\psi_\\text{in} + \\alpha_\\text{out}\\,\\psi_\\text{out},\n", "\\qquad \\alpha_\\text{in} + \\alpha_\\text{out} = 1 .\n", "$$\n", "\n", "ANTS supports three choices, set with `GeometryData(space_disc=...)`:\n", "\n", "| `SpatialDiscretization` | $\\alpha_\\text{in}$ | $\\alpha_\\text{out}$ |\n", "|---|---|---|\n", "| `STEP` | 0 | 1 |\n", "| `DIAMOND` (default) | 1/2 | 1/2 |\n", "| `STEP_CHARACTERISTIC` | $\\tfrac{1}{2}(1 - c)$ | $\\tfrac{1}{2}(1 + c)$ |\n", "\n", "For step characteristic, $c = \\coth(\\tau/2) - 2/\\tau$ with optical thickness\n", "$\\tau = \\sigma_t \\Delta x / |\\mu|$. It moves from diamond ($c \\to 0$) in\n", "optically thin cells toward step ($c \\to 1$) in thick ones.\n", "\n", "This notebook compares them on two problems: a smooth manufactured solution\n", "that measures order of accuracy, and Reed's problem on a coarse mesh, where\n", "the differences in robustness show up. It also plots the scattering reaction\n", "rate, which is what a user would typically tally from the flux." ] }, { "cell_type": "code", "execution_count": 1, "id": "5b47f10f", "metadata": { "execution": { "iopub.execute_input": "2026-11-06T21:11:55.349549Z", "iopub.status.busy": "2026-11-06T21:11:55.349420Z", "iopub.status.idle": "2026-11-06T21:11:55.932777Z", "shell.execute_reply": "2026-11-06T21:11:55.932145Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import ants\n", "from ants.datatypes import (\n", " GeometryData,\n", " MaterialData,\n", " SolverData,\n", " SourceData,\n", " SpatialDiscretization,\n", ")\n", "from ants.fixed1d import fixed_source\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": "2323da1b", "metadata": {}, "source": [ "## Order of accuracy\n", "\n", "The manufactured solution $\\psi(x, \\mu) = \\tfrac{1}{2} + \\tfrac{1}{4} x^2 e^{\\mu}$\n", "on $x \\in [0, 1]$ with $\\sigma_t = 1$ and $\\sigma_s = 0.9$ is smooth, so the\n", "error should fall at the theoretical rate as the mesh is refined. ANTS\n", "provides the matching external and boundary sources in\n", "`ants.external1d.manufactured_ss_03` and `ants.boundary1d.manufactured_ss_03`." ] }, { "cell_type": "code", "execution_count": 2, "id": "a53e1baa", "metadata": { "execution": { "iopub.execute_input": "2026-11-06T21:11:55.934059Z", "iopub.status.busy": "2026-11-06T21:11:55.933957Z", "iopub.status.idle": "2026-11-06T21:11:56.140358Z", "shell.execute_reply": "2026-11-06T21:11:56.139867Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "STEP observed order: [1. 1. 1. 1. 1.]\n", "DIAMOND observed order: [2. 2. 2. 2. 2.]\n", "STEP_CHARACTERISTIC observed order: [2. 2. 2. 2. 2.]\n" ] } ], "source": [ "quadrature = ants.angular_x(8)\n", "mms_materials = MaterialData(\n", " total=np.array([[1.0]]),\n", " scatter=np.array([[[0.9]]]),\n", " fission=np.array([[[0.0]]]),\n", ")\n", "\n", "\n", "def solve_mms(cells, space_disc):\n", " edges_x = np.linspace(0.0, 1.0, cells + 1)\n", " centers_x = 0.5 * (edges_x[1:] + edges_x[:-1])\n", " sources = SourceData(\n", " external=ants.external1d.manufactured_ss_03(centers_x, quadrature.angle_x),\n", " boundary_x=ants.boundary1d.manufactured_ss_03(quadrature.angle_x),\n", " )\n", " geometry = GeometryData(\n", " medium_map=np.zeros(cells, dtype=np.int32),\n", " delta_x=np.diff(edges_x),\n", " space_disc=space_disc,\n", " )\n", " flux = fixed_source(mms_materials, sources, geometry, quadrature, SolverData())\n", " exact = mms.solution_ss_03(centers_x, quadrature.angle_x) @ quadrature.angle_w\n", " return np.sqrt(np.mean((flux[:, 0] - exact) ** 2))\n", "\n", "\n", "mesh = np.array([10, 20, 40, 80, 160, 320])\n", "errors = {\n", " disc: np.array([solve_mms(cells, disc) for cells in mesh])\n", " for disc in SpatialDiscretization\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 / mesh, error, color=color, lw=2, marker=\"o\", ms=6, label=disc.name)\n", "ax.set_xlabel(\"Cell width $\\\\Delta x$ (cm)\")\n", "ax.set_ylabel(\"RMS scalar flux error\")\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:20s} observed order: {np.round(order, 2)}\")" ] }, { "cell_type": "markdown", "id": "76553592", "metadata": {}, "source": [ "Step is first order, while diamond and step characteristic are both second\n", "order. Diamond has the smallest error constant on this smooth problem.\n", "\n", "## Reed's problem on a coarse mesh\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 reference solution uses diamond difference on a 3200-cell mesh. The\n", "coarse runs use 64 cells (0.25 cm), which puts the source region at an\n", "optical thickness of 12.5 per cell along the slab." ] }, { "cell_type": "code", "execution_count": 3, "id": "5bc52fe9", "metadata": { "execution": { "iopub.execute_input": "2026-11-06T21:11:56.141435Z", "iopub.status.busy": "2026-11-06T21:11:56.141344Z", "iopub.status.idle": "2026-11-06T21:11:56.222489Z", "shell.execute_reply": "2026-11-06T21:11:56.222064Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "STEP minimum flux 0.0941 at x = 5.625 cm, maximum error 0.192\n", "DIAMOND minimum flux -0.0302 at x = 10.625 cm, maximum error 0.238\n", "STEP_CHARACTERISTIC minimum flux 0.0421 at x = 10.375 cm, maximum error 0.130\n" ] } ], "source": [ "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", "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", "quadrature = ants.angular_x(8)\n", "\n", "\n", "def solve_reed(cells, space_disc):\n", " edges_x = np.linspace(0.0, 16.0, cells + 1)\n", " medium_map = ants.spatial1d(layers, edges_x)\n", " sources = SourceData(\n", " external=ants.external1d.reeds(edges_x, [0, 0]),\n", " boundary_x=np.zeros((2, 1, 1)),\n", " )\n", " geometry = GeometryData(\n", " medium_map=medium_map,\n", " delta_x=np.diff(edges_x),\n", " bc_x=[0, 0],\n", " geometry=1,\n", " space_disc=space_disc,\n", " )\n", " flux = fixed_source(reed_materials, sources, geometry, quadrature, SolverData())\n", " centers_x = 0.5 * (edges_x[1:] + edges_x[:-1])\n", " return centers_x, medium_map, flux\n", "\n", "\n", "coarse = 64\n", "x_ref, map_ref, flux_ref = solve_reed(3200, SpatialDiscretization.DIAMOND)\n", "coarse_runs = {disc: solve_reed(coarse, disc) for disc in SpatialDiscretization}\n", "\n", "fig, ax = plt.subplots(figsize=(9, 4.5))\n", "ax.plot(x_ref, flux_ref[:, 0], label=\"Reference (diamond, 3200 cells)\", **REFERENCE)\n", "for color, (disc, (x, _, flux)) in zip(COLORS, coarse_runs.items()):\n", " ax.plot(x, flux[:, 0], color=color, lw=2, marker=\"o\", ms=4,\n", " label=f\"{disc.name}, {coarse} cells\")\n", "ax.axhline(0.0, color=\"#52514e\", lw=0.8)\n", "ax.set_xlabel(\"x (cm)\")\n", "ax.set_ylabel(\"Scalar flux\")\n", "ax.set_xlim(0, 16)\n", "ax.legend(frameon=False, loc=\"upper center\", bbox_to_anchor=(0.5, -0.14), ncol=2)\n", "tidy(ax)\n", "plt.show()\n", "\n", "for disc, (x, _, flux) in coarse_runs.items():\n", " low = np.argmin(flux[:, 0])\n", " error = np.abs(flux[:, 0] - np.interp(x, x_ref, flux_ref[:, 0])).max()\n", " print(f\"{disc.name:20s} minimum flux {flux[low, 0]: .4f} at x = {x[low]:.3f} cm, \"\n", " f\"maximum error {error:.3f}\")" ] }, { "cell_type": "markdown", "id": "fb57c357", "metadata": {}, "source": [ "All three coarse solutions follow the reference, but they fail in\n", "different ways. Diamond difference goes negative in the absorbers (the minimum\n", "is printed above) and overshoots at the edges of the source region. Negative\n", "flux is unphysical, and any reaction rate computed from it is negative too.\n", "Step difference stays positive everywhere, but it is more diffusive: it\n", "flattens the peaks in the scattering regions and smears the sharp changes at\n", "material interfaces.\n", "\n", "Step characteristic is close to step in the optically thick absorber and\n", "source cells, and close to diamond in the scatterers and voids. Here it stays\n", "positive, does not overshoot, and has the smallest maximum error of the three.\n", "It is not guaranteed to be positive on every problem." ] }, { "cell_type": "markdown", "id": "0ec8f7d5", "metadata": {}, "source": [ "## Scattering reaction rate\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": "c0d17274", "metadata": { "execution": { "iopub.execute_input": "2026-11-06T21:11:56.223710Z", "iopub.status.busy": "2026-11-06T21:11:56.223634Z", "iopub.status.idle": "2026-11-06T21:11:56.290598Z", "shell.execute_reply": "2026-11-06T21:11:56.290236Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "STEP total scattering rate 15.8957 (-2.61% vs reference 16.3223)\n", "DIAMOND total scattering rate 16.3218 (-0.00% vs reference 16.3223)\n", "STEP_CHARACTERISTIC total scattering rate 16.2441 (-0.48% vs reference 16.3223)\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", "rate_ref = scattering_rate(flux_ref, reed_materials.scatter, map_ref)\n", "\n", "fig, ax = plt.subplots(figsize=(8, 4.2))\n", "ax.plot(x_ref, rate_ref, label=\"Reference (diamond, 3200 cells)\", **REFERENCE)\n", "for color, (disc, (x, medium_map, flux)) in zip(COLORS, coarse_runs.items()):\n", " rate = scattering_rate(flux, reed_materials.scatter, medium_map)\n", " ax.plot(x, rate, color=color, lw=2, marker=\"o\", ms=4,\n", " label=f\"{disc.name}, {coarse} cells\")\n", "ax.set_xlim(0, 5)\n", "ax.set_xlabel(\"x (cm)\")\n", "ax.set_ylabel(\"Scattering rate density $\\\\sigma_s \\\\phi$\")\n", "ax.set_title(\"Left scattering region (the right side is symmetric)\", fontsize=10)\n", "ax.legend(frameon=False)\n", "tidy(ax)\n", "plt.show()\n", "\n", "dx_ref = 16.0 / len(x_ref)\n", "total_ref = rate_ref.sum() * dx_ref\n", "for disc, (x, medium_map, flux) in coarse_runs.items():\n", " total = scattering_rate(flux, reed_materials.scatter, medium_map).sum() * (16.0 / coarse)\n", " print(f\"{disc.name:20s} total scattering rate {total:.4f} \"\n", " f\"({100 * (total / total_ref - 1):+.2f}% vs reference {total_ref:.4f})\")" ] }, { "cell_type": "markdown", "id": "4cd05285", "metadata": {}, "source": [ "The scattering rate follows the flux, since $\\sigma_s$ is constant in\n", "the scatterers and zero everywhere else. Step difference underpredicts the\n", "peak and the total scattering rate. Diamond difference matches the reference\n", "total almost exactly, and step characteristic is close behind.\n", "\n", "On this mesh diamond difference gives the best total reaction rate, step\n", "difference never goes negative but loses accuracy, and step characteristic is\n", "second order like diamond while avoiding its oscillations in thick cells." ] } ], "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 }