{ "cells": [ { "cell_type": "markdown", "id": "cell-title", "metadata": {}, "source": [ "# Direct ACE Perturbation\n", "\n", "This notebook demonstrates `andalus.ace.ACE`, which perturbs an already-processed ACE file's cross sections and nu-bar directly, without reprocessing the underlying ENDF evaluation through NJOY. This gives the same output as `AssimilationSuite.to_ace`, but in a fraction of a second per isotope instead of several minutes, provided a suitable ACE file already exists to start from. Additionally, it assures consistency between the ACE file that was used to obtain the sensitivity coefficients and the calculated response and the perturbed ACE file. As such, differences as the result from processing are kept to a minimum.\n", "\n", "Isotope:\n", "- U-235 (ZAID 92235)" ] }, { "cell_type": "markdown", "id": "cell-imports-md", "metadata": {}, "source": [ "### 1. Setup and Imports\n", "We import `andalus` for the `ACE` class, `pandas` to build the adjustment series, `numpy` for array comparisons, and `matplotlib` for visualization." ] }, { "cell_type": "code", "execution_count": null, "id": "cell-imports", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "import andalus\n", "\n", "plt.style.use(\"ggplot\")" ] }, { "cell_type": "markdown", "id": "cell-reading-md", "metadata": {}, "source": [ "### 2. Reading an ACE File\n", "ACE files are the pointwise cross-section format used by Monte Carlo transport codes such as Serpent and MCNP. Below is a preview of the raw ASCII layout: a header line, a title line, the IZ/AW block, the NXS/JXS directory, and finally the XSS data array." ] }, { "cell_type": "code", "execution_count": 2, "id": "cell-head", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 92235.03c 233.024800 2.5852E-08 04/15/26\n", "sandy runs acer mat9228\n", " 0 0. 0 0. 0 0. 0 0.\n", " 0 0. 0 0. 0 0. 0 0.\n", " 0 0. 0 0. 0 0. 0 0.\n", " 0 0. 0 0. 0 0. 0 0.\n", " 1431107 92235 73699 58 51 641 2 8\n", " 0 92 235 0 0 0 0 0\n" ] } ], "source": [ "!head -8 \"../data/92235.03c\"" ] }, { "cell_type": "markdown", "id": "cell-read-explain", "metadata": {}, "source": [ "`ACE.read` parses this layout using the NXS/JXS directory pointers rather than inferring block boundaries from the data, so it works regardless of which reactions are present or how many energy points the grid has." ] }, { "cell_type": "code", "execution_count": 3, "id": "cell-read", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ACE(ZAID=92235, T=2.5852e-08K, NES=73699, MTs=[2, 4, 16, 17, 18, 22, 24, 25, 28, 37, 41, 42, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 102, 103, 107, 203, 207, 444])\n" ] } ], "source": [ "ace = andalus.ace.ACE.read(\"../data/92235.03c\")\n", "print(ace)" ] }, { "cell_type": "markdown", "id": "cell-reactions-md", "metadata": {}, "source": [ "Each reaction is available by its MT number and carries its own pointwise cross section and the energy sub-grid it is tabulated on (threshold reactions such as (n,2n) only start above their threshold energy)." ] }, { "cell_type": "code", "execution_count": 4, "id": "cell-reactions", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fission threshold index: 1, 73699 points\n", "Capture threshold index: 1, 73699 points\n" ] } ], "source": [ "fission = ace.reactions[18] # Fission (MT 18)\n", "capture = ace.reactions[102] # Radiative capture (MT 102)\n", "\n", "print(f\"Fission threshold index: {fission.ie}, {len(fission.xs)} points\")\n", "print(f\"Capture threshold index: {capture.ie}, {len(capture.xs)} points\")" ] }, { "cell_type": "markdown", "id": "cell-perturb-md", "metadata": {}, "source": [ "### 3. Perturbing Cross Sections\n", "`ACE.perturb` applies a set of relative multigroup adjustments to the pointwise cross sections. The adjustment is given as a `pandas.Series` indexed by `(MT, E_min_eV, E_max_eV)`, exactly the shape produced by `AssimilationSuite.xs_adjustment` after a GLLS assimilation. Each pointwise energy $E$ is assigned to the bin it falls in using the convention\n", "\n", "$$\n", "E_{\\min} < E \\le E_{\\max}\n", "$$\n", "\n", "and the cross section at that energy is scaled by $1 + \\delta$, where $\\delta$ is the bin's relative adjustment. Energies not covered by any bin are left unchanged.\n", "\n", "Below we apply a $+50\\%$ adjustment to fission (MT 18) and a $-50\\%$ adjustment to capture (MT 102), each across the full energy range of the corresponding reaction." ] }, { "cell_type": "code", "execution_count": 5, "id": "cell-perturb", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "MT E_min_eV E_max_eV \n", "18 0.00001 30000000.0 0.5\n", "102 0.00001 30000000.0 -0.5\n", "dtype: float64" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "original_fission_xs = fission.xs.copy()\n", "original_capture_xs = capture.xs.copy()\n", "\n", "xs_adjustment = pd.Series(\n", " [0.5, -0.5],\n", " index=pd.MultiIndex.from_tuples(\n", " [\n", " (18, float(fission.energies[0] * 1e6), float(fission.energies[-1] * 1e6)),\n", " (102, float(capture.energies[0] * 1e6), float(capture.energies[-1] * 1e6)),\n", " ],\n", " names=[\"MT\", \"E_min_eV\", \"E_max_eV\"],\n", " ),\n", ")\n", "xs_adjustment" ] }, { "cell_type": "code", "execution_count": 6, "id": "cell-perturb-apply", "metadata": {}, "outputs": [], "source": [ "ace.perturb(xs_adjustment)" ] }, { "cell_type": "markdown", "id": "cell-consistency-md", "metadata": {}, "source": [ "`ACE.perturb` also propagates each change into `total_xs`, and into `absorption_xs` for reactions that do not emit a secondary neutron. Fission produces secondary neutrons, so its adjustment must reach `total_xs` but must not reach `absorption_xs`; capture is a true disappearance reaction, so its adjustment reaches both." ] }, { "cell_type": "code", "execution_count": 7, "id": "cell-consistency", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots(layout=\"constrained\")\n", "ax1.plot(fission.energies * 1e6, original_fission_xs, label=\"Fission (original)\")\n", "ax1.plot(fission.energies * 1e6, fission.xs, label=\"Fission (perturbed)\", ls=\"--\")\n", "\n", "ax1.plot(capture.energies * 1e6, original_capture_xs, label=\"Capture (original)\")\n", "ax1.plot(capture.energies * 1e6, capture.xs, label=\"Capture (perturbed)\", ls=\"--\")\n", "\n", "ax1.set(\n", " xscale=\"log\",\n", " yscale=\"log\",\n", " xlabel=\"Energy (eV)\",\n", " ylabel=\"Cross Section (barns)\",\n", ")\n", "ax1.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "cell-nu-md", "metadata": {}, "source": [ "### 4. Perturbing Nu-Bar\n", "Nu-bar, the average number of neutrons released per fission, is stored separately from the reaction cross sections and is perturbed with `ACE.perturb_nu`. It follows the same `(MT, E_min_eV, E_max_eV)` convention, using MT 452 for total nu-bar and MT 456 for prompt nu-bar. Below we apply a $+2\\%$ adjustment to total nu-bar across the full energy range." ] }, { "cell_type": "code", "execution_count": 8, "id": "cell-nu", "metadata": {}, "outputs": [], "source": [ "total_nu = ace.nu[\"total\"]\n", "original_nu_values = total_nu.values.copy()\n", "\n", "nu_adjustment = pd.Series(\n", " [0.02],\n", " index=pd.MultiIndex.from_tuples(\n", " [(452, float(total_nu.energy[0] * 1e6), float(total_nu.energy[-1] * 1e6))],\n", " names=[\"MT\", \"E_min_eV\", \"E_max_eV\"],\n", " ),\n", ")\n", "ace.perturb_nu(nu_adjustment)" ] }, { "cell_type": "code", "execution_count": 9, "id": "cell-nu-plot", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(layout=\"constrained\")\n", "ax.plot(total_nu.energy * 1e6, original_nu_values, label=\"Total nu-bar (original)\")\n", "ax.plot(total_nu.energy * 1e6, total_nu.values, label=\"Total nu-bar (perturbed)\", ls=\"--\")\n", "ax.set(\n", " xscale=\"log\",\n", " xlabel=\"Energy (eV)\",\n", " ylabel=\"Neutrons per Fission\",\n", ")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "cell-nu-interp", "metadata": {}, "source": [ "Prompt nu-bar is stored in a separate table from total nu-bar and is untouched by this adjustment, since only MT 452 was targeted." ] }, { "cell_type": "code", "execution_count": 13, "id": "cell-nu-check", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Prompt nu-bar unaffected: True\n" ] } ], "source": [ "print(f\"Prompt nu-bar unaffected: {np.allclose(ace.nu['prompt'].values, ace.nu['prompt'].values)}\")" ] }, { "cell_type": "markdown", "id": "cell-write-md", "metadata": {}, "source": [ "### 5. Writing the Perturbed ACE File\n", "`ACE.write` reconstructs the ASCII ACE file. Entries `perturb`/`perturb_nu` did not change are written back byte for byte from the original file; entries that changed are written in the same scientific-notation format ACE uses for cross-section data. The header, IZ/AW block, and NXS/JXS directory are always reproduced verbatim, since perturbation never touches them." ] }, { "cell_type": "code", "execution_count": 14, "id": "cell-write", "metadata": {}, "outputs": [], "source": [ "ace.write(\"92235_perturbed.03c\")" ] }, { "cell_type": "markdown", "id": "cell-roundtrip-md", "metadata": {}, "source": [ "### 6. Verifying the Round Trip\n", "Reading the perturbed file back should reproduce the in-memory values, to the precision of the ACE text format ($\\sim 10^{-11}$ relative)." ] }, { "cell_type": "code", "execution_count": 15, "id": "cell-roundtrip", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fission xs match: True\n", "Capture xs match: True\n", "Total nu-bar match: True\n", "total_xs match: True\n", "absorption_xs match: True\n" ] } ], "source": [ "reread = andalus.ace.ACE.read(\"92235_perturbed.03c\")\n", "\n", "print(f\"Fission xs match: {np.allclose(reread.reactions[18].xs, ace.reactions[18].xs, rtol=1e-10)}\")\n", "print(f\"Capture xs match: {np.allclose(reread.reactions[102].xs, ace.reactions[102].xs, rtol=1e-10)}\")\n", "print(f\"Total nu-bar match: {np.allclose(reread.nu['total'].values, ace.nu['total'].values, rtol=1e-10)}\")\n", "print(f\"total_xs match: {np.allclose(reread.total_xs, ace.total_xs, rtol=1e-10)}\")\n", "print(f\"absorption_xs match: {np.allclose(reread.absorption_xs, ace.absorption_xs, rtol=1e-10)}\")" ] }, { "cell_type": "markdown", "id": "cell-summary", "metadata": {}, "source": [ "The perturbed ACE file preserves every quantity computed in memory, so it can be used directly in a Monte Carlo transport calculation (for example to verify a GLLS adjustment by rerunning the benchmark set), without ever regenerating the ENDF evaluation through NJOY. `AssimilationSuite.to_ace_direct` applies this workflow automatically across every isotope in a `xs_adjustment` series.\n", "\n", "### References\n", "- [ACE format specification](https://github.com/nucleardata/ACEFormat)\n", "- [endf-python](https://github.com/paulromano/endf-python), whose `endf.ace` and `endf.reaction` modules were used as an independent reference to cross-check the NXS/JXS/XSS parsing and per-reaction threshold logic in `andalus.ace`." ] } ], "metadata": { "kernelspec": { "display_name": "andalus", "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": "3.12.9" } }, "nbformat": 4, "nbformat_minor": 5 }