{ "cells": [ { "cell_type": "markdown", "id": "0783a4a1", "metadata": {}, "source": [ "# Applied Nuclear Data Assimilation using GLLS\n", "\n", "This example demonstrates the use of the **Generalized Least Squares (GLLS)** method to combine experimental benchmark data with prior nuclear data covariance information, producing a posterior set of cross section, nu-bar, and prompt fission spectrum adjustments. It then walks through the full verification path: exporting those adjustments directly onto existing ACE files with `AssimilationSuite.to_ace_direct`, and confirming that the resulting pointwise ACE perturbation matches the multigroup adjustment GLLS predicted.\n", "\n", "Benchmarks:\n", "- HMF001\n", "- HMF002-001\n", "\n", "Application:\n", "- HMF002-002" ] }, { "cell_type": "markdown", "id": "43a81f3c", "metadata": {}, "source": [ "### 1. Setup and posterior calculation\n", "We use `andalus` for the assimilation and ACE perturbation logic, `pandas` to interact with the adjustment data, and `matplotlib` for visualization. It is assumed the reader is familiar with creating a posterior from the other example notebooks. Therefore, a couple of steps are skipped." ] }, { "cell_type": "code", "execution_count": 1, "id": "53094d52", "metadata": { "execution": { "iopub.execute_input": "2026-09-23T13:15:50.568735Z", "iopub.status.busy": "2026-09-23T13:15:50.568735Z", "iopub.status.idle": "2026-09-23T13:15:52.550936Z", "shell.execute_reply": "2026-09-23T13:15:52.549415Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "\n", "import andalus\n", "\n", "plt.style.use(\"ggplot\")" ] }, { "cell_type": "code", "execution_count": 2, "id": "bb11f331", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Reading ../data/hmf001.ser_res.m\n", "WARNING: SERPENT Serpent 2.2.1 found in ../data/hmf001.ser_res.m, but version 2.1.31 is defined in settings\n", "WARNING: Attempting to read anyway. Please report strange behaviors/failures to developers.\n", " - done\n", "Reading ../data/hmf001.ser_sens0.m\n", " - done\n", "Reading ../data/hmf001.ser_det0.m\n", " - done\n", "Reading ../data/hmf002-001.ser_res.m\n", "WARNING: SERPENT Serpent 2.2.1 found in ../data/hmf002-001.ser_res.m, but version 2.1.31 is defined in settings\n", "WARNING: Attempting to read anyway. Please report strange behaviors/failures to developers.\n", " - done\n", "Reading ../data/hmf002-001.ser_sens0.m\n", " - done\n", "Reading ../data/hmf002-002.ser_res.m\n", "WARNING: SERPENT Serpent 2.2.1 found in ../data/hmf002-002.ser_res.m, but version 2.1.31 is defined in settings\n", "WARNING: Attempting to read anyway. Please report strange behaviors/failures to developers.\n", " - done\n", "Reading ../data/hmf002-002.ser_sens0.m\n", " - done\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Performing GLLS update on the assimilation suite...\n", " Number of benchmarks included in GLLS: 2\n", " Prior chi-squared with nuclear data: 0.0095\n", " Prior chi-squared without nuclear data: 1.3981\n", " Posterior chi-squared with nuclear data: 0.0002\n", " Posterior chi-squared without nuclear data: 0.0004\n", "\n" ] } ], "source": [ "assimilation_suite = andalus.AssimilationSuite.from_yaml(\"config.yaml\")\n", "posterior_suite = assimilation_suite.glls()" ] }, { "cell_type": "markdown", "id": "1825ca51", "metadata": {}, "source": [ "### 2. Cross-Section Adjustments by nuclide\n", "The posterior calculated values in the previous plot are produced by an underlying set of multigroup relative adjustments to each isotope's reactions, stored in `posterior_suite.xs_adjustment`. Plotting these directly shows which reactions GLLS moved, by how much, and in which energy range." ] }, { "cell_type": "code", "execution_count": 3, "id": "9e593287", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "ZAI MT E_min_eV E_max_eV \n", "922350 2 1.000000e-05 1.000000e-01 -6.999980e-08\n", " 1.000000e-01 5.400000e-01 -7.257689e-08\n", " 5.400000e-01 4.000000e+00 -8.003348e-08\n", " 4.000000e+00 8.315290e+00 -6.732921e-08\n", " 8.315290e+00 1.370960e+01 -3.360391e-08\n", " ... \n", "922380 35018 1.353350e+06 2.231300e+06 -6.864650e-05\n", " 2.231300e+06 3.678790e+06 7.505350e-05\n", " 3.678790e+06 6.065310e+06 4.516108e-04\n", " 6.065310e+06 1.000000e+07 1.283729e-03\n", " 1.000000e+07 1.964030e+07 3.430290e-03\n", "Length: 396, dtype: float64" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "posterior_suite.xs_adjustment" ] }, { "cell_type": "code", "execution_count": 4, "id": "2be4886d", "metadata": { "execution": { "iopub.execute_input": "2026-09-23T13:16:00.183007Z", "iopub.status.busy": "2026-09-23T13:16:00.183007Z", "iopub.status.idle": "2026-09-23T13:16:01.434430Z", "shell.execute_reply": "2026-09-23T13:16:01.432420Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2, layout=\"constrained\")\n", "\n", "e_low = posterior_suite.xs_adjustment.loc[922350].loc[18].index.get_level_values(\"E_min_eV\")\n", "\n", "for i, zai in enumerate([922350, 922380]):\n", " ax = axs[i]\n", "\n", " for mt in posterior_suite.xs_adjustment.loc[922350].index.get_level_values(\"MT\").unique():\n", " ax.step(e_low, posterior_suite.xs_adjustment.loc[zai].loc[[mt]].values + 1, where=\"post\", label=mt)\n", "\n", " ax.set(\n", " xscale=\"log\",\n", " xlabel=\"Energy (eV)\",\n", " ylabel=\"Cross Section Adjustment\",\n", " xlim=(1e3, 1e7),\n", " title=zai,\n", " )\n", "\n", " ax.legend(title=\"MT\")" ] }, { "cell_type": "markdown", "id": "3a04a548", "metadata": {}, "source": [ "### 5. Exporting the Posterior to ACE\n", "The multigroup adjustments above are a linear approximation of how the nuclear data should change to reproduce the benchmark measurements. To verify that approximation without reprocessing the ENDF evaluation through NJOY, `AssimilationSuite.to_ace_direct` applies the same adjustments directly onto an already-processed ACE file for each isotope, editing the pointwise cross sections, nu-bar, and prompt fission spectrum in place.\n", "\n", "MTs are routed automatically: 452/456 (nu-bar) go to `ACE.perturb_nu`, MT $\\geq$ 35000 (ANDALUS's MF $\\times$ 1000 + MT chi convention, e.g. 35018 for the prompt fission spectrum of MT=18) go to `ACE.perturb_chi`, and every other reaction MT goes to `ACE.perturb`. Source ACE files are located through a Serpent-style xsdata file (`test.xsdata`); `create_xsdata=True` also writes one describing the perturbed output, so the posterior library can be used directly in a follow-up Serpent run." ] }, { "cell_type": "code", "execution_count": 5, "id": "d1e88c51", "metadata": {}, "outputs": [], "source": [ "# Only test the methodology for U-235\n", "posterior_suite.xs_adjustment = posterior_suite.xs_adjustment.loc[[922350]]" ] }, { "cell_type": "code", "execution_count": 6, "id": "4961d31f", "metadata": { "execution": { "iopub.execute_input": "2026-09-23T13:16:01.438430Z", "iopub.status.busy": "2026-09-23T13:16:01.437479Z", "iopub.status.idle": "2026-09-23T13:16:12.150991Z", "shell.execute_reply": "2026-09-23T13:16:12.149475Z" } }, "outputs": [ { "data": { "text/plain": [ "['posterior_ace\\\\92235.03c']" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "posterior_suite.to_ace_direct(out_dir=\"posterior_ace\", xsdata_path=\"../data/test.xsdata\", create_xsdata=True)" ] }, { "cell_type": "code", "execution_count": 7, "id": "aad37800", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 92235.03c 92235.03c 1 92235 0 235.0 300 0 92235.03c\n" ] } ], "source": [ "!cat posterior_ace/adjusted.xsdata" ] }, { "cell_type": "markdown", "id": "cell-verify-intro", "metadata": {}, "source": [ "### 6. Verifying the Cross-Section Adjustment\n", "We read back the prior source ACE file and the perturbed posterior ACE file for the same isotope, and compare the pointwise ratio between them to the multigroup adjustment GLLS originally predicted. If `to_ace_direct` applied the adjustment correctly, the pointwise ACE ratio should step through the same relative change as the GLLS curve at every energy." ] }, { "cell_type": "code", "execution_count": 8, "id": "88317e46", "metadata": {}, "outputs": [], "source": [ "zai = 922350\n", "\n", "u235_prior = andalus.ace.ACE.read(f\"../data/{zai / 10:.0f}.03c\")\n", "u235_post = andalus.ace.ACE.read(f\"posterior_ace/{zai / 10:.0f}.03c\")" ] }, { "cell_type": "code", "execution_count": 9, "id": "2874bd4a", "metadata": { "execution": { "iopub.execute_input": "2026-09-23T13:16:12.878243Z", "iopub.status.busy": "2026-09-23T13:16:12.877244Z", "iopub.status.idle": "2026-09-23T13:16:16.430655Z", "shell.execute_reply": "2026-09-23T13:16:16.429632Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mt = 18\n", "\n", "fig, ax = plt.subplots(layout=\"constrained\")\n", "\n", "prior = u235_prior.reactions[mt]\n", "post = u235_post.reactions[mt]\n", "\n", "ratio = post.xs / prior.xs\n", "\n", "ax.step(\n", " posterior_suite.xs_adjustment.loc[zai].loc[mt].index.get_level_values(\"E_min_eV\"),\n", " posterior_suite.xs_adjustment.loc[zai].loc[mt].values,\n", " marker=\"x\",\n", " where=\"post\",\n", " label=\"GLLS\",\n", ")\n", "ax.plot(prior.energies * 1e6, ratio - 1, label=\"ACE\")\n", "\n", "ax.set(xscale=\"log\", xlabel=\"Energy (eV)\", ylabel=\"Cross Section (barns)\", xlim=(1e3, 20e6), title=f\"MT {mt}\")\n", "\n", "ax.legend()" ] }, { "cell_type": "markdown", "id": "cell-verify-xs-interp", "metadata": {}, "source": [ "The pointwise ACE ratio follows the GLLS step function closely across the full energy range. This confirms that `perturb` correctly redistributed the fission adjustment onto U-238's constituent reactions and that the perturbed ACE file reproduces the same multigroup shift used in the GLLS model, without relying on the linear approximation any further." ] }, { "cell_type": "markdown", "id": "cell-verify-nu", "metadata": {}, "source": [ "### 7. Verifying the Nu-Bar Adjustment\n", "Nu-bar (the average number of neutrons released per fission) is perturbed independently of the cross sections via `ACE.perturb_nu`, using MT=456 for prompt nu-bar. We compare the same way: the pointwise ratio of the perturbed to the prior tabulated nu-bar values against the GLLS adjustment for MT=456." ] }, { "cell_type": "code", "execution_count": 10, "id": "edaf2fe9", "metadata": { "execution": { "iopub.execute_input": "2026-09-23T13:16:16.434055Z", "iopub.status.busy": "2026-09-23T13:16:16.432862Z", "iopub.status.idle": "2026-09-23T13:16:19.938960Z", "shell.execute_reply": "2026-09-23T13:16:19.938960Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mt = 456\n", "\n", "fig, ax = plt.subplots(layout=\"constrained\")\n", "\n", "prior = u235_prior.nu[\"prompt\"]\n", "post = u235_post.nu[\"prompt\"]\n", "\n", "ratio = post.values / prior.values\n", "\n", "ax.step(\n", " posterior_suite.xs_adjustment.loc[zai].loc[mt].index.get_level_values(\"E_min_eV\"),\n", " posterior_suite.xs_adjustment.loc[zai].loc[mt].values,\n", " marker=\"x\",\n", " where=\"post\",\n", " label=\"GLLS\",\n", ")\n", "ax.plot(prior.energy * 1e6, ratio - 1, label=\"ACE\")\n", "\n", "ax.set(\n", " xscale=\"log\",\n", " xlabel=\"Energy (eV)\",\n", " ylabel=\"Cross Section (barns)\",\n", " # yscale=\"log\",\n", " xlim=(1e3, 20e6),\n", " title=\"Prompt neutron multiplicity\",\n", ")\n", "\n", "ax.legend()" ] }, { "cell_type": "markdown", "id": "cell-verify-nu-interp", "metadata": {}, "source": [ "Again, the ACE nu-bar ratio matches the GLLS prediction at every incident energy, confirming that `perturb_nu` applied the adjustment to the correct tabulated nu-bar table." ] }, { "cell_type": "markdown", "id": "cell-verify-chi", "metadata": {}, "source": [ "### 8. Verifying the Prompt Fission Spectrum Adjustment\n", "The prompt fission neutron spectrum $\\chi(E_{out})$ is stored per incident energy in the ACE DLW block and perturbed via `ACE.perturb_chi` under MT=35018. ANDALUS does not yet resolve chi sensitivities by incident energy, so the same outgoing-energy-binned adjustment is applied identically to every incident-energy table; here we inspect one representative table (index 15) and compare its perturbed-to-prior PDF ratio against the GLLS adjustment." ] }, { "cell_type": "code", "execution_count": 11, "id": "478db1fb", "metadata": { "execution": { "iopub.execute_input": "2026-09-23T13:16:19.942489Z", "iopub.status.busy": "2026-09-23T13:16:19.942489Z", "iopub.status.idle": "2026-09-23T13:16:24.976803Z", "shell.execute_reply": "2026-09-23T13:16:24.974789Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mt = 35018\n", "\n", "fig, ax = plt.subplots(layout=\"constrained\")\n", "\n", "prior = u235_prior.chi[18].tables[15]\n", "post = u235_post.chi[18].tables[15]\n", "\n", "ratio = post.pdf / prior.pdf\n", "\n", "ax.step(\n", " posterior_suite.xs_adjustment.loc[zai].loc[mt].index.get_level_values(\"E_min_eV\"),\n", " posterior_suite.xs_adjustment.loc[zai].loc[mt].values,\n", " marker=\"x\",\n", " where=\"post\",\n", " label=\"GLLS\",\n", ")\n", "ax.plot(prior.energy_out * 1e6, ratio - 1, label=\"ACE\")\n", "\n", "ax.set(\n", " xscale=\"log\",\n", " xlabel=\"Energy (eV)\",\n", " ylabel=\"Cross Section (barns)\",\n", " xlim=(1e3, 20e6),\n", " title=\"Prompt neutron energy spectrum\",\n", ")\n", "\n", "ax.legend()" ] }, { "cell_type": "markdown", "id": "cell-verify-chi-interp", "metadata": {}, "source": [ "The pointwise chi ratio again follows the GLLS step function, confirming that `perturb_chi` applied the outgoing-energy adjustment to the prompt fission spectrum correctly. If however, the ACE data does not have an energy point within an energy group, no new energy point is added and the bin is skipped.\n", "\n", "Together, the three verification plots show that `to_ace_direct` reproduces the GLLS posterior at the pointwise ACE level, so the perturbed library can be used directly in a Monte Carlo transport calculation to check the posterior without any further reliance on the linear GLLS approximation." ] } ], "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 }