{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to apply a custom perturbation to a given cross section" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-07-05T15:15:59.702626Z", "iopub.status.busy": "2023-07-05T15:15:59.702382Z", "iopub.status.idle": "2023-07-05T15:15:59.959059Z", "shell.execute_reply": "2023-07-05T15:15:59.957707Z" } }, "outputs": [], "source": [ "import os\n", "\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-07-05T15:15:59.963256Z", "iopub.status.busy": "2023-07-05T15:15:59.962668Z", "iopub.status.idle": "2023-07-05T15:16:01.488015Z", "shell.execute_reply": "2023-07-05T15:16:01.486609Z" } }, "outputs": [], "source": [ "import sandy" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2023-07-05T15:16:01.493157Z", "iopub.status.busy": "2023-07-05T15:16:01.492407Z", "iopub.status.idle": "2023-07-05T15:16:01.496703Z", "shell.execute_reply": "2023-07-05T15:16:01.495969Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "sns.set_style(\"whitegrid\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook we apply a constant relative perturbation, say 5%, to an energy-dependent cross section.\n", "The perturbation is applied over an energy bin of choice, e.g. between 10 eV and 100 eV." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an example we use the JEFF-3.3 evaluation for Pu-239 downloaded from the [OECD/NEA website](https://www.oecd-nea.org/dbdata/jeff/jeff33/index.html) and processed with NJOY-2016 into PENDF format using the following input file:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2023-07-05T15:16:01.500256Z", "iopub.status.busy": "2023-07-05T15:16:01.499806Z", "iopub.status.idle": "2023-07-05T15:17:32.794298Z", "shell.execute_reply": "2023-07-05T15:17:32.793429Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "moder\n", "20 -21 /\n", "reconr\n", "-21 -22 /\n", "'sandy runs njoy'/\n", "9437 0 0 /\n", "0.001 0. /\n", "0/\n", "broadr\n", "-21 -22 -23 /\n", "9437 1 0 0 0. /\n", "0.001 /\n", "900.0 /\n", "0 /\n", "thermr\n", "0 -23 -24 /\n", "0 9437 20 1 1 0 0 1 221 0 /\n", "900.0 /\n", "0.001 10 /\n", "moder\n", "-24 30 /\n", "stop\n", "\n", " njoy 2016.70 04Apr23 07/05/23 15:16:06\n", " *****************************************************************************\n", "\n", " moder... 0.0s\n", "\n", " reconr... 0.1s\n", "\n", " ---message from rdf2bw---calculation of angular distribution not installed.\n", "\n", " broadr... 52.3s\n", "\n", " thermr... 75.3s\n", "\n", " wrote thermal data for temp = 9.0000E+02 79.7s\n", "\n", " moder... 79.7s\n", " 83.8s\n", " *****************************************************************************\n" ] } ], "source": [ "tape = sandy.get_endf6_file(\"jeff_33\", \"xs\", 942390).get_pendf(\n", " temperature=900,\n", " purr=False,\n", " heatr=False,\n", " gaspr=False,\n", " verbose=True,\n", ")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2023-07-05T15:17:32.798600Z", "iopub.status.busy": "2023-07-05T15:17:32.797936Z", "iopub.status.idle": "2023-07-05T15:17:37.469330Z", "shell.execute_reply": "2023-07-05T15:17:37.468004Z" } }, "outputs": [], "source": [ "xs = sandy.Xs.from_endf6(tape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we apply perturbations according to the WIMS-69 energy grid, available on the [Serpent Wiki](http://serpent.vtt.fi/mediawiki/index.php/EPRI-CPM_69_group_structure).\n", "Still, any other energy grids would work just fine." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2023-07-05T15:17:37.474062Z", "iopub.status.busy": "2023-07-05T15:17:37.473535Z", "iopub.status.idle": "2023-07-05T15:17:37.481673Z", "shell.execute_reply": "2023-07-05T15:17:37.481071Z" } }, "outputs": [ { "data": { "text/plain": [ "array([1.0000e-05, 5.0000e-03, 1.0000e-02, 1.5000e-02, 2.0000e-02,\n", " 2.5000e-02, 3.0000e-02, 3.5000e-02, 4.2000e-02, 5.0000e-02,\n", " 5.8000e-02, 6.7000e-02, 8.0000e-02, 1.0000e-01, 1.4000e-01,\n", " 1.8000e-01, 2.2000e-01, 2.5000e-01, 2.8000e-01, 3.0000e-01,\n", " 3.2000e-01, 3.5000e-01, 4.0000e-01, 5.0000e-01, 6.2500e-01,\n", " 7.8000e-01, 8.5000e-01, 9.1000e-01, 9.5000e-01, 9.7200e-01,\n", " 9.9600e-01, 1.0200e+00, 1.0450e+00, 1.0710e+00, 1.0970e+00,\n", " 1.1230e+00, 1.1500e+00, 1.3000e+00, 1.5000e+00, 2.1000e+00,\n", " 2.6000e+00, 3.3000e+00, 4.0000e+00, 9.8770e+00, 1.5968e+01,\n", " 2.7700e+01, 4.8052e+01, 7.5501e+01, 1.4873e+02, 3.6726e+02,\n", " 9.0690e+02, 1.4251e+03, 2.2395e+03, 3.5191e+03, 5.5300e+03,\n", " 9.1180e+03, 1.5030e+04, 2.4780e+04, 4.0850e+04, 6.7340e+04,\n", " 1.1100e+05, 1.8300e+05, 3.0250e+05, 5.0000e+05, 8.2100e+05,\n", " 1.3530e+06, 2.2310e+06, 3.6790e+06, 6.0655e+06, 1.0000e+07])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "egrid = sandy.energy_grids.WIMS69\n", "egrid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The energy grid was converted in eV to be consistent with the cross section data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Use a `sandy.Pert` object" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "SANDY uses a dedicated class to store (relative) perturbation coefficients." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2023-07-05T15:17:37.484995Z", "iopub.status.busy": "2023-07-05T15:17:37.484412Z", "iopub.status.idle": "2023-07-05T15:17:37.492312Z", "shell.execute_reply": "2023-07-05T15:17:37.491665Z" } }, "outputs": [ { "data": { "text/plain": [ "ENERGY\n", "(0.0, 10.0] 1.00000e+00\n", "(10.0, 100.0] 1.05000e+00\n", "dtype: float64" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sandy.Pert([1, 1.05], index=[10, 100])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this example the `Pert` instance defines a multiplicative perturbation factor 1 (0%) for all xs values between 0 and 10 eV, and 1.05 (5%) for all xs between 10 and 100 eV." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Apply perturbations to cross sections" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below we apply perturbations to the fission cross section (MT=18) of Pu-239 (MAT=9437).\n", "For each energy bin in the WIMS grid, we increase all xs points in that energy range by 30%.\n", "The process is repreated iteratively and 69 perturbed xs objects are created." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2023-07-05T15:17:37.496082Z", "iopub.status.busy": "2023-07-05T15:17:37.495543Z", "iopub.status.idle": "2023-07-05T15:17:37.500430Z", "shell.execute_reply": "2023-07-05T15:17:37.499365Z" } }, "outputs": [], "source": [ "mat = 9437\n", "mt = 18\n", "pert_coeff = 30 / 100 # large perturbationfor better visualization" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2023-07-05T15:17:37.503696Z", "iopub.status.busy": "2023-07-05T15:17:37.503171Z", "iopub.status.idle": "2023-07-05T15:17:46.376957Z", "shell.execute_reply": "2023-07-05T15:17:46.375975Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "perturbed xs in energy bin #1 [1.00000e-05, 5.00000e-03]\n", "perturbed xs in energy bin #2 [5.00000e-03, 1.00000e-02]\n", "perturbed xs in energy bin #3 [1.00000e-02, 1.50000e-02]\n", "perturbed xs in energy bin #4 [1.50000e-02, 2.00000e-02]\n", "perturbed xs in energy bin #5 [2.00000e-02, 2.50000e-02]\n", "perturbed xs in energy bin #6 [2.50000e-02, 3.00000e-02]\n", "perturbed xs in energy bin #7 [3.00000e-02, 3.50000e-02]\n", "perturbed xs in energy bin #8 [3.50000e-02, 4.20000e-02]\n", "perturbed xs in energy bin #9 [4.20000e-02, 5.00000e-02]\n", "perturbed xs in energy bin #10 [5.00000e-02, 5.80000e-02]\n", "perturbed xs in energy bin #11 [5.80000e-02, 6.70000e-02]\n", "perturbed xs in energy bin #12 [6.70000e-02, 8.00000e-02]\n", "perturbed xs in energy bin #13 [8.00000e-02, 1.00000e-01]\n", "perturbed xs in energy bin #14 [1.00000e-01, 1.40000e-01]\n", "perturbed xs in energy bin #15 [1.40000e-01, 1.80000e-01]\n", "perturbed xs in energy bin #16 [1.80000e-01, 2.20000e-01]\n", "perturbed xs in energy bin #17 [2.20000e-01, 2.50000e-01]\n", "perturbed xs in energy bin #18 [2.50000e-01, 2.80000e-01]\n", "perturbed xs in energy bin #19 [2.80000e-01, 3.00000e-01]\n", "perturbed xs in energy bin #20 [3.00000e-01, 3.20000e-01]\n", "perturbed xs in energy bin #21 [3.20000e-01, 3.50000e-01]\n", "perturbed xs in energy bin #22 [3.50000e-01, 4.00000e-01]\n", "perturbed xs in energy bin #23 [4.00000e-01, 5.00000e-01]\n", "perturbed xs in energy bin #24 [5.00000e-01, 6.25000e-01]\n", "perturbed xs in energy bin #25 [6.25000e-01, 7.80000e-01]\n", "perturbed xs in energy bin #26 [7.80000e-01, 8.50000e-01]\n", "perturbed xs in energy bin #27 [8.50000e-01, 9.10000e-01]\n", "perturbed xs in energy bin #28 [9.10000e-01, 9.50000e-01]\n", "perturbed xs in energy bin #29 [9.50000e-01, 9.72000e-01]\n", "perturbed xs in energy bin #30 [9.72000e-01, 9.96000e-01]\n", "perturbed xs in energy bin #31 [9.96000e-01, 1.02000e+00]\n", "perturbed xs in energy bin #32 [1.02000e+00, 1.04500e+00]\n", "perturbed xs in energy bin #33 [1.04500e+00, 1.07100e+00]\n", "perturbed xs in energy bin #34 [1.07100e+00, 1.09700e+00]\n", "perturbed xs in energy bin #35 [1.09700e+00, 1.12300e+00]\n", "perturbed xs in energy bin #36 [1.12300e+00, 1.15000e+00]\n", "perturbed xs in energy bin #37 [1.15000e+00, 1.30000e+00]\n", "perturbed xs in energy bin #38 [1.30000e+00, 1.50000e+00]\n", "perturbed xs in energy bin #39 [1.50000e+00, 2.10000e+00]\n", "perturbed xs in energy bin #40 [2.10000e+00, 2.60000e+00]\n", "perturbed xs in energy bin #41 [2.60000e+00, 3.30000e+00]\n", "perturbed xs in energy bin #42 [3.30000e+00, 4.00000e+00]\n", "perturbed xs in energy bin #43 [4.00000e+00, 9.87700e+00]\n", "perturbed xs in energy bin #44 [9.87700e+00, 1.59680e+01]\n", "perturbed xs in energy bin #45 [1.59680e+01, 2.77000e+01]\n", "perturbed xs in energy bin #46 [2.77000e+01, 4.80520e+01]\n", "perturbed xs in energy bin #47 [4.80520e+01, 7.55010e+01]\n", "perturbed xs in energy bin #48 [7.55010e+01, 1.48730e+02]\n", "perturbed xs in energy bin #49 [1.48730e+02, 3.67260e+02]\n", "perturbed xs in energy bin #50 [3.67260e+02, 9.06900e+02]\n", "perturbed xs in energy bin #51 [9.06900e+02, 1.42510e+03]\n", "perturbed xs in energy bin #52 [1.42510e+03, 2.23950e+03]\n", "perturbed xs in energy bin #53 [2.23950e+03, 3.51910e+03]\n", "perturbed xs in energy bin #54 [3.51910e+03, 5.53000e+03]\n", "perturbed xs in energy bin #55 [5.53000e+03, 9.11800e+03]\n", "perturbed xs in energy bin #56 [9.11800e+03, 1.50300e+04]\n", "perturbed xs in energy bin #57 [1.50300e+04, 2.47800e+04]\n", "perturbed xs in energy bin #58 [2.47800e+04, 4.08500e+04]\n", "perturbed xs in energy bin #59 [4.08500e+04, 6.73400e+04]\n", "perturbed xs in energy bin #60 [6.73400e+04, 1.11000e+05]\n", "perturbed xs in energy bin #61 [1.11000e+05, 1.83000e+05]\n", "perturbed xs in energy bin #62 [1.83000e+05, 3.02500e+05]\n", "perturbed xs in energy bin #63 [3.02500e+05, 5.00000e+05]\n", "perturbed xs in energy bin #64 [5.00000e+05, 8.21000e+05]\n", "perturbed xs in energy bin #65 [8.21000e+05, 1.35300e+06]\n", "perturbed xs in energy bin #66 [1.35300e+06, 2.23100e+06]\n", "perturbed xs in energy bin #67 [2.23100e+06, 3.67900e+06]\n", "perturbed xs in energy bin #68 [3.67900e+06, 6.06550e+06]\n", "perturbed xs in energy bin #69 [6.06550e+06, 1.00000e+07]\n" ] } ], "source": [ "perturbed_xs = []\n", "for i in range(1, egrid.size):\n", " e_start = egrid[i-1]\n", " e_stop = egrid[i]\n", " index = egrid[i-1: i+1]\n", " pert = sandy.Pert([1, 1 + pert_coeff], index=index)\n", " print(f\"perturbed xs in energy bin #{i} [{e_start:.5e}, {e_stop:.5e}]\")\n", " xspert = xs.custom_perturbation(mat, mt, pert)\n", " perturbed_xs.append(xspert)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Entire energy range" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2023-07-05T15:17:46.380918Z", "iopub.status.busy": "2023-07-05T15:17:46.380410Z", "iopub.status.idle": "2023-07-05T15:17:49.661157Z", "shell.execute_reply": "2023-07-05T15:17:49.660310Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(7, 3.5), dpi=100)\n", "ax = xs.data[(mat,mt)].plot(logx=True, logy=True, color=\"dodgerblue\", linewidth=2, ax=ax)\n", "for xspert in perturbed_xs:\n", " ax = xspert.data[(mat,mt)].plot(logx=True, logy=True, alpha=0.8, linewidth=0.9, ax=ax)\n", "\n", "ax.set_ylabel(\"cross section / b\")\n", "ax.set_xlabel(\"energy / eV\")\n", "ax.set_xlim([1e-5, 2e7])\n", "ax.set_ylim([1e-1, 1e4])\n", "fig.tight_layout();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thermal part" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2023-07-05T15:17:49.664902Z", "iopub.status.busy": "2023-07-05T15:17:49.664494Z", "iopub.status.idle": "2023-07-05T15:17:52.523589Z", "shell.execute_reply": "2023-07-05T15:17:52.522435Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(7, 3.5), dpi=100)\n", "ax = xs.data[(mat,mt)].plot(logx=True, logy=True, color=\"dodgerblue\", linewidth=2, ax=ax)\n", "for xspert in perturbed_xs:\n", " ax = xspert.data[(mat,mt)].plot(logx=True, logy=True, alpha=0.8, linewidth=0.9, ax=ax)\n", "\n", "ax.set_ylabel(\"cross section / b\")\n", "ax.set_xlabel(\"energy / eV\")\n", "ax.set_xlim([1e-4, 1])\n", "ax.set_ylim([1e1, 1e4])\n", "fig.tight_layout();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fast part" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2023-07-05T15:17:52.527749Z", "iopub.status.busy": "2023-07-05T15:17:52.527116Z", "iopub.status.idle": "2023-07-05T15:17:55.545099Z", "shell.execute_reply": "2023-07-05T15:17:55.544233Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(7, 3.5), dpi=100)\n", "ax = xs.data[(mat,mt)].plot(logx=True, logy=False, color=\"dodgerblue\", linewidth=2, ax=ax)\n", "for xspert in perturbed_xs:\n", " ax = xspert.data[(mat,mt)].plot(logx=True, logy=False, alpha=0.8, linewidth=0.9, ax=ax)\n", "\n", "ax.set_ylabel(\"cross section / b\")\n", "ax.set_xlabel(\"energy / eV\")\n", "ax.set_xlim([1e3, 1e6])\n", "ax.set_ylim([1e0, 1e1])\n", "fig.tight_layout();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Write perturbed xs to file " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we can write each perturbed cross section into a copy of the original PENDF file for further use." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2023-07-05T15:17:55.549186Z", "iopub.status.busy": "2023-07-05T15:17:55.548576Z", "iopub.status.idle": "2023-07-05T15:17:59.216123Z", "shell.execute_reply": "2023-07-05T15:17:59.215272Z" } }, "outputs": [], "source": [ "ipert = 0\n", "perturbed_xs[ipert].to_endf6(tape).to_file(f\"copy_pert{ipert}.pendf\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python3 (sandy-devel)", "language": "python", "name": "sandy-devel" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.15" } }, "nbformat": 4, "nbformat_minor": 4 }