{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2017-03-02T11:34:48.173281", "start_time": "2017-03-02T11:34:47.125539" }, "collapsed": false, "deletable": true, "editable": true, "execution": { "iopub.execute_input": "2023-11-28T17:55:11.064960Z", "iopub.status.busy": "2023-11-28T17:55:11.064103Z", "iopub.status.idle": "2023-11-28T17:55:12.420472Z", "shell.execute_reply": "2023-11-28T17:55:12.419359Z", "shell.execute_reply.started": "2023-11-28T17:55:11.064889Z" }, "jupyter": { "outputs_hidden": false }, "run_control": { "frozen": false, "marked": true, "read_only": false } }, "outputs": [], "source": [ "import atmPy.aerosols.size_distribution.sizedistribution as atmsd" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true, "run_control": { "frozen": false, "read_only": false } }, "source": [ "# SizeDist (a single size distribution)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create instance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### simulate a sizedistribution" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:00:28.757009Z", "iopub.status.busy": "2023-11-28T18:00:28.755978Z", "iopub.status.idle": "2023-11-28T18:00:28.767846Z", "shell.execute_reply": "2023-11-28T18:00:28.766494Z", "shell.execute_reply.started": "2023-11-28T18:00:28.756903Z" } }, "outputs": [], "source": [ "sd = atmsd.simulate_sizedistribution(diameter=[10, 2500],\n", " numberOfDiameters=100,\n", " centerOfAerosolMode=200,\n", " widthOfAerosolMode=0.2,\n", " numberOfParticsInMode=1000,)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### format your own data" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T17:58:17.561964Z", "iopub.status.busy": "2023-11-28T17:58:17.561364Z", "iopub.status.idle": "2023-11-28T17:58:17.568451Z", "shell.execute_reply": "2023-11-28T17:58:17.567020Z", "shell.execute_reply.started": "2023-11-28T17:58:17.561910Z" } }, "outputs": [], "source": [ "atmsd.SizeDist(data, bins, distType)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`data` should have a similar structure as below. However, column names are not required as they are calculated based on `bins`" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:00:35.739967Z", "iopub.status.busy": "2023-11-28T18:00:35.739329Z", "iopub.status.idle": "2023-11-28T18:00:35.775157Z", "shell.execute_reply": "2023-11-28T18:00:35.773850Z", "shell.execute_reply.started": "2023-11-28T18:00:35.739914Z" } }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
bincenters10.28678510.87680311.50066312.16030612.85778413.59526714.37504915.19955816.07135816.993162...1472.3243491556.7723541646.0640381740.4772191840.3056501945.8599332057.4684862175.4785632300.2573362432.193036
08.067904e-081.653171e-073.338144e-076.642360e-070.0000010.0000030.0000050.0000090.0000170.00003...0.0000490.0000270.0000150.0000080.0000040.0000020.0000015.883500e-072.949072e-071.456683e-07
\n", "

1 rows × 99 columns

\n", "
" ], "text/plain": [ "bincenters 10.286785 10.876803 11.500663 12.160306 \\\n", "0 8.067904e-08 1.653171e-07 3.338144e-07 6.642360e-07 \n", "\n", "bincenters 12.857784 13.595267 14.375049 15.199558 16.071358 \\\n", "0 0.000001 0.000003 0.000005 0.000009 0.000017 \n", "\n", "bincenters 16.993162 ... 1472.324349 1556.772354 1646.064038 \\\n", "0 0.00003 ... 0.000049 0.000027 0.000015 \n", "\n", "bincenters 1740.477219 1840.305650 1945.859933 2057.468486 2175.478563 \\\n", "0 0.000008 0.000004 0.000002 0.000001 5.883500e-07 \n", "\n", "bincenters 2300.257336 2432.193036 \n", "0 2.949072e-07 1.456683e-07 \n", "\n", "[1 rows x 99 columns]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sd.data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`bins` are the binedges. For an example of how they should be formatted look again to the sizedistribution generated above" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:05:24.762720Z", "iopub.status.busy": "2023-11-28T18:05:24.761905Z", "iopub.status.idle": "2023-11-28T18:05:24.774798Z", "shell.execute_reply": "2023-11-28T18:05:24.772955Z", "shell.execute_reply.started": "2023-11-28T18:05:24.762664Z" } }, "outputs": [ { "data": { "text/plain": [ "array([ 10. , 10.57356931, 11.18003679, 11.82128938,\n", " 12.49932225, 13.21624501, 13.97428826, 14.77581054,\n", " 15.62330568, 16.51941053, 17.46691322, 18.46876174,\n", " 19.52807323, 20.64814357, 21.8324577 , 23.08470046,\n", " 24.40876803, 25.80878004, 27.28909244, 28.85431102,\n", " 30.50930573, 32.25922586, 34.10951604, 36.06593318,\n", " 38.1345644 , 40.32184597, 42.63458328, 45.07997211,\n", " 47.66562094, 50.39957465, 53.29033955, 56.34690986,\n", " 59.57879565, 62.99605249, 66.6093127 , 70.42981842,\n", " 74.46945662, 78.74079607, 83.25712644, 88.03249966,\n", " 93.08177363, 98.42065845, 104.06576532, 110.03465819,\n", " 116.34590844, 123.01915263, 130.07515362, 137.53586517,\n", " 145.42450023, 153.76560319, 162.58512621, 171.91050999,\n", " 181.77076917, 192.19658255, 203.22038858, 214.87648629,\n", " 227.20114199, 240.23270211, 254.01171251, 268.58104466,\n", " 283.98602898, 300.27459591, 317.49742505, 335.7081028 ,\n", " 354.96328913, 375.32289384, 396.85026299, 419.61237596,\n", " 443.68005385, 469.12817988, 496.0359323 , 524.48703081,\n", " 554.56999699, 586.37842978, 620.01129664, 655.57324151,\n", " 693.17491038, 732.93329556, 774.97209967, 819.42212055,\n", " 866.42165819, 916.11694505, 968.66260102, 1024.22211453,\n", " 1082.9683512 , 1145.08409168, 1210.76260037, 1280.20822673,\n", " 1353.63704105, 1431.27750677, 1513.37119129, 1600.17351757,\n", " 1691.95455884, 1788.99987893, 1891.6114207 , 2000.10844554,\n", " 2114.8285267 , 2236.12859958, 2364.38607231, 2500. ])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sd.bins" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To see options for the `distType` argument see help file. This is what our generated was:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:08:04.058781Z", "iopub.status.busy": "2023-11-28T18:08:04.057973Z", "iopub.status.idle": "2023-11-28T18:08:04.068603Z", "shell.execute_reply": "2023-11-28T18:08:04.066909Z", "shell.execute_reply.started": "2023-11-28T18:08:04.058728Z" } }, "outputs": [ { "data": { "text/plain": [ "'dNdDp'" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sd.distributionType" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "create the instance" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:08:39.996196Z", "iopub.status.busy": "2023-11-28T18:08:39.995406Z", "iopub.status.idle": "2023-11-28T18:08:40.005028Z", "shell.execute_reply": "2023-11-28T18:08:40.003526Z", "shell.execute_reply.started": "2023-11-28T18:08:39.996114Z" } }, "outputs": [], "source": [ "sdc = atmsd.SizeDist(sd.data, sd.bins, sd.distributionType)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Operations" ] }, { "cell_type": "markdown", "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:11:06.096973Z", "iopub.status.busy": "2023-11-28T18:11:06.096097Z", "iopub.status.idle": "2023-11-28T18:11:06.108697Z", "shell.execute_reply": "2023-11-28T18:11:06.105311Z", "shell.execute_reply.started": "2023-11-28T18:11:06.096918Z" } }, "source": [ "You can add two sizedistributions." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:11:46.442237Z", "iopub.status.busy": "2023-11-28T18:11:46.441616Z", "iopub.status.idle": "2023-11-28T18:11:46.451336Z", "shell.execute_reply": "2023-11-28T18:11:46.449176Z", "shell.execute_reply.started": "2023-11-28T18:11:46.442182Z" } }, "outputs": [], "source": [ "sdnew = sd + sdc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Properties" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most attributes and methods of a SizeDist are in the form of paroperties. It is worth checking the namespace and find out what there is, including particle, mass, volume concentrations, growth simulation, mode extrapolation.\n", "Some of the properties have setters which will take care of implicit changes to the size distribution." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Methods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:16:50.268576Z", "iopub.status.busy": "2023-11-28T18:16:50.267576Z", "iopub.status.idle": "2023-11-28T18:16:50.602955Z", "shell.execute_reply": "2023-11-28T18:16:50.601655Z", "shell.execute_reply.started": "2023-11-28T18:16:50.268491Z" } }, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sd.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Moment conversion" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:27:59.868842Z", "iopub.status.busy": "2023-11-28T18:27:59.867999Z", "iopub.status.idle": "2023-11-28T18:27:59.877829Z", "shell.execute_reply": "2023-11-28T18:27:59.875661Z", "shell.execute_reply.started": "2023-11-28T18:27:59.868764Z" } }, "outputs": [], "source": [ "sd = sd.convert2dNdlogDp()" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:28:06.268664Z", "iopub.status.busy": "2023-11-28T18:28:06.267830Z", "iopub.status.idle": "2023-11-28T18:28:06.708699Z", "shell.execute_reply": "2023-11-28T18:28:06.707963Z", "shell.execute_reply.started": "2023-11-28T18:28:06.268606Z" } }, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sd.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### optical properties" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Mie" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:22:23.321197Z", "iopub.status.busy": "2023-11-28T18:22:23.320432Z", "iopub.status.idle": "2023-11-28T18:22:23.474902Z", "shell.execute_reply": "2023-11-28T18:22:23.474261Z", "shell.execute_reply.started": "2023-11-28T18:22:23.321136Z" } }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
ext_coeff_m^1
00.000086
\n", "
" ], "text/plain": [ " ext_coeff_m^1\n", "0 0.000086" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sd.optical_properties.parameters.refractive_index = 1.5\n", "sd.optical_properties.parameters.wavelength = 500\n", "sd.optical_properties.extinction_coeff # explore namespace for more Mie results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### t-matrix" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:28:33.484809Z", "iopub.status.busy": "2023-11-28T18:28:33.484249Z", "iopub.status.idle": "2023-11-28T18:28:33.492070Z", "shell.execute_reply": "2023-11-28T18:28:33.490865Z", "shell.execute_reply.started": "2023-11-28T18:28:33.484756Z" } }, "outputs": [], "source": [ "sd.optical_properties.parameters.refractive_index = 1.5\n", "sd.optical_properties.parameters.wavelength = 500\n", "sd.optical_properties.parameters.asphericity = 5\n", "sd.optical_properties.scattering_coeff # explore namespace for more Mie results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### hygroscopic growth" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**GOTCHA** you can loose particles when applying growth!!! See help of `sd.grow_sizedistribution` function! There are functions that extrapolate size distributions assuming normal distributions. Consider using those." ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:53:14.248091Z", "iopub.status.busy": "2023-11-28T18:53:14.247104Z", "iopub.status.idle": "2023-11-28T18:53:14.265020Z", "shell.execute_reply": "2023-11-28T18:53:14.263158Z", "shell.execute_reply.started": "2023-11-28T18:53:14.247985Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reload(atmsd.hygroscopicity)\n", "reload(atmsd)" ] }, { "cell_type": "code", "execution_count": 86, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:53:14.484890Z", "iopub.status.busy": "2023-11-28T18:53:14.484169Z", "iopub.status.idle": "2023-11-28T18:53:14.492086Z", "shell.execute_reply": "2023-11-28T18:53:14.490548Z", "shell.execute_reply.started": "2023-11-28T18:53:14.484833Z" } }, "outputs": [], "source": [ "sd = atmsd.SizeDist(sd.data, sd.bins, sd.distributionType)" ] }, { "cell_type": "code", "execution_count": 92, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:59:20.049584Z", "iopub.status.busy": "2023-11-28T18:59:20.048752Z", "iopub.status.idle": "2023-11-28T18:59:20.057509Z", "shell.execute_reply": "2023-11-28T18:59:20.055644Z", "shell.execute_reply.started": "2023-11-28T18:59:20.049528Z" } }, "outputs": [], "source": [ "sd.hygroscopicity.parameters.kappa = 0.6\n", "sd.hygroscopicity.parameters.RH = 80" ] }, { "cell_type": "code", "execution_count": 93, "metadata": { "execution": { "iopub.execute_input": "2023-11-28T18:59:20.470953Z", "iopub.status.busy": "2023-11-28T18:59:20.470332Z", "iopub.status.idle": "2023-11-28T18:59:21.665185Z", "shell.execute_reply": "2023-11-28T18:59:21.664512Z", "shell.execute_reply.started": "2023-11-28T18:59:20.470895Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/export/htelg/prog/atm-py/atmPy/aerosols/size_distribution/diameter_binning.py:53: NumbaDeprecationWarning: \u001b[1mThe 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\u001b[0m\n", " def match_bins(index, columns, df_match):\n", "/export/htelg/prog/atm-py/atmPy/aerosols/size_distribution/diameter_binning.py:81: NumbaDeprecationWarning: \u001b[1mThe 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\u001b[0m\n", " def match2data(data, df_match,new_data):\n" ] }, { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 93, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f,a = sd.plot()\n", "sd.hygroscopicity.grown_size_distribution.plot(ax= a)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "hide_input": false, "kernelspec": { "display_name": "py310telg", "language": "python", "name": "py310telg" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.13" }, "nav_menu": {}, "toc": { "colors": { "hover_highlight": "#DAA520", "running_highlight": "#FF0000", "selected_highlight": "#FFD700" }, "moveMenuLeft": true, "nav_menu": { "height": "387px", "width": "252px" }, "navigate_menu": true, "number_sections": true, "sideBar": true, "threshold": 4, "toc_cell": false, "toc_section_display": "block", "toc_window_display": true }, "toc_position": { "height": "960px", "left": "0px", "right": "2361.33px", "top": "107px", "width": "212px" } }, "nbformat": 4, "nbformat_minor": 4 }