{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "bb2f515e-47e8-4456-ba38-e1a0132685be", "metadata": { "tags": [] }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "def set_font_func(ftsz):\n", " # set the fontsize for the plots\n", " plt.rcParams['xtick.labelsize']=ftsz\n", " plt.rcParams['ytick.labelsize']=ftsz\n", " plt.rcParams['axes.labelsize'] = ftsz\n", " plt.rcParams['legend.fontsize'] = ftsz\n", " plt.rcParams['axes.titlesize'] = ftsz\n", "set_font_func(15)" ] }, { "cell_type": "code", "execution_count": 2, "id": "9ec47598-56d4-4e79-bcf0-713f5c8b4b78", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# read data from variables\n", "cpmv = np.loadtxt('cpmv.txt')\n", "step = cpmv[:,0]\n", "height = cpmv[:,2]\n", "\n", "var = {}\n", "var['temp'] = cpmv[:,3]\n", "var['press'] = cpmv[:,4]*1.0e-3 #hPa\n", "var['sat'] = (cpmv[:,6]-1)*100\n", "var['vmr'] = cpmv[:,11]*1.0e3\n", "var['lmr'] = cpmv[:,12]*1.0e3\n", "var['lwc'] = cpmv[:,14]*1.0e6\n", "var['cdconc'] = cpmv[:,15]\n", "var['rmean'] = cpmv[:,16]*1.0e4\n", "\n", "# plot data from variables\n", "label = ['T','S','$q_v$','$q_l$','$N_c$','$r_m$']\n", "units = ['K','%','g $kg^{-1}$','g $kg^{-1}$','$cm^{-3}$','$\\mu$m']\n", "ii=0\n", "(fig, axes) = plt.subplots(2,3,figsize=(6,6),sharey=True)\n", "plt.subplots_adjust(hspace=0.5)\n", "set_font_func(12)\n", "\n", "for var_name in ['temp','sat','vmr','lmr','cdconc','rmean']: \n", " \n", " ax = axes[ii//3,ii%3]\n", " ax.plot(var[var_name],height*0.01)\n", " ax.set_xlabel(label[ii] + f' ({units[ii]})')\n", " ii += 1\n", " \n", "axes[0,0].set_ylabel('Height (m)')\n", "axes[1,0].set_ylabel('Height (m)')\n", "\n", "fig.savefig(f'./var',dpi=fig.dpi,bbox_inches='tight', pad_inches=0.5)\n", "#plt.close()\n", " " ] }, { "cell_type": "code", "execution_count": 5, "id": "245f0490-9a94-48d2-a454-b45ec1e90a26", "metadata": { "tags": [] }, "outputs": [], "source": [ "# read data from droplet size distribution\n", "nbin = cpmv[0,-1].astype(int)\n", "cpmr = np.loadtxt('cpmr.txt')\n", "step_r = cpmr[::3,0]\n", "radius = cpmr[0::3,1:]*1.0e4 # micron\n", "conc = cpmr[1::3,1:]\n", "aero_st = cpmr[2::3,1:]\n", "\n", "# estimate the bin width\n", "def get_width(my_array):\n", " diff = my_array[1:] - my_array[:-1]\n", " left = my_array[0] - diff[0]/2\n", " right = my_array[-1] + diff[-1]/2\n", " width_final = np.append(np.append(left,my_array[:-1]+diff/2),right)\n", " return (width_final[1:] - width_final[:-1])\n", "\n", "\n", "ntime = step_r.shape[0]\n", "bin_w = np.zeros_like(radius)\n", "for itime in range(ntime):\n", " if np.sum(aero_st[itime,:]<=1)>1:\n", " bin_w[itime,:][aero_st[itime,:]==1] = get_width(radius[itime,:][aero_st[itime,:]==1])\n", " elif np.sum(aero_st[itime,:]<=1)>1==1:\n", " bin_w[itime,:][aero_st[itime,:]==1] = np.nan\n", " \n", " if np.sum(aero_st[itime,:]>1)>1:\n", " bin_w[itime,:][aero_st[itime,:]>1] = get_width(radius[itime,:][aero_st[itime,:]>1])\n", " elif np.sum(aero_st[itime,:]>1)==1:\n", " bin_w[itime,:][aero_st[itime,:]>1] = np.nan\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "ae18626a-41fb-4610-8c17-aa374296a393", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(fig, axes) = plt.subplots(1,3,figsize=(8,4),sharey=True,sharex=True)\n", "\n", "for (ii,itime) in zip(np.arange(3), [0,int(ntime/2),ntime-1]):\n", " ax = axes[ii]\n", " ax.plot(radius[itime,:]*1.0e4,conc[itime,:]/bin_w[itime,:],'o')\n", " ax.set_xscale('log')\n", " ax.set_yscale('log')\n", " ax.set_xlabel('Radius ($\\mu$m)')\n", " ax.set_title(f'{itime+1} s')\n", " if ii==0:\n", " ax.set_ylabel('Concentration ($cm^{-3}$ $\\mu m^{-1}$)')\n", " \n", "fig.savefig(f'./dsd',dpi=fig.dpi,bbox_inches='tight', pad_inches=0.5)" ] }, { "cell_type": "code", "execution_count": null, "id": "7a2a3c5c-fa0d-4938-947c-bfe3c5ba7e85", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "myenv-jupyter", "language": "python", "name": "myenv-jupyter" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.3" } }, "nbformat": 4, "nbformat_minor": 5 }