{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Boltzmann Outgoing Longwave Radiation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this document an Energy Balance Model (EBM) is set up with the Outgoing Longwave Radiation (OLR) parametrized through the Stefan Boltzmann radiation of a grey body. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$ OLR(\\varphi) = \\sigma \\cdot \\varepsilon \\cdot T_s(\\varphi)^4$$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import climlab\n", "from climlab import constants as const" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model Creation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An EBM model instance is created through" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# model creation\n", "ebm_boltz = climlab.EBM(D=0.8, Tf=-2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model is set up by default with a linearized OLR parametrization (A+BT)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "climlab Process of type . \n", "State variables and domain shapes: \n", " Ts: (90, 1) \n", "The subprocess tree: \n", "Untitled: \n", " LW: \n", " insolation: \n", " albedo: \n", " iceline: \n", " warm_albedo: \n", " cold_albedo: \n", " SW: \n", " diffusion: \n", "\n" ] } ], "source": [ "# print model states and suprocesses\n", "print(ebm_boltz)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create new subprocess" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The creation of a subprocess needs some information from the model, especially on which model state the subprocess should be defined on." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# create Boltzmann subprocess\n", "LW_boltz = climlab.radiation.Boltzmann(eps=0.65, tau=0.95,\n", " state=ebm_boltz.state,\n", " **ebm_boltz.param)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the model's **whole state dictionary** is given as **input** to the subprocess. In case only the temperature field ``ebm_boltz.state['Ts']`` would be given, a new state dictionary would be created which holds the surface temperature with the key ``'default'``. That raises an error as the Boltzmann process refers the temperature with key ``'Ts'``." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now the new OLR subprocess has to be merged into the model. Therefore, the `AplusBT` subprocess has to be removed first." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# remove the old longwave subprocess\n", "ebm_boltz.remove_subprocess('LW')\n", "\n", "# add the new longwave subprocess\n", "ebm_boltz.add_subprocess('LW',LW_boltz)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the new OLR subprocess has to have the **same key `'LW'`** as the old one, as the model refers to this key for radiation balance computation.\n", "\n", "That is why the old process has to be removed before the new one is added." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "climlab Process of type . \n", "State variables and domain shapes: \n", " Ts: (90, 1) \n", "The subprocess tree: \n", "Untitled: \n", " insolation: \n", " albedo: \n", " iceline: \n", " warm_albedo: \n", " cold_albedo: \n", " SW: \n", " diffusion: \n", " LW: \n", "\n" ] } ], "source": [ "print(ebm_boltz)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model integration & Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To visualize the model state at beginning of integration we first integrate the model only for one timestep:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# integrate model for a single timestep\n", "ebm_boltz.step_forward()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following code plots the current surface temperature, albedo and energy budget:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# creating plot figure\n", "fig = plt.figure(figsize=(15,10))\n", "\n", "# Temperature plot\n", "ax1 = fig.add_subplot(221)\n", "ax1.plot(ebm_boltz.lat,ebm_boltz.Ts)\n", "\n", "ax1.set_xticks([-90,-60,-30,0,30,60,90])\n", "ax1.set_xlim([-90,90])\n", "ax1.set_title('Surface Temperature', fontsize=14)\n", "ax1.set_ylabel('(degC)', fontsize=12)\n", "ax1.grid()\n", "\n", "# Albedo plot\n", "ax2 = fig.add_subplot(223, sharex = ax1)\n", "ax2.plot(ebm_boltz.lat,ebm_boltz.albedo)\n", "\n", "ax2.set_title('Albedo', fontsize=14)\n", "ax2.set_xlabel('latitude', fontsize=10)\n", "ax2.set_ylim([0,1])\n", "ax2.grid()\n", "\n", "# Net Radiation plot\n", "ax3 = fig.add_subplot(222, sharex = ax1)\n", "ax3.plot(ebm_boltz.lat, ebm_boltz.OLR, label='OLR', \n", " color='cyan')\n", "ax3.plot(ebm_boltz.lat, ebm_boltz.ASR, label='ASR', \n", " color='magenta')\n", "ax3.plot(ebm_boltz.lat, ebm_boltz.ASR-ebm_boltz.OLR,\n", " label='net radiation',\n", " color='red')\n", "\n", "ax3.set_title('Net Radiation', fontsize=14)\n", "ax3.set_ylabel('(W/m$^2$)', fontsize=12)\n", "ax3.legend(loc='best')\n", "ax3.grid()\n", "\n", "\n", "# Energy Balance plot\n", "net_rad = np.squeeze(ebm_boltz.net_radiation)\n", "transport = ebm_boltz.heat_transport_convergence\n", "\n", "ax4 = fig.add_subplot(224, sharex = ax1)\n", "ax4.plot(ebm_boltz.lat, net_rad, label='net radiation', \n", " color='red')\n", "ax4.plot(ebm_boltz.lat, transport, label='diffusion transport',\n", " color='blue')\n", "ax4.plot(ebm_boltz.lat, net_rad+np.squeeze(transport), label='balance',\n", " color='black')\n", "\n", "ax4.set_title('Energy', fontsize=14)\n", "ax4.set_xlabel('latitude', fontsize=10)\n", "ax4.set_ylabel('(W/m$^2$)', fontsize=12)\n", "ax4.legend(loc='best')\n", "ax4.grid()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The two right sided plots show that the model is not in equilibrium. The net radiation reveals that the model currently gains heat and therefore warms up at the poles and loses heat at the equator. From the Energy plot we can see that latitudinal energy balance is not met." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we integrate the model as long there are no more changes in the surface temperature and the model reached equilibrium:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total elapsed time is 7.011111111111103 years.\n" ] } ], "source": [ "# integrate model until solution converges\n", "ebm_boltz.integrate_converge()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We run the same code as above to plot the results:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# creating plot figure\n", "fig = plt.figure(figsize=(15,10))\n", "\n", "# Temperature plot\n", "ax1 = fig.add_subplot(221)\n", "ax1.plot(ebm_boltz.lat,ebm_boltz.Ts)\n", "\n", "ax1.set_xticks([-90,-60,-30,0,30,60,90])\n", "ax1.set_xlim([-90,90])\n", "ax1.set_title('Surface Temperature', fontsize=14)\n", "ax1.set_ylabel('(degC)', fontsize=12)\n", "ax1.grid()\n", "\n", "# Albedo plot\n", "ax2 = fig.add_subplot(223, sharex = ax1)\n", "ax2.plot(ebm_boltz.lat,ebm_boltz.albedo)\n", "\n", "ax2.set_title('Albedo', fontsize=14)\n", "ax2.set_xlabel('latitude', fontsize=10)\n", "ax2.set_ylim([0,1])\n", "ax2.grid()\n", "\n", "# Net Radiation plot\n", "ax3 = fig.add_subplot(222, sharex = ax1)\n", "ax3.plot(ebm_boltz.lat, ebm_boltz.OLR, label='OLR', \n", " color='cyan')\n", "ax3.plot(ebm_boltz.lat, ebm_boltz.ASR, label='ASR', \n", " color='magenta')\n", "ax3.plot(ebm_boltz.lat, ebm_boltz.ASR-ebm_boltz.OLR,\n", " label='net radiation',\n", " color='red')\n", "\n", "ax3.set_title('Net Radiation', fontsize=14)\n", "ax3.set_ylabel('(W/m$^2$)', fontsize=12)\n", "ax3.legend(loc='best')\n", "ax3.grid()\n", "\n", "\n", "# Energy Balance plot\n", "net_rad = np.squeeze(ebm_boltz.net_radiation)\n", "transport = ebm_boltz.heat_transport_convergence\n", "\n", "ax4 = fig.add_subplot(224, sharex = ax1)\n", "ax4.plot(ebm_boltz.lat, net_rad, label='net radiation', \n", " color='red')\n", "ax4.plot(ebm_boltz.lat, transport, label='diffusion transport',\n", " color='blue')\n", "ax4.plot(ebm_boltz.lat, net_rad+np.squeeze(transport), label='balance',\n", " color='black')\n", "\n", "ax4.set_title('Energy', fontsize=14)\n", "ax4.set_xlabel('latitude', fontsize=10)\n", "ax4.set_ylabel('(W/m$^2$)', fontsize=12)\n", "ax4.legend(loc='best')\n", "ax4.grid()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can see that the latitudinal energy balance is statisfied. Each latitude gains as much heat (net radiation) as is transported out of it (diffusion transport). There is a net radiation surplus in the equator region, so more shortwave radiation is absorbed there than is emitted through longwave radiation. At the poles there is a net radiation deficit. That imbalance is compensated by the diffusive energy transport term." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Global mean temperature\n", "We use climlab to compute the global mean temperature and print the ice edge latitude:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The global mean temperature is 13.33 deg C.\n", "The modeled ice edge is at 66.00 deg latitude.\n" ] } ], "source": [ "print('The global mean temperature is %.2f deg C.' %climlab.global_mean(ebm_boltz.Ts))\n", "print('The modeled ice edge is at %.2f deg latitude.' %np.max(ebm_boltz.icelat))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 1 }