{ "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": [ "from __future__ import division, print_function\n", "%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", "top: \n", " LW: \n", " insolation: \n", " albedo: \n", " iceline: \n", " warm_albedo: \n", " cold_albedo: \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", "top: \n", " insolation: \n", " albedo: \n", " iceline: \n", " warm_albedo: \n", " cold_albedo: \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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llMqltHTDg5NXsnz7P4y9+WJiGlR1OyRX3Nq2FsdOpDLy+3WElQtmRLeGboek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\n1auzaNEi6tevT+fOnWnUqBEbN24MJtg/8d1333HllVfSu3dvr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"text/plain": [ "" ] }, "metadata": {}, "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+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": [ "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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3Wi31G6CZn0GZUBTQpE+0SW8EsMI59880T30D9EFrQ/UBJgYyLmNO2LznMP3+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\nVxg6FAYPhqlTg45MykBJX4zJz3fc89lsWtavzqlavFkkrjWrW51zDk7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MdTwxYT5fZa6l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1prO1lr62X93eV1rOHAGOjb11X9Lr4YRo+GDh1gyxavIxORgkpPh//8xyV8f/wB77/vKnynnOJ1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\nQjGHFr4OHoR9+1TpCyGnn346bdu2BWDw4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"text/plain": [ "" ] }, "metadata": {}, "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+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": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 1 }