From 3e34f0935911eefb86570f3347ecfa1b48110edb Mon Sep 17 00:00:00 2001
From: Norbert Grunwald <norbert.grunwald@ufz.de>
Date: Wed, 19 Oct 2022 11:14:56 +0200
Subject: [PATCH] [web/doc] Modified gas compression jupyter notebook for web
 gallery

---
 .../confined_compression.ci-skip.ipynb        | 440 --------------
 .../confined_gas_compression.ipynb            | 546 ++++++++++++++++++
 .../idealGasLaw/confined_gas_compression.png  | Bin 0 -> 112917 bytes
 3 files changed, 546 insertions(+), 440 deletions(-)
 delete mode 100644 Tests/Data/TH2M/TH/idealGasLaw/confined_compression.ci-skip.ipynb
 create mode 100644 Tests/Data/TH2M/TH/idealGasLaw/confined_gas_compression.ipynb
 create mode 100644 Tests/Data/TH2M/TH/idealGasLaw/confined_gas_compression.png

diff --git a/Tests/Data/TH2M/TH/idealGasLaw/confined_compression.ci-skip.ipynb b/Tests/Data/TH2M/TH/idealGasLaw/confined_compression.ci-skip.ipynb
deleted file mode 100644
index a8a0c37d16f..00000000000
--- a/Tests/Data/TH2M/TH/idealGasLaw/confined_compression.ci-skip.ipynb
+++ /dev/null
@@ -1,440 +0,0 @@
-{
- "cells": [
-  {
-   "source": [
-    "# Confined compression of a cube\n",
-    "\n",
-    "Mass and energy balances below are taken from the paper in review: \"Non-isothermal two-phase flow in deformable porous media: Systematic open-source implementation and verification procedure\"\n",
-    "\n",
-    "Consider a gasous cube which is compressed by 10% from its top surface.\n",
-    "All boundaries are closed, therefore there are no fluxes nor flows of any phase, so $\\mathbf{A}=0$ and $\\mathbf{J}=0$. \n",
-    "Biot coefficient is $\\alpha_B=1$, thus $\\beta_{p,\\text{SR}}=0$, and $\\phi=\\phi_\\text{G}=1$.\n",
-    "With $s_\\text{G}=1$, $s_\\text{L}=0$  and $\\left(s_\\text{L}\\right)'_\\text{S}=0$, the mass balance equation (eq. 40 in the paper) simplifies to\n",
-    "$$\n",
-    "0=\\rho_\\text{GR}\\text{div}\\left(\\mathbf{u}_\\text{S}\\right)'_\\text{S}+\\left(\\rho_\\text{GR}\\right)'_\\text{S}.\n",
-    "$$\n",
-    "With volume strain $e=\\text{div}\\left(\\mathbf{u}_\\text{S}\\right)'_\\text{S}$ we write\n",
-    "$$\n",
-    "\\frac{1}{\\rho_\\text{GR}}\\left(\\rho_\\text{GR}\\right)'_\\text{S}=-e,\n",
-    "$$\n",
-    "which can be integrated\n",
-    "$$\n",
-    "\\int^{\\rho_\\text{GR}}_{\\rho_{\\text{GR},0}}\\frac{1}{\\rho_\\text{GR}}\\text{d}\\,\\rho_\\text{GR}=-e\n",
-    "$$\n",
-    "so that we find \n",
-    "$$\n",
-    "\\ln\\left(\\rho_\\text{GR}\\right) - \\ln\\left(\\rho_{\\text{GR},0}\\right) = -e\n",
-    "$$\n",
-    "or \n",
-    "$$\n",
-    "\\rho_\\text{GR}=\\rho_{\\text{GR},0}\\exp\\left(-e\\right).\n",
-    "$$\n",
-    "\n",
-    "The evolution of gas pressure can be found from energy balance equation (eq. 50 in the paper):\n",
-    "Starting from\n",
-    "$$\n",
-    "\\left(\\Sigma_\\alpha\\rho_\\alpha u_\\alpha\\right)'_\\text{S}\n",
-    "+\\left(\\Sigma_\\alpha\\rho_\\alpha h_\\alpha\\right)\\text{div}\\left(\\mathbf{u}_\\text{S}\\right)'_\\text{S}\n",
-    "=0,\n",
-    "$$\n",
-    "with $u_\\text{S}=h_\\text{S}$ and $u_\\text{G}=h_\\text{G}-\\frac{p_\\text{GR}}{\\rho_\\text{GR}}$ and with $h_\\alpha=c_{p,\\alpha}T$. Considering that $\\phi_\\alpha=\\text{const}$ and $c_{p,\\text{S}}=0$, we find\n",
-    "$$\n",
-    "\\left(\\rho_\\text{GR}\\right)'_\\text{S}\\left(c_{p,\\text{G}}T-p_\\text{GR}\\rho_\\text{GR}^{-1}\\right)\n",
-    "+\n",
-    "\\rho_\\text{GR}\\left(c_{p,\\text{G}}T-p_\\text{GR}\\rho_\\text{GR}^{-1}\\right)'_\\text{S}\n",
-    "+\n",
-    "\\rho_\\text{GR}c_{p,\\text{G}}Te=0.\n",
-    "$$\n",
-    "Assuming ideal gas behaviour, we can write $\\frac{p_\\text{GR}}{\\rho_\\text{GR}}=\\frac{M}{RT}$ and find\n",
-    "$$\n",
-    "\\left(\\rho_\\text{GR}\\right)'_\\text{S}c_{v,\\text{G}}T\n",
-    "+\n",
-    "\\rho_\\text{GR}\\left(c_{v,\\text{G}}T\\right)'_\\text{S}\n",
-    "+\n",
-    "\\rho_\\text{GR}c_{p,\\text{G}}Te=0.\n",
-    "$$\n",
-    "With $c_{v,\\text{G}}=\\text{const}$ it follows\n",
-    "$$\n",
-    "\\frac{\\rho_\\text{GR}}{p_\\text{GR}}\\left(p_\\text{GR}\\right)'_\\text{S}c_{v,\\text{G}}T\n",
-    "+\n",
-    "\\rho_\\text{GR}c_{p,\\text{G}}Te=0.\n",
-    "$$\n",
-    "Density and temperature cancel out so the final equation can be written as \n",
-    "$$\n",
-    "\\frac{1}{p_\\text{GR}}\\left(p_\\text{GR}\\right)'_\\text{S}\n",
-    "=-\\kappa e\n",
-    "$$\n",
-    "with the adiabatic index $\\kappa = \\frac{c_v}{c_p}$. The equation can be integrated to find the solution for the pressure evolution\n",
-    "$$\n",
-    "p_\\text{GR}=p_{\\text{GR},0}\\exp\\left(-\\kappa e\\right)\n",
-    "$$\n",
-    "\n",
-    "The temperature evolution follows _Poissons_ equations for isentropic processes\n",
-    "$$\n",
-    "T=T_0\\left(\\frac{p_\\text{GR}}{p_{\\text{GR},0}}\\right)^{\\frac{\\kappa-1}{\\kappa}}.\n",
-    "$$"
-   ],
-   "cell_type": "markdown",
-   "metadata": {}
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 19,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "import numpy as np\n",
-    "import matplotlib.pyplot as plt\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 20,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "\n",
-    "# time runs from 0 to 10 in 11 steps\n",
-    "t = np.linspace(0, 10, 11)\n",
-    "\n",
-    "# volume strain is a function of time\n",
-    "e = -t/100\n",
-    "\n",
-    "# initial state\n",
-    "p_0 = 1e6\n",
-    "T_0 = 270\n",
-    "R = 8.3144621\n",
-    "M = 0.01\n",
-    "c_p = 1000\n",
-    "\n",
-    "c_v = c_p-R/M\n",
-    "rho_0 = p_0*M/R/T_0\n",
-    "kappa=c_p/c_v\n",
-    "\n",
-    "# density, pressure and temperature fields\n",
-    "rho_GR = rho_0*np.exp(-e)\n",
-    "p_GR=p_0*np.exp(-kappa*e)\n",
-    "T = p_GR*M/R/rho_GR\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 21,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "from ogs6py.ogs import OGS\n",
-    "import vtuIO"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 22,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "cube_compression=OGS(PROJECT_FILE=\"compression_gas.prj\")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 23,
-   "metadata": {},
-   "outputs": [
-    {
-     "output_type": "stream",
-     "name": "stdout",
-     "text": [
-      "OGS finished with project file compression_gas.prj.\nExecution took 0.46060657501220703 s\n"
-     ]
-    }
-   ],
-   "source": [
-    "PATH_OGS=\"/home/norbert/OGS/build_release/bin\"\n",
-    "cube_compression.run_model(path=PATH_OGS)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 24,
-   "metadata": {},
-   "outputs": [
-    {
-     "output_type": "stream",
-     "name": "stdout",
-     "text": [
-      "result_compression_gas.pvd\n"
-     ]
-    }
-   ],
-   "source": [
-    "pvdfile = vtuIO.PVDIO(\"result_compression_gas.pvd\", dim=2)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 25,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "time = pvdfile.timesteps"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 26,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "point={'pt0': (0.0,1.0,0.0)}"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 27,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "# read pressure, temperature and density from pvd result file\n",
-    "pressure = pvdfile.read_time_series(\"gas_pressure_interpolated\", point)\n",
-    "temperature = pvdfile.read_time_series(\"temperature_interpolated\", point)\n",
-    "density = pvdfile.read_time_series(\"gas_density\", point)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 28,
-   "metadata": {},
-   "outputs": [
-    {
-     "output_type": "display_data",
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-     },
-     "metadata": {
-      "needs_background": "light"
-     }
-    }
-   ],
-   "source": [
-    "p_GR_num=pressure['pt0']\n",
-    "T_num=temperature['pt0']\n",
-    "rho_GR_num=density['pt0']\n",
-    "\n",
-    "plt.plot(time,rho_GR_num, 'k*',  label='rho_GR, numerical')\n",
-    "plt.plot(t,rho_GR,'r-', label='rho_GR, analytical')\n",
-    "\n",
-    "plt.legend()\n",
-    "plt.show()\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 29,
-   "metadata": {},
-   "outputs": [
-    {
-     "output_type": "display_data",
-     "data": {
-      "text/plain": "<Figure size 432x288 with 1 Axes>",
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-     },
-     "metadata": {
-      "needs_background": "light"
-     }
-    }
-   ],
-   "source": [
-    "err_rho_abs = rho_GR - rho_GR_num\n",
-    "err_rho_rel = err_rho_abs / rho_GR\n",
-    "plt.plot(t,err_rho_abs,'r-', label='rho_GR absolute error')\n",
-    "plt.plot(t,err_rho_rel,'b-', label='rho_GR relative error')\n",
-    "\n",
-    "plt.legend()\n",
-    "plt.show()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 30,
-   "metadata": {},
-   "outputs": [
-    {
-     "output_type": "display_data",
-     "data": {
-      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
-     },
-     "metadata": {
-      "needs_background": "light"
-     }
-    }
-   ],
-   "source": [
-    "\n",
-    "plt.plot(time,p_GR_num, 'k*',  label='p_GR, numerical')\n",
-    "plt.plot(t,p_GR,'g-', label='p_GR, analytical')\n",
-    "\n",
-    "plt.legend()\n",
-    "plt.show()\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 31,
-   "metadata": {},
-   "outputs": [
-    {
-     "output_type": "display_data",
-     "data": {
-      "text/plain": "<Figure size 432x288 with 1 Axes>",
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-     },
-     "metadata": {
-      "needs_background": "light"
-     }
-    }
-   ],
-   "source": [
-    "err_p_abs = p_GR - p_GR_num\n",
-    "plt.plot(t,err_p_abs,'r-', label='p_GR absolute error')\n",
-    "\n",
-    "plt.legend()\n",
-    "plt.show()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 32,
-   "metadata": {},
-   "outputs": [
-    {
-     "output_type": "display_data",
-     "data": {
-      "text/plain": "<Figure size 432x288 with 1 Axes>",
-      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg height=\"248.518125pt\" version=\"1.1\" viewBox=\"0 0 405.932812 248.518125\" width=\"405.932812pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-09-13T16:05:04.688373</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style 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\n"
-     },
-     "metadata": {
-      "needs_background": "light"
-     }
-    }
-   ],
-   "source": [
-    "err_p_rel = err_p_abs / p_GR\n",
-    "plt.plot(t,err_p_rel,'b-', label='p_GR relative error')\n",
-    "\n",
-    "plt.legend()\n",
-    "plt.show()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 33,
-   "metadata": {},
-   "outputs": [
-    {
-     "output_type": "display_data",
-     "data": {
-      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
-     },
-     "metadata": {
-      "needs_background": "light"
-     }
-    }
-   ],
-   "source": [
-    "\n",
-    "plt.plot(time,T_num, 'k*',  label='T, numerical')\n",
-    "plt.plot(t,T,'b-', label='T, analytical')\n",
-    "\n",
-    "plt.legend()\n",
-    "plt.show()\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 34,
-   "metadata": {},
-   "outputs": [
-    {
-     "output_type": "display_data",
-     "data": {
-      "text/plain": "<Figure size 432x288 with 1 Axes>",
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-     },
-     "metadata": {
-      "needs_background": "light"
-     }
-    }
-   ],
-   "source": [
-    "err_T_abs = T - T_num\n",
-    "plt.plot(t,err_T_abs,'r-', label='T absolute error')\n",
-    "plt.legend()\n",
-    "plt.show()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 35,
-   "metadata": {},
-   "outputs": [
-    {
-     "output_type": "display_data",
-     "data": {
-      "text/plain": "<Figure size 432x288 with 1 Axes>",
-      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg height=\"248.518125pt\" version=\"1.1\" viewBox=\"0 0 405.932812 248.518125\" width=\"405.932812pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <metadata>\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2021-09-13T16:05:05.729406</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.4.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style 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\n"
-     },
-     "metadata": {
-      "needs_background": "light"
-     }
-    }
-   ],
-   "source": [
-    "err_T_rel = err_T_abs / T\n",
-    "\n",
-    "plt.plot(t,err_T_rel,'b-', label='T relative error')\n",
-    "plt.legend()\n",
-    "plt.show()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "name": "python3",
-   "display_name": "Python 3",
-   "language": "python"
-  },
-  "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": 5
-}
\ No newline at end of file
diff --git a/Tests/Data/TH2M/TH/idealGasLaw/confined_gas_compression.ipynb b/Tests/Data/TH2M/TH/idealGasLaw/confined_gas_compression.ipynb
new file mode 100644
index 00000000000..9bf9cc4472a
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/confined_gas_compression.ipynb
@@ -0,0 +1,546 @@
+{
+ "cells": [
+  {
+   "cell_type": "raw",
+   "id": "75afeb19",
+   "metadata": {},
+   "source": [
+    "title = \"Confined gas compression\"\n",
+    "date = \"2022-10-19\"\n",
+    "author = \"Norbert Grunwald\"\n",
+    "notebook = \"TH2M/TH/idealGasLaw/confined_gas_compression.ipynb\"\n",
+    "image = \"confined_gas_compression.png\"\n",
+    "web_subsection = \"th2m\"\n",
+    "<!--eofm-->"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "3cbaec2c",
+   "metadata": {},
+   "source": [
+    "|<div style=\"width:330px\"><img src=\"https://www.ufz.de/static/custom/weblayout/DefaultInternetLayout/img/logos/ufz_transparent_de_blue.png\" width=\"300\"/></div>|<div style=\"width:330px\"><img src=\"https://discourse.opengeosys.org/uploads/default/original/1X/a288c27cc8f73e6830ad98b8729637a260ce3490.png\" width=\"300\"/></div>|<div style=\"width:330px\"><img src=\"https://tu-freiberg.de/sites/default/files/media/freiberger-alumni-netzwerk-6127/wbm_orig_rgb_0.jpg\" width=\"300\"/></div>|\n",
+    "|---|---|--:|"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "bf0c631e",
+   "metadata": {},
+   "source": [
+    "# Confined compression of a cube\n",
+    "\n",
+    "In this test, the thermodynamic relationships between gas pressure, temperature and density are tested.\n",
+    "For that, a cube-shaped domain consisting of an ideal gas is compressed by 50\\% of its initial volume over a short period of time, starting from the top surface.\n",
+    "The boundaries of that domain are impermeable to fluid flow, therefore gas pressure and density must increase as a result of the decreasing volume.\n",
+    "Since energy flow across the boundaries is also prevented, this compression is an adiabatic change of state. No frictional losses are taken into account, so the process can be reversed at any time and the entropy in the overall system remains constant.\n",
+    "\n",
+    "## Analytical solution\n",
+    "\n",
+    "### Density evolution\n",
+    "\n",
+    "The mass balance for such a system can be found by simplifying the mass balance (eq. 44 in Grunwald et al., 2022). With \n",
+    "$\\phi=s_\\mathrm{G}=\\alpha_\\mathrm{B}=1$ and $\\mathrm{A}^\\zeta_\\alpha=\\mathrm{J}^\\zeta_\\alpha=0$\n",
+    "one obtains\n",
+    "$$\n",
+    "0=\\rho_\\mathrm{GR}\\mathrm{div}\\left(\\mathbf{u}_\\mathrm{S}\\right)'_\\mathrm{S}+\\left(\\rho_\\mathrm{GR}\\right)'_\\mathrm{S}\n",
+    "$$\n",
+    "\n",
+    "With volume strain $e=\\text{div}\\left(\\mathbf{u}_\\text{S}\\right)'_\\text{S}$ we write\n",
+    "$$\n",
+    "\\frac{1}{\\rho_\\text{GR}}\\left(\\rho_\\text{GR}\\right)'_\\text{S}=-e,\n",
+    "$$\n",
+    "which can be integrated\n",
+    "$$\n",
+    "\\int^{\\rho_\\text{GR}}_{\\rho_{\\text{GR},0}}\\frac{1}{\\rho_\\text{GR}}\\text{d}\\,\\rho_\\text{GR}=-e\n",
+    "$$\n",
+    "so that we find \n",
+    "$$\n",
+    "\\ln\\left(\\rho_\\text{GR}\\right) - \\ln\\left(\\rho_{\\text{GR},0}\\right) = -e\n",
+    "$$\n",
+    "or \n",
+    "$$\n",
+    "\\rho_\\text{GR}=\\rho_{\\text{GR},0}\\exp\\left(-e\\right).\n",
+    "$$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "3ba4c97e",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "8be5661a",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# time runs from 0 to 10 in 11 steps\n",
+    "t = np.linspace(0, 10, 11)\n",
+    "\n",
+    "# volume strain is a function of time\n",
+    "e = -t/100\n",
+    "\n",
+    "# initial state\n",
+    "p_0 = 1e6\n",
+    "T_0 = 270\n",
+    "R = 8.3144621\n",
+    "M = 0.01\n",
+    "c_p = 1000\n",
+    "\n",
+    "c_v = c_p-R/M\n",
+    "rho_0 = p_0*M/R/T_0\n",
+    "kappa=c_p/c_v\n",
+    "\n",
+    "# density\n",
+    "rho_GR = rho_0*np.exp(-e)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "236433b0",
+   "metadata": {},
+   "source": [
+    "### Gas pressure evolution\n",
+    "\n",
+    "The evolution of gas pressure can be found from energy balance equation (eq. 51 in the paper):\n",
+    "Starting from\n",
+    "$$\n",
+    "\\left(\\Sigma_\\alpha\\rho_\\alpha u_\\alpha\\right)'_\\text{S}\n",
+    "+\\left(\\Sigma_\\alpha\\rho_\\alpha h_\\alpha\\right)\\text{div}\\left(\\mathbf{u}_\\text{S}\\right)'_\\text{S}\n",
+    "=0,\n",
+    "$$\n",
+    "with $u_\\text{S}=h_\\text{S}$ and $u_\\text{G}=h_\\text{G}-\\frac{p_\\text{GR}}{\\rho_\\text{GR}}$ and with $h_\\alpha=c_{p,\\alpha}T$. Considering that $\\phi_\\alpha=\\text{const}$ and $c_{p,\\text{S}}=0$, we find\n",
+    "$$\n",
+    "\\left(\\rho_\\text{GR}\\right)'_\\text{S}\\left(c_{p,\\text{G}}T-p_\\text{GR}\\rho_\\text{GR}^{-1}\\right)\n",
+    "+\n",
+    "\\rho_\\text{GR}\\left(c_{p,\\text{G}}T-p_\\text{GR}\\rho_\\text{GR}^{-1}\\right)'_\\text{S}\n",
+    "+\n",
+    "\\rho_\\text{GR}c_{p,\\text{G}}Te=0.\n",
+    "$$\n",
+    "Assuming ideal gas behaviour, we can write $\\frac{p_\\text{GR}}{\\rho_\\text{GR}}=\\frac{M}{RT}$ and find\n",
+    "$$\n",
+    "\\left(\\rho_\\text{GR}\\right)'_\\text{S}c_{v,\\text{G}}T\n",
+    "+\n",
+    "\\rho_\\text{GR}\\left(c_{v,\\text{G}}T\\right)'_\\text{S}\n",
+    "+\n",
+    "\\rho_\\text{GR}c_{p,\\text{G}}Te=0.\n",
+    "$$\n",
+    "With $c_{v,\\text{G}}=\\text{const}$ it follows\n",
+    "$$\n",
+    "\\frac{\\rho_\\text{GR}}{p_\\text{GR}}\\left(p_\\text{GR}\\right)'_\\text{S}c_{v,\\text{G}}T\n",
+    "+\n",
+    "\\rho_\\text{GR}c_{p,\\text{G}}Te=0.\n",
+    "$$\n",
+    "Density and temperature cancel out so the final equation can be written as \n",
+    "$$\n",
+    "\\frac{1}{p_\\text{GR}}\\left(p_\\text{GR}\\right)'_\\text{S}\n",
+    "=-\\kappa e\n",
+    "$$\n",
+    "with the adiabatic index $\\kappa = \\frac{c_v}{c_p}$. The equation can be integrated to find the solution for the pressure evolution\n",
+    "$$\n",
+    "p_\\text{GR}=p_{\\text{GR},0}\\exp\\left(-\\kappa e\\right)\n",
+    "$$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "154d4ff8",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# gas pressure\n",
+    "p_GR=p_0*np.exp(-kappa*e)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "c102a29d",
+   "metadata": {},
+   "source": [
+    "### Temperature evolution\n",
+    "\n",
+    "The temperature evolution follows _Poissons_ equations for isentropic processes\n",
+    "$$\n",
+    "T=T_0\\left(\\frac{p_\\text{GR}}{p_{\\text{GR},0}}\\right)^{\\frac{\\kappa-1}{\\kappa}}.\n",
+    "$$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "559c9c7d",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# temperature\n",
+    "T = p_GR*M/R/rho_GR"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "665069b3",
+   "metadata": {},
+   "source": [
+    "## Numerical solution"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "423f3c9b",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from ogs6py.ogs import OGS\n",
+    "import vtuIO"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "665f14ab",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import os\n",
+    "\n",
+    "out_dir = os.environ.get('OGS_TESTRUNNER_OUT_DIR', '_out')\n",
+    "if not os.path.exists(out_dir):\n",
+    "    os.makedirs(out_dir)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "id": "13724619",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "OGS finished with project file compression_gas.prj.\n",
+      "Execution took 0.33763813972473145 s\n"
+     ]
+    }
+   ],
+   "source": [
+    "# run OGS\n",
+    "cube_compression=OGS(PROJECT_FILE=\"compression_gas.prj\")\n",
+    "cube_compression.run_model(logfile=f\"{out_dir}/out.txt\", args=f\"-o {out_dir}\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "id": "41a0c6e4",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# read PVD file\n",
+    "pvdfile = vtuIO.PVDIO(f\"{out_dir}/result_compression_gas.pvd\", dim=2)\n",
+    "# get all timesteps\n",
+    "time = pvdfile.timesteps"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "id": "817fa9e0",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n",
+      "WARNING: Default interpolation backend changed to VTK. This might result in\n",
+      "slight changes of interpolated values if defaults are/were used.\n"
+     ]
+    }
+   ],
+   "source": [
+    "# read pressure, temperature and density from pvd result file\n",
+    "# at point\n",
+    "point={'pt0': (0.0,1.0,0.0)}\n",
+    "\n",
+    "pressure = pvdfile.read_time_series(\"gas_pressure_interpolated\", point)\n",
+    "p_GR_num=pressure['pt0']\n",
+    "\n",
+    "temperature = pvdfile.read_time_series(\"temperature_interpolated\", point)\n",
+    "T_num=temperature['pt0']\n",
+    "\n",
+    "density = pvdfile.read_time_series(\"gas_density\", point)\n",
+    "rho_GR_num=density['pt0']\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 84,
+   "id": "86c31eb5",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x288 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import matplotlib.pyplot as plt\n",
+    "plt.rcParams['figure.figsize'] = (10, 4)\n",
+    "fig1, (ax1, ax2) = plt.subplots(1, 2)\n",
+    "fig1.suptitle(r\"Density evolution, relative and absolute errors\")\n",
+    "\n",
+    "ax1.plot(time,rho_GR_num,'kx', label=r\"$\\rho_\\mathrm{GR}$ numerical\")\n",
+    "ax1.plot(t, rho_GR, 'b', label=r\"$\\rho_\\mathrm{GR}$ analytical\")\n",
+    "ax1.set_xlabel(r\"$t$ / s\")\n",
+    "ax1.set_ylabel(r\"$\\rho_\\mathrm{GR}$ / kgs$^{-1}$\")\n",
+    "ax1.legend()\n",
+    "ax1.grid(True)\n",
+    "#ax1.set_xlim(0,1)\n",
+    "#ax1.set_ylim(0,1)\n",
+    "\n",
+    "err_rho_abs = rho_GR - rho_GR_num\n",
+    "err_rho_rel = err_rho_abs / rho_GR\n",
+    "\n",
+    "ax2.plot(t,err_rho_abs,'b', label=r\"absolute\")\n",
+    "ax2.plot(t,err_rho_rel, 'g', label=r\"relative\")\n",
+    "\n",
+    "ax2.set_xlabel(r\"$t$ / s\")\n",
+    "ax2.set_ylabel(r\"$\\epsilon_\\mathrm{rel}$ / - and $\\epsilon_\\mathrm{abs}$ / kgs$^{-1}$\")\n",
+    "ax2.legend()\n",
+    "ax2.grid(True)\n",
+    "#ax2.set_xlim(0,1)\n",
+    "#ax2.set_ylim(-0.001,0.02)\n",
+    "\n",
+    "fig1.tight_layout()\n",
+    "plt.show()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 101,
+   "id": "5fd89e9c",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x288 with 3 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.rcParams['figure.figsize'] = (10, 4)\n",
+    "fig1, (ax1, ax2) = plt.subplots(1, 2)\n",
+    "fig1.suptitle(r\"Gas pressure evolution, relative and absolute errors\")\n",
+    "\n",
+    "\n",
+    "ax1.plot(time,p_GR_num,'kx', label=r\"$p_\\mathrm{GR}$ numerical\")\n",
+    "ax1.plot(t, p_GR, 'b', label=r\"$p_\\mathrm{GR}$ analytical\")\n",
+    "ax1.set_xlabel(r\"$t$ / s\")\n",
+    "ax1.set_ylabel(r\"$p_\\mathrm{GR}$ / Pa\")\n",
+    "ax1.legend()\n",
+    "ax1.grid(True)\n",
+    "#ax1.set_xlim(0,1)\n",
+    "#ax1.set_ylim(0,1)\n",
+    "\n",
+    "err_p_abs = p_GR - p_GR_num\n",
+    "err_p_rel = err_p_abs / p_GR\n",
+    "\n",
+    "lns1 = ax2.plot(t,err_p_abs,'b', label=r\"absolute\")\n",
+    "ax3 = ax2.twinx()\n",
+    "lns2 = ax3.plot(t,err_p_rel, 'g', label=r\"relative\")\n",
+    "\n",
+    "# added these three lines\n",
+    "lns = lns1+lns2\n",
+    "labs = [l.get_label() for l in lns]\n",
+    "ax2.legend(lns, labs, loc=0)\n",
+    "ax2.grid(True)\n",
+    "\n",
+    "ax2.set_xlabel(r\"$t$ / s\")\n",
+    "ax2.set_ylabel(r\"$\\epsilon_\\mathrm{abs}$ / Pa\")\n",
+    "ax3.set_ylabel(r\"$\\epsilon_\\mathrm{rel}$ / -\")\n",
+    "\n",
+    "#ax2.set_xlim(0,1)\n",
+    "ax2.set_ylim(-3500,200)\n",
+    "ax3.set_ylim(-0.0035,0.0002)\n",
+    "\n",
+    "fig1.tight_layout()\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 113,
+   "id": "4fd982ea",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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+      "text/plain": [
+       "<Figure size 720x288 with 3 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.rcParams['figure.figsize'] = (10, 4)\n",
+    "fig1, (ax1, ax2) = plt.subplots(1, 2)\n",
+    "fig1.suptitle(r\"Temperature evolution, relative and absolute errors\")\n",
+    "\n",
+    "\n",
+    "ax1.plot(time,T_num,'kx', label=r\"$T$ numerical\")\n",
+    "ax1.plot(t, T, 'b', label=r\"$T$ analytical\")\n",
+    "ax1.set_xlabel(r\"$t$ / s\")\n",
+    "ax1.set_ylabel(r\"$T$ / K\")\n",
+    "ax1.legend()\n",
+    "ax1.grid(True)\n",
+    "#ax1.set_xlim(0,1)\n",
+    "#ax1.set_ylim(0,1)\n",
+    "\n",
+    "err_T_abs = T - T_num\n",
+    "err_T_rel = err_T_abs / T\n",
+    "\n",
+    "\n",
+    "lns1 = ax2.plot(t,err_T_abs,'b', label=r\"absolute\")\n",
+    "ax3 = ax2.twinx()\n",
+    "lns2 = ax3.plot(t,err_T_rel, 'g', label=r\"relative\")\n",
+    "\n",
+    "# added these three lines\n",
+    "lns = lns1+lns2\n",
+    "labs = [l.get_label() for l in lns]\n",
+    "ax2.legend(lns, labs, loc=0)\n",
+    "ax2.grid(True)\n",
+    "\n",
+    "ax2.set_xlabel(r\"$t$ / s\")\n",
+    "ax2.set_ylabel(r\"$\\epsilon_\\mathrm{abs}$ / K\")\n",
+    "ax3.set_ylabel(r\"$\\epsilon_\\mathrm{rel}$ / -\")\n",
+    "\n",
+    "#ax2.set_xlim(0,1)\n",
+    "ax2.set_ylim(-0.8,0.05)\n",
+    "ax3.set_ylim(-0.002,0.000125)\n",
+    "\n",
+    "fig1.tight_layout()\n",
+    "plt.show()"
+   ]
+  }
+ ],
+ "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"
+  },
+  "vscode": {
+   "interpreter": {
+    "hash": "056391376959094a9ab8113ce61a138f55655762ea506a46655f1066d22ca74a"
+   }
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/Tests/Data/TH2M/TH/idealGasLaw/confined_gas_compression.png b/Tests/Data/TH2M/TH/idealGasLaw/confined_gas_compression.png
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literal 0
HcmV?d00001

-- 
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