diff --git a/functions/pressure_propagation.ipynb b/functions/pressure_propagation.ipynb
new file mode 100644
index 0000000..deb7cbf
--- /dev/null
+++ b/functions/pressure_propagation.ipynb
@@ -0,0 +1,92 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np \n",
+    "from pressure_propagation import pressure_update"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Ausbreitungsgeschwindigkeit\n",
+    "u = 1 # m/s\n",
+    "# Rohrlänge\n",
+    "l = 100 # m\n",
+    "# maximal simulierte Zeitspanne\n",
+    "t_max = 60 # s\n",
+    "\n",
+    "# Zeitschritt\n",
+    "delta_t = 0.1 # s\n",
+    "# Diskretisierungslänge = Ausbreitungsgeschwindigkeit*Zeitschritt\n",
+    "delta_x = u*delta_t\n",
+    "\n",
+    "# Anzahl der örtlichen Diskretisierungsintervalle\n",
+    "n_x = int(np.floor(l/delta_x))\n",
+    "# Anzahl der zeitlichen Diskretisierungsintervalle\n",
+    "n_t = int(np.floor(t_max/delta_t))\n",
+    "\n",
+    "\n",
+    "#initiale Druckverteilung (excl hydrostatischer Drucks)\n",
+    "p_0 = np.ones([n_x,1])\n",
+    "# np.array das den Verlauf der Druckverteilungen speichert\n",
+    "pressure_profiles = np.tile(p_0,[1,n_t])\n",
+    "\n",
+    "pressure_profiles[-1,0] = 2 # for testing\n",
+    "# loop\n",
+    "for i in range(1,n_t): # start at 1 because i reference i-1 in the loop over the control-volumina\n",
+    "    #get boundary pressure from outflux-change and hydrostatic pressure in the pool\n",
+    "    pressure_profiles[-1,i] = 2 # for testing\n",
+    "    \n",
+    "    for j in range(n_x-2,1,-1): # leave out the first and last control-volume because their pressure\n",
+    "        # is set by the boundary conditions\n",
+    "        p = pressure_profiles[j,i-1]\n",
+    "        p1 = pressure_profiles[j+1,i-1]\n",
+    "        p2 = pressure_profiles[j-1,i-1]\n",
+    "        pressure_profiles[j,i] = pressure_update(p,p1,p2)\n",
+    "        \n",
+    "\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "interpreter": {
+   "hash": "84fb123bdc47ab647d3782661abcbe80fbb79236dd2f8adf4cef30e8755eb2cd"
+  },
+  "kernelspec": {
+   "display_name": "Python 3.8.13 ('Georg_DT_Slot3')",
+   "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": "3.8.13"
+  },
+  "orig_nbformat": 4
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/functions/pressure_propagation.py b/functions/pressure_propagation.py
new file mode 100644
index 0000000..9122ec7
--- /dev/null
+++ b/functions/pressure_propagation.py
@@ -0,0 +1,2 @@
+def pressure_update(p,p1=-1,p2=-1):
+    return 1/4*(2*p+p1+p2)