diff --git a/examples/PyMPDATA_examples/trixi_comparison/advection_comparison.ipynb b/examples/PyMPDATA_examples/trixi_comparison/advection_comparison.ipynb
index 008dfac5..23344c75 100644
--- a/examples/PyMPDATA_examples/trixi_comparison/advection_comparison.ipynb
+++ b/examples/PyMPDATA_examples/trixi_comparison/advection_comparison.ipynb
@@ -46,8 +46,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:47:15.271395Z",
-     "start_time": "2024-10-10T19:47:15.265003Z"
+     "end_time": "2024-10-15T11:12:13.173162Z",
+     "start_time": "2024-10-15T11:12:13.167042Z"
     }
    },
    "cell_type": "code",
@@ -70,6 +70,7 @@
     "assert SETUP[\"nx\"] == SETUP[\"ny\"]\n",
     "\n",
     "import json\n",
+    "import subprocess\n",
     "with open('setup.json', 'w', encoding='UTF-8') as f:\n",
     "    json.dump(SETUP, f)"
    ],
@@ -88,8 +89,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:47:15.294977Z",
-     "start_time": "2024-10-10T19:47:15.287908Z"
+     "end_time": "2024-10-15T11:12:13.223789Z",
+     "start_time": "2024-10-15T11:12:13.218476Z"
     }
    },
    "cell_type": "code",
@@ -153,14 +154,25 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:47:51.832380Z",
-     "start_time": "2024-10-10T19:47:15.295974Z"
+     "end_time": "2024-10-15T11:13:12.407588Z",
+     "start_time": "2024-10-15T11:12:13.237811Z"
     }
    },
    "cell_type": "code",
-   "source": "_ = !julia trixi.jl ",
+   "source": "subprocess.run([\"julia\", \"trixi.jl\"], check=True)",
    "id": "56fb8302adfc01e7",
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "CompletedProcess(args=['julia', 'trixi.jl'], returncode=0)"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "execution_count": 3
   },
   {
@@ -172,8 +184,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:47:52.827392Z",
-     "start_time": "2024-10-10T19:47:51.833392Z"
+     "end_time": "2024-10-15T11:13:14.552172Z",
+     "start_time": "2024-10-15T11:13:12.408591Z"
     }
    },
    "cell_type": "code",
@@ -193,8 +205,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:47:52.832399Z",
-     "start_time": "2024-10-10T19:47:52.827392Z"
+     "end_time": "2024-10-15T11:13:14.557254Z",
+     "start_time": "2024-10-15T11:13:14.553174Z"
     }
    },
    "cell_type": "code",
@@ -227,8 +239,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:47:52.865693Z",
-     "start_time": "2024-10-10T19:47:52.834406Z"
+     "end_time": "2024-10-15T11:13:14.568856Z",
+     "start_time": "2024-10-15T11:13:14.558259Z"
     }
    },
    "cell_type": "code",
@@ -243,8 +255,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:47:52.880842Z",
-     "start_time": "2024-10-10T19:47:52.866692Z"
+     "end_time": "2024-10-15T11:13:14.585089Z",
+     "start_time": "2024-10-15T11:13:14.569861Z"
     }
    },
    "cell_type": "code",
@@ -267,8 +279,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:47:52.890215Z",
-     "start_time": "2024-10-10T19:47:52.881847Z"
+     "end_time": "2024-10-15T11:13:14.594072Z",
+     "start_time": "2024-10-15T11:13:14.585089Z"
     }
    },
    "cell_type": "code",
@@ -289,8 +301,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:47:53.403813Z",
-     "start_time": "2024-10-10T19:47:52.891218Z"
+     "end_time": "2024-10-15T11:13:15.952188Z",
+     "start_time": "2024-10-15T11:13:14.595068Z"
     }
    },
    "cell_type": "code",
@@ -305,8 +317,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:47:53.407866Z",
-     "start_time": "2024-10-10T19:47:53.404814Z"
+     "end_time": "2024-10-15T11:13:15.956173Z",
+     "start_time": "2024-10-15T11:13:15.952188Z"
     }
    },
    "cell_type": "code",
@@ -321,8 +333,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:48:22.678648Z",
-     "start_time": "2024-10-10T19:47:53.408873Z"
+     "end_time": "2024-10-15T11:13:45.581913Z",
+     "start_time": "2024-10-15T11:13:15.957178Z"
     }
    },
    "cell_type": "code",
@@ -334,8 +346,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:48:22.684649Z",
-     "start_time": "2024-10-10T19:48:22.680648Z"
+     "end_time": "2024-10-15T11:13:45.586629Z",
+     "start_time": "2024-10-15T11:13:45.583902Z"
     }
    },
    "cell_type": "code",
@@ -347,8 +359,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:48:23.373135Z",
-     "start_time": "2024-10-10T19:48:22.685648Z"
+     "end_time": "2024-10-15T11:13:46.387282Z",
+     "start_time": "2024-10-15T11:13:45.587623Z"
     }
    },
    "cell_type": "code",
@@ -367,7 +379,7 @@
       "text/plain": [
        "<Figure size 640x480 with 2 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 xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"374.34235pt\" height=\"325.986375pt\" viewBox=\"0 0 374.34235 325.986375\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n <metadata>\n  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" 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>2024-10-10T21:48:23.325627</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.9.1, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: 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      },
      "metadata": {},
      "output_type": "display_data"
@@ -375,12 +387,12 @@
     {
      "data": {
       "text/plain": [
-       "HTML(value=\"<a href='.\\\\tmpc4rgpf1d.pdf' target='_blank'>.\\\\tmpc4rgpf1d.pdf</a><br>\")"
+       "HTML(value=\"<a href='.\\\\tmpe87tyq36.pdf' target='_blank'>.\\\\tmpe87tyq36.pdf</a><br>\")"
       ],
       "application/vnd.jupyter.widget-view+json": {
        "version_major": 2,
        "version_minor": 0,
-       "model_id": "c711659293f243e3a9bb6ad0b7d54ccf"
+       "model_id": "675ad169418947df8509614efdb3edce"
       }
      },
      "metadata": {},
@@ -392,8 +404,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:48:23.377610Z",
-     "start_time": "2024-10-10T19:48:23.374146Z"
+     "end_time": "2024-10-15T11:13:46.390952Z",
+     "start_time": "2024-10-15T11:13:46.387282Z"
     }
    },
    "cell_type": "code",
@@ -405,8 +417,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:48:23.389269Z",
-     "start_time": "2024-10-10T19:48:23.378611Z"
+     "end_time": "2024-10-15T11:13:46.403148Z",
+     "start_time": "2024-10-15T11:13:46.391956Z"
     }
    },
    "cell_type": "code",
@@ -430,21 +442,32 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:48:34.398591Z",
-     "start_time": "2024-10-10T19:48:23.390272Z"
+     "end_time": "2024-10-15T11:13:57.760570Z",
+     "start_time": "2024-10-15T11:13:46.403148Z"
     }
    },
    "cell_type": "code",
-   "source": "_ = !julia to_vtk.jl {solution_filename}",
+   "source": "subprocess.run([\"julia\", \"to_vtk.jl\", solution_filename], check=True)",
    "id": "960cee65b6c01544",
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "CompletedProcess(args=['julia', 'to_vtk.jl', 'solution_000030.h5'], returncode=0)"
+      ]
+     },
+     "execution_count": 16,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "execution_count": 16
   },
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:48:34.407960Z",
-     "start_time": "2024-10-10T19:48:34.399598Z"
+     "end_time": "2024-10-15T11:13:57.770744Z",
+     "start_time": "2024-10-15T11:13:57.761587Z"
     }
    },
    "cell_type": "code",
@@ -465,16 +488,14 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:48:34.421994Z",
-     "start_time": "2024-10-10T19:48:34.408962Z"
+     "end_time": "2024-10-15T11:13:57.784545Z",
+     "start_time": "2024-10-15T11:13:57.771744Z"
     }
    },
    "cell_type": "code",
    "source": [
     "trixi_output = np.zeros(pympdata_result_state.shape)\n",
-    "print(trixi_points.shape)\n",
     "for i in range(trixi_points.shape[0]):\n",
-    "    print(mesh.point_data.keys())\n",
     "    trixi_output[trixi_points[i][0], trixi_points[i][1]] = mesh.point_data['scalar'][i][0]"
    ],
    "id": "58595cff705f196c",
@@ -484,8 +505,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-10-10T19:48:34.699704Z",
-     "start_time": "2024-10-10T19:48:34.422990Z"
+     "end_time": "2024-10-15T11:13:58.058042Z",
+     "start_time": "2024-10-15T11:13:57.785550Z"
     }
    },
    "cell_type": "code",
@@ -504,7 +525,7 @@
       "text/plain": [
        "<Figure size 640x480 with 2 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 xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"374.34235pt\" height=\"325.986375pt\" viewBox=\"0 0 374.34235 325.986375\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n <metadata>\n  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" 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>2024-10-10T21:48:34.652044</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.9.1, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: 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