diff --git a/tutorials/lagrangian/icoUncoupledKinematicParcelFoam/hopper/hopperEmptying/system/blockMeshDict b/tutorials/lagrangian/icoUncoupledKinematicParcelFoam/hopper/hopperEmptying/system/blockMeshDict
index d4807868420edbe2d753d30a9b86a7be75b9f7ee..e375b78ef3abd77a71b7c91d428ddf494a1c5919 100644
--- a/tutorials/lagrangian/icoUncoupledKinematicParcelFoam/hopper/hopperEmptying/system/blockMeshDict
+++ b/tutorials/lagrangian/icoUncoupledKinematicParcelFoam/hopper/hopperEmptying/system/blockMeshDict
@@ -14,26 +14,38 @@ FoamFile
 }
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
-scale   0.001;
+scale           0.001;
+
+depth           6.2;    // depth in the empty direction
+width           300;    // width of the wide part of the hopper
+gap             30;     // width of the gap
+totalHeight     500;    // height of the hopper including the angled part
+bottomAngle     30;     // angle of the bottom with respect to the ground
+
+minX            #eval{ 0.5*$width - 0.5*$gap };
+maxX            #eval{ 0.5*$width + 0.5*$gap };
+
+// height of the angled part based on the bottom angle
+htilted         #eval{ $minX*tan(degToRad($bottomAngle)) };
 
 vertices
 (
-    (0 77.9423 6.2)
-    (135 0 6.2)
-    (0 -77.9423 6.2)
-    (300 -77.9423 6.2)
-    (165 0 6.2)
-    (300 77.9423 6.2)
-    (300 500 6.2)
-    (0 500 6.2)
-    (0 77.9423 0)
-    (135 0 0)
-    (0 -77.9423 0)
-    (300 -77.9423 0)
-    (165 0 0)
-    (300 77.9423 0)
-    (300 500 0)
-    (0 500 0)
+    (0           $htilted        $depth)
+    ($minX       0               $depth)
+    (0          -$htilted        $depth)
+    ($width     -$htilted        $depth)
+    ($maxX       0               $depth)
+    ($width      $htilted        $depth)
+    ($width      $totalHeight    $depth)
+    (0           $totalHeight    $depth)
+    (0           $htilted             0)
+    ($minX       0                    0)
+    (0          -$htilted             0)
+    ($width     -$htilted             0)
+    ($maxX       0                    0)
+    ($width      $htilted             0)
+    ($width      $totalHeight         0)
+    (0           $totalHeight         0)
 );
 
 blocks
@@ -45,7 +57,6 @@ blocks
 
 boundary
 (
-
     walls
     {
         type wall;
diff --git a/tutorials/lagrangian/icoUncoupledKinematicParcelFoam/hopper/hopperInitialState/system/blockMeshDict b/tutorials/lagrangian/icoUncoupledKinematicParcelFoam/hopper/hopperInitialState/system/blockMeshDict
index bd70069f9123a49578150a88f200a1076a2d1c02..4e1ee000d95e4b57f31568a5da09ff37f5cd347f 100644
--- a/tutorials/lagrangian/icoUncoupledKinematicParcelFoam/hopper/hopperInitialState/system/blockMeshDict
+++ b/tutorials/lagrangian/icoUncoupledKinematicParcelFoam/hopper/hopperInitialState/system/blockMeshDict
@@ -14,22 +14,34 @@ FoamFile
 }
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
-scale   0.001;
+scale           0.001;
+
+depth           6.2;    // depth in the empty direction
+width           300;    // width of the wide part of the hopper
+gap             30;     // width of the gap
+totalHeight     500;    // height of the hopper including the angled part
+bottomAngle     30;     // angle of the bottom with respect to the ground
+
+minX            #eval{ 0.5*$width - 0.5*$gap };
+maxX            #eval{ 0.5*$width + 0.5*$gap };
+
+// height of the angled part based on the bottom angle
+htilted         #eval{ $minX*tan(degToRad($bottomAngle)) };
 
 vertices
 (
-    (0 77.9423 6.2)
-    (135 0 6.2)
-    (165 0 6.2)
-    (300 77.9423 6.2)
-    (300 500 6.2)
-    (0 500 6.2)
-    (0 77.9423 0)
-    (135 0 0)
-    (165 0 0)
-    (300 77.9423 0)
-    (300 500 0)
-    (0 500 0)
+    (0       $htilted        $depth)
+    ($minX   0               $depth)
+    ($maxX   0               $depth)
+    ($width  $htilted        $depth)
+    ($width  $totalHeight    $depth)
+    (0       $totalHeight    $depth)
+    (0       $htilted             0)
+    ($minX   0                    0)
+    ($maxX   0                    0)
+    ($width  $htilted             0)
+    ($width  $totalHeight         0)
+    (0       $totalHeight         0)
 );
 
 blocks