[majidsvn7]

I had a problem with this axisymmetric geometry in blockMesh, I've used "movingCone" Tutorial from the openFOAM Tutorial folder and create the mesh alike in form this tutorial instruction.
After running blockMesh and checkMesh, I encounter with this error.I really need your help ...
the blockMesh file has been attached and the error is in below form.

"
--> FOAM Warning :
From function virtual void Foam::wedgePolyPatch::calcGeometry(Foam::PstreamBu ffers&)
in file meshes/polyMesh/polyPatches/constraint/wedge/wedgePolyPatch.C at line 70
Wedge patch 'front' is not planar.
At local face at (29.9502 4.462631 0.1948429) the normal (-3.334594e-16 -0.0436195 0.9990482) differs from the average normal (5.775252e-20 -0.04361943 0.9990482) by 5.931354e-15
Either correct the patch or split it into planar parts
--> FOAM Warning :
From function virtual void Foam::wedgePolyPatch::calcGeometry(Foam::PstreamBu ffers&)
in file meshes/polyMesh/polyPatches/constraint/wedge/wedgePolyPatch.C at line 70
Wedge patch 'front' is not planar.
At local face at (29.9502 4.475863 0.1954206) the normal (-8.614346e-16 -0.0436195 0.9990482) differs from the average normal (5.775252e-20 -0.04361943 0.9990482) by 5.931354e-15
Either correct the patch or split it into planar parts
--> FOAM Warning :
From function virtual void Foam::wedgePolyPatch::calcGeometry(Foam::PstreamBu ffers&)
in file meshes/polyMesh/polyPatches/constraint/wedge/wedgePolyPatch.C at line 70
Wedge patch 'front' is not planar.
At local face at (29.9502 4.489096 0.1959984) the normal (-4.730452e-16 -0.0436195 0.9990482) differs from the average normal (5.775252e-20 -0.04361943 0.9990482) by 5.931354e-15
Either correct the patch or split it into planar parts
"
checkMesh :
"
Checking geometry...
Overall domain bounding box (0 0 -0.1962872) (30 4.495712 0.1962872)
Mesh has 2 geometric (non-empty/wedge) directions (1 1 0)
Mesh has 3 solution (non-empty) directions (1 1 1)
Wedge back with angle 2.500002 degrees
***Wedge patch back not planar. Point (0 0.7939456 -0.03466441) is not in patch plane by 3.059446e-08 metre.
Boundary openness (1.555391e-19 -1.353222e-14 -2.299723e-13) OK.
Max cell openness = 2.073679e-16 OK.
Max aspect ratio = 12.04334 OK.
Minimum face area = 1.194516e-05. Maximum face area = 0.03910105. Face area magnitudes OK.
Min volume = 2.379515e-07. Max volume = 0.0005166389. Total volume = 23.42307. Cell volumes OK.
Mesh non-orthogonality Max: 0 average: 0
Non-orthogonality check OK.
Face pyramids OK.
Max skewness = 0.3307965 OK.
Coupled point location match (average 0) OK.

Failed 1 mesh checks.

End
"

[GerhardHolzinger]

It's most probably the precision of the points you provide in the file blockMeshDict.

Calculating the half-angle of the wedge, using python yields the following:

>>> import math
>>> a1=math.atan(0.1962872431/4.49571169971)
>>> a2=math.atan(0.1090484684/2.4976205539)
>>> a1
0.04363328263897132
>>> a2
0.04363323129548074
>>> a1/a2
1.0000011767061265
>>> math.degrees(a1)
2.5000029415145035
>>> math.degrees(a2)
2.4999999997491877
>>>

Also, the error message of OpenFOAM can be interpreted to point to insufficient precision:

At local face at (2.679282868525897 1.265350810419537 -0.05524640948741723) the normal (1.743214710593797e-16 -0.04361938736096225 -0.9990482215820488) differs from the average normal (-6.901918021236692e-20 -0.04361942583205133 -0.9990482199023509) by 1.482846079653545e-15

which translates to:

At the face X, the normal vector differs from the average normal vector (the normal vector averaged over all faces) by very little (note the *e-15)

[majidsvn7]

First of all, I need to thank you for paying attention to my work. By using your tips, The errors and warnings were resolved after applying the highest order of accuracy in defining the relevant points. I also used Python to calculate the half-angles of the wedge, but I often entered the points with less precision. Thank you again.