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Old   June 17, 2006, 10:16
Default Skewness angle
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Hello everybody,

what is the commen definition of a skewness angle of a tetrahedron? I looked for this for hours and can't find an answer.

Thanks for reading, Chris
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Old   June 20, 2006, 21:28
Default Re: Skewness angle
khai ching
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For 2D Tria, the property that might grasp our interest is the skewness angle, defined by HM:

skew in Trias is calculated by finding the min. angle between the vector from each point (of the Tria) to the opposing mid-side and the vector between the two adjacent mid-sides at each point of the Tria.

For 3D Tetra, volumetric skew is important, defined by HM: A sphere through the four nodes of the tetra is created. That sphere defines an ideally shaped equilateral tetra, in which its volume is defined as: 8r^3/(9*sqrt(3)). The actual volume of the tetra element is then determined.

The Tetra's volumetric skew is then written as: Volumetric skew =( Videal-Vactual)/Videal

Hope that helps.

-khai ching-

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Old   June 21, 2006, 08:09
Default Re: Skewness angle
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Ok, so I guess the term "Skewness angle" does not exist. I am examining a volumetric grid in Gridgen with that "Skewness - min ang"-Function and wonder which angles are meant. The overall average of those angles is around 45.
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Old   June 21, 2006, 08:15
Default Re: Skewness angle
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probably the angle between two adjacent edges, or the angle between an edge and the two faces it is not part of ...

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Old   June 24, 2006, 14:36
Default Re: Skewness angle
John Chawner
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Chris, I suggest that you contact a technical support engineer at and they will be able to tell you exactly how that skewness measure is calculated.
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