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Check(Mesh Quality)

 

Overview

IMG_C_ICON_DOT.gifThe relative size between connected elements and the shape and quality of a mesh have a larger effect on the analysis results than its absolute size. Hence, after creating a mesh, it is important to check and modify the quality of the mesh, especially for 3D elements. Input the reference value to color the elements that do not meet this standard.

 

Methodology

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Aspect Ratio

Length ratio between the width and length, or the ratio of the longest side to the shortest side of a 2D element. For example, a square has the same width and length and therefore has an aspect ratio of 1. As a shape digresses from the square shape, the aspect ratio becomes smaller. A value closer to 1 is ideal. This ratio has significant effect on the analysis result and if the value is very small, it may be hard to obtain normal analysis results.

 

Skew Angle

How much the shape digresses from the rectangular shape (90 degrees), measured in angles. A quadrilateral forms a 90 degree angle, the inclination angle is 0 degrees and this value increases as the shape strays from the quadrilateral. For a solid element, the inclination angle is checked for each face and the smallest value is chosen as the inclination angle. A value closer to 0 is better.

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Warpage

Evaluates how much the shape is out of the plane. For a quadrilateral 2D element with all nodes on the same plane, the value is 0. The value increases as the shape strays from the plane. For a solid element, the warpage is checked for each rectangular face and the smallest value is chosen as the warpage value. A value closer to 0 is better. This item has significant effect on the analysis result and if the value is very large, it may be hard to obtain normal analysis results.

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Taper

Geometrically calculates how much the quadrilateral digresses. It is not applied to triangular elements. A quadrilateral has a value of 1, and the value decreases as it digresses (becomes closer to a triangular shape) from its rectangular shape. For a solid element, the taper value is checked for each face and the smallest value is chosen as the taper value. A value closer to 1 is better.

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Jacobian Ratio

The Jacobian determinant is calculated at each Gauss integral point on the mesh the Jacobian ratio is the ratio between the largest and smallest Jacobian determinant value. For 2D elements, the Jacobian determinant is calculated on the element projected onto a plane. For solid elements, the Jacobian determinant is calculated directly. If the quadrilateral element is not convex, the negative value is outputted and the analysis is not performed properly. A higher value is better.

 

Twist(Solid)

Value that represents the twist between 2 opposing faces in a solid.

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Element length

Check the edge length of an element. Here, the minimum and maximum values can be set.

 

Mesh set

After the quality check has finished, press ‘Send’ to define a different mesh set. The user can specify the name of the mesh set.

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