Aspect Ratio

The criterion Aspect Ratio is calculated differently for different element types:

  • Quad

    The vectors for each of the 4 quad nodes span a parallelogram. The area of each parallelogram is divided by the length of each component vector squared, to give 8 possible aspect ratios. The minimum ratio is taken as the aspect ratio for the quad element.

    Figure 416: Aspect Ratio for Quad Elements

    Aspect Ratio for Quad Elements

  • Hexa

    The aspect ratio is defined by the size of the minimum element edge divided by the size of the maximum element edge. Quadratic hexahedras will also be considered.

  • Tri

    Ansys ICEM CFD calculates the ratio between the area of triangle and the maximum edge length for each element. The values are scaled, so that an aspect ratio of 1 corresponds to a perfectly regular element, while an aspect ratio of 0 indicates that the element has zero area.

    Aspect Ratio = (area/max edge length)actual / (area/max edge length)ideal

    Figure 417: Aspect Ratio of Tri Elements–Examples

    Aspect Ratio of Tri Elements–Examples

  • Tetra

    Ansys ICEM CFD calculates the ratio between the volume of the element and the radius of its circumscribed sphere power three. The values are scaled, so that an aspect ratio of 1 corresponds to a perfectly regular element, while an aspect ratio of 0 indicates that the element has zero volume.

    Aspect Ratio = (volume/(circumscribed radius)3)actual / (volume/(circumscribed radius)3)ideal

    Figure 418: Aspect Ratio of Tetra Elements–Examples

    Aspect Ratio of Tetra Elements–Examples