Posted by : Unknown Tuesday, 31 December 2013


Mesh quality


• For the same cell count, hexahedral meshes will give more
Accurate solutions, especially if the grid lines are aligned with the
Flow.
• The mesh density should be high enough to capture all relevant
Flow features.
• The mesh adjacent to the wall should be fine enough to resolve
The boundary layer flow. In boundary layers, quad, hex, and
Prism/wedge cells are preferred over tri’s, tets, or pyramids.
• Three measures of quality:
– Skewness.
– Smoothness (change in size).
– Aspect ratio.

Skewness

Two methods to define skewness are:
·        Based on equilateral volume :

o   Skewness = (optimal cell size – actual cell size) / (optimal cell size)


o   Applied to only tri and tet meshing.
o   This method on meshing follows Delaunay triangulation theorem.
o   Default method used in ansys for tri and tet meshing.



·        Based on the deviation from a normalized equilateral angle
o   Skewness = Max [ {(θmax -90)/ 90}, {(90 – θmin )/90}]


o   Applies to all cell and face shapes, used generally for quads.
o   Used for prisms, pyramids, etc.

Smoothness and aspect ratio
  • Change is mesh size should be gradual or smooth


  • Aspect ratio is the ratio of longest edge length to the shortest edge length. It is equal to 1 for an equilateral triangle or square.

Checking For Quality



  • A poor quality grid will cause inaccurate solutions and/or slow convergence.
  • Minimize equiangle skew.
  • Hex and quad cells: skewness should not exceed 0.85.
  • Tri’s: skewness should not exceed 0.85.
  • Tets: skewness should not exceed 0.9.
  • Minimize local variations in cell size.
  • If such violations exist: delete mesh, perform necessary decomposition           and/or pre-mesh edges and faces ,and remesh.
  • More cells can give higher accuracy. The downside is increased memory and      CPU time.   
  • Use a non-uniform grid to cluster cells only where they are needed. For eg        while doing airfoil analysis accumulate the grid at the leading and trailing        edges and away from the boundary





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