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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