Translating NACA 0012 airfoil
The motion of the grid is carried out resorting to edge swapping, node insertion, node deletion and grid deformation.
Remarkably enough, also
grid adaption, i.e., node insertion and
deletion, can be interpreted as the growth of a finite volume from a
point-wise (null) area into a finite area and vice-versa, respectively.
This idea has been already implemented and successfully tested in
two-dimensions with DCODE.
Another comparison between the two adaptation schemes is illustrated in
Figure
7.
A NACA0012 airfoil translates inside a fixed domain for 65
chords. The relative Mach number is
M=0.55.
As mentioned above simple node insertion/deletion
techniques are required to control the grid spacing and, referring to
Figure
5,
aimed to
maintain the initial grid spacing [
4,
5]. The
reported example shows a
significant gain in terms of overall grid quality with respect to the
swapping-deformation case; moreover the initial nodes spacing is very
well preserved.
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Figure 7.
Comparison between the final grids obtained with the mesh deformation
plus edge swapping method (top) and the complete adaptation scheme
(bottom).
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Click on the image to enlarge
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The same example is also reported in Movie
5 and
6,
where a comparison is performed between meshes obtained resorting to
deformation and edge-swapping with the ones obtained applying also node
insertions and deletions. The loss of quality of the mesh in terms of
spacing distribution, due to a lack of elements close to the airfoil
node and far behind the body, is avoided when the complete adaptation
procedure is carried out.
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Movie 5. NACA0012
translation, comparison between the two adaptation schemes.
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Click here to download
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Movie 6. NACA0012
translation, comparison between the two adaptation schemes, close-up. |
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Click here to download |
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