/ALE/GRID/LAPLACIAN

Block Format Keyword ALE grid smoothing using the Laplacian smoothing method for 2D and 3D elements.

Format

(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)	(10)
/ALE/GRID/LAPLACIAN
$λ$		`N`_iter

Field	Contents	SI Unit Example
$λ$	Scale factor for grid update. 1 Default = 1.0 (Real)
`N`_iter	Number of iterations. Default = 1 (Integer)

The grid is smoothed using the formula:(1)
$P_{i} \leftarrow P_{i} + λ Δ P_{i}$

Where, $λ \in [0, 1]$ is a user parameter with a default value of 1.00.(2)
$Δ P_{i} = \frac{1}{N_{c o n n e c t e d}} \sum_{j = 1}^{N_{c o n n e c t e d}} P_{j} - P_{i}$
Several iterations may be defined, but usually 1 iteration per cycle is enough (N_iter=1).

Figure 1.