Smoothing on unstructured grids
I have a variable distribution needs to be smoothed on unstructured grids. Is anybody aware of any good smoothing/filtering scheme?
Re: Smoothing on unstructured grids
This can be done by looping over all the cells or nodes in the grid (depending on your scheme) and accumulating a sum for the variable of interest at each cell/node. The value of the neighboring cell/node is added to the sum for the current cell. At the end, this sum for each cell/node is then divided by the number of neighbors for that cell/node.
1) Determine the number of adjacent cells/nodes and their cell/node number for each cell/node 2) Save the old values 3) Compute the sum of all adjacent cell values 4) The new value for the variable is (oldvalue + epsilon*sum)/(1 + epsilon*numberofneighbors)
A few passes on this procedure will smooth the variable. Epsilon is a smoothing factor, typically 0.5.
This approach is used for residual smoothing and is described further in AIAA papers by Neal Frink, early to mid-90's.
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