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July 9, 2012, 23:09 
BlockMesh Grading Ambiguity: How to Get Desired y1

#1 
Senior Member
Daniel
Join Date: Jul 2009
Location: Montreal, Canada
Posts: 156
Rep Power: 10 
Hello all,
I am having trouble getting blockMesh to produce the right y1 for my mesh. If I follow the equations in the User Guide 2.0.0 section 2.1.6.2: Desired y1: 0.0006996 Desired cell size of last cell: 0.15 l = 1.499364 % Length of block n = 100 % Number of cells Therefore: R = 0.15 / 0.0006996 = 214.408 % ratio of last to first cell size r = R^(1/(n1)) = 1.0557179202 % ratio of each cell to its neighbour Alpha = R (R > 1) Delta_x_s = 0.000370711 % Size of smallest cell Here is the issue: Delta_x_s is supposed to equal my desired y1. The problem is blockMesh grading uses a ratio, R, to define the grading. Therefore if the same factor is applied to both first and last cell, blockMesh will not know the difference: R is the same. The only way to adjust the y1 is then to change the number of cells, I suppose  but that leaves me no control over the number of cells. Is there any way to control both the number of cells and y1? Thanks, Dan 

December 31, 2012, 04:26 

#2 
Member
Robert Ong
Join Date: Aug 2010
Posts: 72
Rep Power: 9 
Hi Dan,
Have you figured this out, if you have then please share Happy new year! Robert 

January 2, 2013, 21:41 

#3 
Senior Member
Daniel
Join Date: Jul 2009
Location: Montreal, Canada
Posts: 156
Rep Power: 10 
Hello Robert,
Unfortunately I have not found a solution. Happy New Year, Dan 

January 4, 2013, 02:45 

#4  
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KarlJohan Nogenmyr
Join Date: Mar 2009
Location: Linköping
Posts: 275
Rep Power: 14 
Quote:
K 

January 5, 2013, 04:53 

#5 
Member
Robert Ong
Join Date: Aug 2010
Posts: 72
Rep Power: 9 
Hi Karl,
But that would increase the aspect ratio both and eventually will affect the convergence, wouldn't it? Isn't there anyway to control y+ without increasing number of cells and without getting a high enough aspect ratios? Sorry for the rather impetuous question. Regards, Robert 

January 5, 2013, 14:49 

#6 
Senior Member
KarlJohan Nogenmyr
Join Date: Mar 2009
Location: Linköping
Posts: 275
Rep Power: 14 
You mean that the cells next to the wall becomes kind of pancake cells? That is a de facto standard of achieving near wall resolution in more or less all types of meshes. This is generally also ok, as derivatives are largest in the wallnormal direction.
If you want isotropic cells to the wall (like in the case of wallresolved LES), you can use refineHexMesh on cells adjacent to the wall. Then you will get polyhedral cells in the interface between refined and nonrefined cells (hence breaking the constraints of pure hexahedral mesh). Of course this may lead to vast amount of cells. K 

June 4, 2014, 01:04 

#7 
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Join Date: May 2014
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I appear to be slightly late to the party, but it's very simple.
If you have a length L, and divide it by N elements, each element will have a size L/N. Applying an expansion R across the entire length L, means that the first element will have a size (L/N)/sqrt(R) and the last element will have a size (L/N)*sqrt(R). As proof, consider the ratio of the sizes of the first and last elements, you have: (L/N)*sqrt(R) / (L/N)/sqrt(R) = R Hence, if you want to prescribe your desired y1, you would do: y1 = (L/N)/sqrt(R) > R = L^2 / (N y1)^2 

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