Difference between revisions of "Anisotropic Mesh Generation"

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(Analytic Metric Functions)
(CDT3D)
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==AFLR==
 
==AFLR==
==CDT3D==
+
=CDT3D=
  
=== Analytic Metric Functions ===
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== Analytic Metric Functions ==
* Linear metric given by  [[File:Linear metric.png| 300px]]
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===Linear metric===
 +
 
 +
Metric given by  [[File:Linear metric.png| 300px|link=]]
 
where h<sub>x</sub> =0.1, h<sub>y</sub>=0.1, h<sub>0</sub> = 0.001, h<sub>z</sub> = h<sub>0</sub> + 2(0.1-h<sub>0</sub>)|z-0.6|
 
where h<sub>x</sub> =0.1, h<sub>y</sub>=0.1, h<sub>0</sub> = 0.001, h<sub>z</sub> = h<sub>0</sub> + 2(0.1-h<sub>0</sub>)|z-0.6|
  
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{|
 
{|
 
|-
 
|-
|[[File:Cube_linear_edges.png|350px]]
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|[[File:Cube_qcircle_edges.png|350px|link=]]
|[[File:Cube_linear_qual.png|350px]]
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|[[File:Cube_qcircle_qual.png|350px|link=]]
 
|-
 
|-
 
!colspan="2"| Quality statistics in the metric space for generated volume mesh.94 % of the edges has length between [0.5,1.5].  
 
!colspan="2"| Quality statistics in the metric space for generated volume mesh.94 % of the edges has length between [0.5,1.5].  
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|}
 
|}
  
*
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=== Quarter of a Cylinder ===
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Metric given by [[File:Qcircle_metric.png| 700px]]
 +
where h<sub>x</sub> = min(0.002  5^a, h<sub>max</sub>}), h<sub>y</sub> = min(0.05 \cdot 2^a, h_<sub>max</sub>), h<sub>z<\sub>= h<sub>max</sub>$,
 +
h<sub>max</sub> = 0.1, θ = arctan(x,y), $ = 10 \cdot | 0.75 - \sqrt{x^2 + y^2}$
 +
 
 +
{|
 +
|-
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|[[File:Cube_qcircle1.png|300px|link=]]
 +
|[[File:Cube_qcircle2.png|300px|link=]]
 +
|[[File:Cube_qcircle_detail.png|300px|link=]]
 +
|-
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!colspan="2"| Surface Mesh, cross-cut and detail of the generated volume mesh.
 +
|}
 +
 
 +
{|
 +
|-
 +
|[[File:Cube_linear_edges.png|350px|link=]]
 +
|[[File:Cube_linear_qual.png|350px|link=]]
 +
|-
 +
!colspan="2"| Quality statistics in the metric space for generated volume mesh.94 % of the edges has length between [0.5,1.5].
 +
For the mean ratio 96%,of the elements have quality higher that 0.7.
 +
|}

Revision as of 05:25, 27 March 2018

AFLR

CDT3D

Analytic Metric Functions

Linear metric

Metric given by Linear metric.png where hx =0.1, hy=0.1, h0 = 0.001, hz = h0 + 2(0.1-h0)|z-0.6|

Cube linear.png Cube linear2.png Cube linear detail.png
Surface Mesh, cross-cut and detail of the generated volume mesh.
Cube qcircle edges.png Cube qcircle qual.png
Quality statistics in the metric space for generated volume mesh.94 % of the edges has length between [0.5,1.5].

For the mean ratio 96%,of the elements have quality higher that 0.7.

Quarter of a Cylinder

Metric given by Qcircle metric.png

where hx = min(0.002  5^a, hmax}), hy = min(0.05 \cdot 2^a, h_max), hz<\sub>= hmax$,

hmax = 0.1, θ = arctan(x,y), $ = 10 \cdot | 0.75 - \sqrt{x^2 + y^2}$

Cube qcircle1.png Cube qcircle2.png Cube qcircle detail.png
Surface Mesh, cross-cut and detail of the generated volume mesh.
Cube linear edges.png Cube linear qual.png
Quality statistics in the metric space for generated volume mesh.94 % of the edges has length between [0.5,1.5].

For the mean ratio 96%,of the elements have quality higher that 0.7.