Difference between revisions of "Anisotropic Mesh Generation"

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(Quarter of a Cylinder)
(Quarter of a Cylinder)
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=== Quarter of a Cylinder ===
 
=== Quarter of a Cylinder ===
 
Metric given by [[File:Qcircle_metric.png| 700px]]
 
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>$,
+
  where h<sub>x</sub> = min(0.002  5^a, h<sub>max</sub>),  
h<sub>max</sub> = 0.1, θ = arctan(x,y), $ = 10 \cdot | 0.75 - \sqrt{x^2 + y^2}$
+
h<sub>y</sub> = min(0.05 &middot; 2<sup>a</sup>, h<sub>max</sub>),  
 
+
h<sub>z</sub>= h<sub>max</sub>,
 +
h<sub>max</sub> = 0.1,  
 +
θ = arctan(x,y),  
 +
a = 10 &middot; | 0.75 -
 +
<!-- code for square root -->
 +
&radic;<span style="text-decoration:overline">
 +
(<i>x</i><span style="font-size: 10px;vertical-align:+25%;">2</span>+
 +
<i>y</i><span style="font-size: 10px;vertical-align:+25%;">2</span>)&nbsp;</span>
 +
<!-- code for square root -->
 +
|
 
{|
 
{|
 
|-
 
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Revision as of 05:34, 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 · 2a, hmax), hz= hmax, hmax = 0.1, θ = arctan(x,y), a = 10 · | 0.75 - √ (x2+ y2 |

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.

91 % of the edges has length between [0.5,1.5]. For the mean ratio 79% of the elements have quality higher that 0.7.