Difference between revisions of "Anisotropic Mesh Generation"
From crtc.cs.odu.edu
(→Analytic Metric Functions) |
(→CDT3D) |
||
| Line 1: | Line 1: | ||
==AFLR== | ==AFLR== | ||
| − | + | =CDT3D= | |
| − | + | == Analytic Metric Functions == | |
| − | + | ===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| | ||
| Line 17: | Line 19: | ||
{| | {| | ||
|- | |- | ||
| − | |[[File: | + | |[[File:Cube_qcircle_edges.png|350px|link=]] |
| − | |[[File: | + | |[[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]. | ||
| Line 24: | Line 26: | ||
|} | |} | ||
| − | + | === Quarter of a Cylinder === | |
| + | 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}$ | ||
| + | |||
| + | {| | ||
| + | |- | ||
| + | |[[File:Cube_qcircle1.png|300px|link=]] | ||
| + | |[[File:Cube_qcircle2.png|300px|link=]] | ||
| + | |[[File:Cube_qcircle_detail.png|300px|link=]] | ||
| + | |- | ||
| + | !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
Contents
AFLR
CDT3D
Analytic Metric Functions
Linear metric
Metric given by 
where hx =0.1, hy=0.1, h0 = 0.001, hz = h0 + 2(0.1-h0)|z-0.6|
|
|
|
| Surface Mesh, cross-cut and detail of the generated volume mesh. | ||
|---|---|---|
|
|
| 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 
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}$
|
|
|
| Surface Mesh, cross-cut and detail of the generated volume mesh. | ||
|---|---|---|
|
|
| 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. | |
|---|---|
