Difference between revisions of "Anisotropic Mesh Generation"
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== Analytic Metric Functions == | == Analytic Metric Functions == | ||
===Linear metric=== | ===Linear metric=== | ||
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− | |[[File:Cube_qcircle_edges.png|350px | + | |[[File:Cube_qcircle_edges.png|350px]] |
− | |[[File:Cube_qcircle_qual.png|350px | + | |[[File:Cube_qcircle_qual.png|350px]] |
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!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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− | |[[File:Onera_initial mesh.png|500px | + | |[[File:Onera_initial mesh.png|500px]] |
− | |[[File:RefinedSurface_onera03.png|500px | + | |[[File:RefinedSurface_onera03.png|500px]] |
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− | | Initial surface mesh acquired from [https://github.com/UGAWG/solution-adapt-cases/blob/master/onera-m6/initial-grid/onera_curvAdapt.meshb] | + | | '''Initial surface mesh acquired from [https://github.com/UGAWG/solution-adapt-cases/blob/master/onera-m6/initial-grid/onera_curvAdapt.meshb]''' |
− | | Refined surface mesh using as a 30K complexity background mesh acquired from [https://github.com/UGAWG/solution-adapt-results/blob/master/onera-m6/sa-m084-a306-fun3d/onera03-metric.solb] | + | | '''Refined surface mesh using as a 30K complexity background mesh acquired from [https://github.com/UGAWG/solution-adapt-results/blob/master/onera-m6/sa-m084-a306-fun3d/onera03-metric.solb]''' |
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− | | [[File:Onera03_side.png|500px | + | | [[File:Onera03_side.png|500px]] |
− | | [[File:Onera03_cross_section.png|500px | + | | [[File:Onera03_cross_section.png|500px]] |
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− | | colspan="2" | cross cuts of the final mesh | + | | colspan="2" style="text-align: center;" | ''' cross cuts of the final mesh''' |
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− | |[[File:Histogram ratio onera03.png|500px | + | |[[File:Histogram ratio onera03.png|500px]] |
− | |[[File:Histogram qual onera03.png|500px | + | |[[File:Histogram qual onera03.png|500px]] |
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|} | |} | ||
==== 50K Complexity ==== | ==== 50K Complexity ==== | ||
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+ | Same input surface but with different metric complexity : | ||
+ | |||
+ | {| | ||
+ | | [[File:Onera05_side.png|500px]] | ||
+ | | [[File:Onera05_cross_section.png|500px]] | ||
+ | |- | ||
+ | | colspan="2" style="text-align: center;" | ''' cross cuts of the final mesh''' | ||
+ | |} | ||
+ | |||
+ | The background mesh is available [https://github.com/UGAWG/solution-adapt-results/blob/master/onera-m6/euler-m084-a306-fun3d/onera05-metric.solb here ] | ||
+ | |||
+ | The final mesh (available [http://cs.odu.edu/crtc/CDT3D/Anisotropic/onera05_CDT3D.7z here] ) |
Latest revision as of 14:56, 13 April 2018
Contents
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. |
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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. |
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Quarter of a Cylinder
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) |
Surface Mesh, cross-cut and detail of the generated volume mesh. |
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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. |
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Solution Based Adaptation
Onera M6
30K Complexity
Surface and background meshes were acquired from UGAWG repository
Initial surface mesh acquired from [1] | Refined surface mesh using as a 30K complexity background mesh acquired from [2] |
cross cuts of the final mesh |
The final mesh (available here ) was compared against the results from the 2018 Scitech paper Unstructured Grid Adaptation and Solver Technology for Turbulent Flows
available at https://arc.aiaa.org/doi/abs/10.2514/6.2018-1103 .
50K Complexity
Same input surface but with different metric complexity :
cross cuts of the final mesh |
The background mesh is available here
The final mesh (available here )