Difference between revisions of "Isotropic Mesh Generation"

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(→‎nacelle, rocket, and lv2b pg. 122-124)
(→‎nacelle, rocket, and lv2b pg. 122-124)
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{| class="wikitable"
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|+ '''(WORK IN PROGRESS)'''Evaluation results on unstructured grid generation. CDT3D is compared with state-of-the-art technology AFLR v 16.9.19 [132]. CDT3D's runs are performed with 1 and 12 hardware cores. AFLR is a sequential code. Table 18 lists the parameters of the evaluation. The sliver elements have a dihedral angle smaller than 2° or larger than 178°. Initial grid includes Delaunay tetrahedralization and Boundary Recovery. The I/O time is not included. The experiments were performed on a Dell workstation with Linux Ubuntu 12.10, a 12-core Intel Xeon X5690@3.47 GHz CPU, and 96 GB RAM.
+
|+ Evaluation results on unstructured grid generation. CDT3D is compared with state-of-the-art technology AFLR v16.9.19 [132]. CDT3D’s runs are performed with 1 and 12 hardware cores. AFLR is a sequential code. Table 17 lists the parameters of the evaluation. The sliver elements have a dihedral angle smaller than 2◦ or larger than 178◦. Initial grid includes Delaunay tetrahedralization and Boundary Recovery. The I/O time is not included. The experiments performed on a DELL workstation with Linux Ubuntu 12.10, 12 cores Intel(R) Xeon(R) CPU X5690@3.47 GHz, and 96 GB RAM.
 
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! colspan=2 | !! colspan=2 | %Slivers<br>(w/o improv.)<br>(x10<sup>-3</sup>) !! colspan=2 | #Tets<br>(w/ improv.)<br>(M) !! colspan=2 | Min/Max Angle<br>(w/ improv.)<br>(deg) !! colspan=4 | Time
+
! scope="col" | Case !! colspan=2 | Software !! colspan=2 | #Cores !! colspan=2 | %Slivers<br>(w/o improv.)<br>(x10<sup>-3</sup>) !! colspan=2 | #Tets<br>(w/ improv.)(M) !! colspan=2 | Min/Max Angle<br>(w/ improv.)<br>(deg) !! colspan=2 | Initial Grid<br>(sec) !! colspan=2 | Refinement<br>(min) !! colspan=2 | Improvement<br>(min) !! colspan=2 | Total<br>(min)
 
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|-
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!  Case !! colspan=2 | Software !! colspan=2 | #Cores !! colspan=2 | !! colspan=2 | 1261 !! colspan=2 | 3860 !! colspan=2 | 9644
+
!  Nacelle !! colspan=2 | CDT3D !! colspan=2 | 1 !! colspan=2 | 3.74 !! colspan=2 | 43.65 !! colspan=2 | 13.57°/153.44° !! colspan=2 | 1.36 !! colspan=2 | 20.01 !! colspan=2 | 14.30 !! colspan=2 | 34.33
 
|-
 
|-
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! #edges  !! colspan=2 | 8340 !! colspan=2 | 4158 !! colspan=2 | 8433 !! colspan=2 | 3921 !! colspan=2 | 11574 !! colspan=2 | 28926
+
!   !! colspan=2 | CDT3D !! colspan=2 | 12 !! colspan=2 | 3.70 !! colspan=2 | 42.85 !! colspan=2 | 12.06°/159.52° !! colspan=2 | 1.36 !! colspan=2 | 5.02 !! colspan=2 | 18.59 !! colspan=2 | 23.64
 
|-
 
|-
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! #faces  !! colspan=2 | 5560 !! colspan=2 | 2772 !! colspan=2 | 5622 !! colspan=2 | 2614 !! colspan=2 | 7716 !! colspan=2 | 19284 
+
!   !! colspan=2 | AFLR !! colspan=2 | 1 !! colspan=2 | 2.97 !! colspan=2 | 43.16 !! colspan=2 | 7.00°/164.86° !! colspan=2 | 5.63 !! colspan=2 | 22.59 !! colspan=2 | 6.40 !! colspan=2 | 29.09
 
|-
 
|-
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! scope="rowspan=2" | Software
+
! Rocket  !! colspan=2 | CDT3D !! colspan=2 | 1 !! colspan=2 | 2.96 !! colspan=2 | 118.41 !! colspan=2 | 9.39°/159.30° !! colspan=2 | 1.58 !! colspan=2 | 52.85 !! colspan=2 | 64.56 !! colspan=2 | 117.44
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| TetGen || CDT3D || TetGen || CDT3D || TetGen || CDT3D || TetGen || CDT3D || TetGen || CDT3D || TetGen || CDT3D 
 
 
|-
 
|-
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! scope="row" | #Stpts (boundary)
+
!   !! colspan=2 | CDT3D !! colspan=2 | 12 !! colspan=2 | 2.95 !! colspan=2 | 119.06 !! colspan=2 | 9.21°/158.33° !! colspan=2 | 1.58 !! colspan=2 | 14.51 !! colspan=2 | 68.23 !! colspan=2 | 82.76
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| 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || - || 0 || 0 || 0
 
 
|-
 
|-
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! scope="row" | #Stpts (volume)
+
!   !! colspan=2 | AFLR !! colspan=2 | 1 !! colspan=2 | 3.05 !! colspan=2 | 123.13 !! colspan=2 | 5.58°/164.75° !! colspan=2 | 6.76 !! colspan=2 | 131.89 !! colspan=2 | 25.41 !! colspan=2 | 157.42
−
| 7 || 2 || 0 || 0 || 8 || 5 || 59 || 28 || - || 0 || 0 || 0
 
 
|-
 
|-
−
! scope="row" | Time (sec)
+
! Lv2b  !! colspan=2 | CDT3D !! colspan=2 | 1 !! colspan=2 | 5.09 !! colspan=2 | 98.21 !! colspan=2 | 6.60°/159.68° !! colspan=2 | 5.45 !! colspan=2 | 41.57 !! colspan=2 | 94.63 !! colspan=2 | 136.29
−
| 0.18 || 0.29 || 0.08 || 0.11 || 0.11 || 0.09 || 0.18 || 2.6 || - || 0.36 || 0.02 || 0.20
+
|-
 +
!    !! colspan=2 | CDT3D !! colspan=2 | 12 !! colspan=2 | 4.69 !! colspan=2 | 113.99 !! colspan=2 | 8.24°/158.59° !! colspan=2 | 5.45 !! colspan=2 | 12.92 !! colspan=2 | 62.36 !! colspan=2 | 75.37
 +
|-
 +
!    !! colspan=2 | AFLR !! colspan=2 | 1 !! colspan=2 | 3.49 !! colspan=2 | 104.10 !! colspan=2 | 6.84°/164.88° !! colspan=2 | 16.97 !! colspan=2 | 98.24 !! colspan=2 | 18.51 !! colspan=2 | 117.03
 
|}
 
|}
  

Revision as of 12:44, 27 March 2018

Sphere and Two Blades with Merging Wakes and a Symmetry Plane

  • (a) Input Surface
  • (b) cdfm: 0; #tets: 57K
  • (c) cdfm: 0.2; #tets: 58K
  • (d) cdfm: 0.6; #tets: 129K
  • (e) cdfm: 0.8; #tets: 854K
  • (f) cdfm: 0.9; #tets: 7.68M

Cuts of tetrahedral grids of a sphere generated for varied cdfm ∈ [0, 1]. Blue corresponds to larger values of the distribution function. Red corresponds to smaller values
of the distribution function.





  • (a) Input Surface
  • (b) Distribution function on the boundary
  • (c) cdfm: 0; #tets: 806K
  • (d) cdfm: 0.1; #tets: 1.41M
  • (e) cdfm: 0.2; #tets: 4.97M
  • (f) cdfm: 0.3; #tets: 16.54M

Cuts of tetrahedral grids of two blades with merging wakes and a symmetry plane enclosed in an outer boundary generated for varied cdfm ∈ [0, 1] (shown in (c)-(f)).
The input surface is depicted in (a)-(b). The wake region is modeled as an embedded/ transparent delete surface.





  • Sphere histogram.png

Element angle distribution (in 5-deg increments) of grids of sphere, for varied cdfm.
The dihedral angle extrema and the element count are reported for each grid.



  • Blades histogram.png

Element angle distribution (in 5-deg increments) of grids of two blades with
merging wakes and a symmetry plane enclosed in an outer boundary, for varied cdfm.
The dihedral angle extrema and the element count are reported for each grid.

nacelle, rocket, and lv2b pg. 122-124

  • Nacelle6.png
  • Nacelle7.png
  • Nacelle8.png
Surface grid of an aircraft nacelle with engine inside a section of wind tunnel.
#points: 27184; #triangles: 54360




  • Rocket8.png
  • Rocket6.png
Surface grid of a rocket with engine, nozzle and transparent internal data surfaces inside flow field.
#points: 20228; #triangles: 40448




  • Lv2b2.png
  • Lv2b6.png
Surface grid of a launch vehicle with solid boosters inside flow field (Lv2b).
#points: 42020; #triangles: 84024




Parameters for unstructured grid generation. Additional parameters only for CDT3D: nthreads : 12 (parallel); nthreads : 1 (sequential); nbuckets : 240; frbtransf : 0.3; cbtransf : 1.0. Additional parameters only for AFLR: mrecrbf : 0.
Geometry Software cdfm cdfn mrecm nqual csmth msmth nsmth angdfs angqual mdbs
Nacelle CDT3D 0.291 0.7 2 3 0.5 1 2 165° 120° 0
AFLR 0.50 0.7 2 3 0.5 1 2 165° 120° 0
Rocket CDT3D 0.20 0.7 2 3 0.5 1 2 165° 120° 0
AFLR 0.60 0.7 2 3 0.5 1 2 165° 120° 0
Lv2b CDT3D 0.234 0.7 2 3 0.5 1 2 165° 120° 0
AFLR 0.30 0.7 2 3 0.5 1 2 165° 120° 0
Evaluation results on unstructured grid generation. CDT3D is compared with state-of-the-art technology AFLR v16.9.19 [132]. CDT3D’s runs are performed with 1 and 12 hardware cores. AFLR is a sequential code. Table 17 lists the parameters of the evaluation. The sliver elements have a dihedral angle smaller than 2◦ or larger than 178◦. Initial grid includes Delaunay tetrahedralization and Boundary Recovery. The I/O time is not included. The experiments performed on a DELL workstation with Linux Ubuntu 12.10, 12 cores Intel(R) Xeon(R) CPU X5690@3.47 GHz, and 96 GB RAM.
Case Software #Cores  %Slivers
(w/o improv.)
(x10-3) 		#Tets
(w/ improv.)(M) 		Min/Max Angle
(w/ improv.)
(deg) 		Initial Grid
(sec) 		Refinement
(min) 		Improvement
(min) 		Total
(min)
Nacelle CDT3D 1 3.74 43.65 13.57°/153.44° 1.36 20.01 14.30 34.33
CDT3D 12 3.70 42.85 12.06°/159.52° 1.36 5.02 18.59 23.64
AFLR 1 2.97 43.16 7.00°/164.86° 5.63 22.59 6.40 29.09
Rocket CDT3D 1 2.96 118.41 9.39°/159.30° 1.58 52.85 64.56 117.44
CDT3D 12 2.95 119.06 9.21°/158.33° 1.58 14.51 68.23 82.76
AFLR 1 3.05 123.13 5.58°/164.75° 6.76 131.89 25.41 157.42
Lv2b CDT3D 1 5.09 98.21 6.60°/159.68° 5.45 41.57 94.63 136.29
CDT3D 12 4.69 113.99 8.24°/158.59° 5.45 12.92 62.36 75.37
AFLR 1 3.49 104.10 6.84°/164.88° 16.97 98.24 18.51 117.03

more nacelle, rocket, and lv2b pg. 125-127

  • PLACEHOLDER
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  • PLACEHOLDER
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  • PLACEHOLDER
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  • PLACEHOLDER
  • PLACEHOLDER

aircraft pg. 140-142

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