6. D modeling

6.1. Characteristics of modeling

Modeling COQUE_3D (TRIA7)

6.2. Characteristics of the mesh

Number of knots: 16120

Number of meshes and types: 5360 TRIA7

(The circle is cut into 20 segments)

6.3. Tested sizes and results

Tab. 5. Results of the D modeling

m=1	FF			SF			SS
	Aster	Ref	% diff	Aster	Ref	% diff	Aster	Ref	% diff
n=2	663,440	654,216	1.41	663,950	657,308	1.01	672,797	663,543	1.39
n=3	1881.30	1850,29	1.68	1882.05	1851,81	1.63	1888,12	1855,44	1.76
n=4	3621.85	3547.66	2.09	3622.55	3549,113	2.07	3631.32	3552.95	2.21
n=5	5889,97	5737.23	2.66	5890,50	5738.70	2.65	5902.73	5742,74	2.79
n=6	8701.24	8416.32	3,39	8701.61	8417.79	3,37	8717.54	8421.97	3,51

+——-+———+——-+———-+———+——-+———-++++ |**m=1**|**SC** |**CC** | | + +---------+-------+----------+---------+-------+----------++++ | |**Aster**|**Ref**|**%** diff|**Aster**|**Ref**|**%** diff|||| +——-+———+——-+———-+———+——-+———-++++ |**n=2**|681.14 |671,113|1.49 |695,289 |687,249|1.17 |||| +——-+———+——-+———-+———+——-+———-++++ |**n=3**|1889,25 |1856,45|1.77 |1890,77 |1858,30|1.75 |||| +——-+———+——-+———-+———+——-+———-++++ |**n=4**|3631.73 |3553,29|2.21 |3632.19 |3553,91|2.20 |||| +——-+———+——-+———-+———+——-+———-++++ |**n=5**|5902.93 |5742,87|2.79 |5903,15 |5743,21|2.78 |||| +——-+———+——-+———-+———+——-+———-++++ |**n=6**|8717.66 |8422.00|3,51 |8717.79 |8422,24|3,51 |||| +——-+———+——-+———-+———+——-+———-++++

6.4. notes

We couldn’t find the clean mode for \(n=1\) and \(m=1\).

Thanks to the symmetry of the pipe structure, we observe that the natural modes of \(n=2-6\) and \(m=1\) always appear in pairs.

The same behavior is observed in modeling B. The results in COQUE_3D are less accurate than those in DKT although there are more points in the mesh.

The same sensitivity of the results to the quality of the mesh with triangles is observed.