Toolbox::heat - Use Case Study

1. Environment

prefix

heat

keyword

heat

root repository

/data/cemosis/benchmark/toolboxes/heat/ThermalBridgesENISO10211/Case3/23cd5463/ThermalBridgesENISO10211/

number of processus

128

2. Physics

2.1. heat

2.1.1. default

modeling

heat

type

heat

name

default

Equation

- div( k grad T ) = 0

3. Physics2

time mode

Stationary

4. Materials Properties

number of materials

5

4.1. Material : External_wall

Name	Expression	Symbol	Shape
density	2000	materials_External_wall_rho	scalar
specific-heat-capacity	1000	materials_External_wall_Cp	scalar
thermal-conductivity	1	materials_External_wall_k	scalar

Name

Expression

Symbol

Shape

Components

density

2000

materials_External_wall_rho

scalar

specific-heat-capacity

1000

materials_External_wall_Cp

scalar

thermal-conductivity

1

materials_External_wall_k

scalar

4.2. Material : Floor

Name	Expression	Symbol	Shape
density	1000	materials_Floor_rho	scalar
specific-heat-capacity	800	materials_Floor_Cp	scalar
thermal-conductivity	1	materials_Floor_k	scalar

Name

Expression

Symbol

Shape

Components

density

1000

materials_Floor_rho

scalar

specific-heat-capacity

800

materials_Floor_Cp

scalar

thermal-conductivity

1

materials_Floor_k

scalar

4.3. Material : Horizontal_structure

Name	Expression	Symbol	Shape
density	5000	materials_Horizontal_structure_rho	scalar
specific-heat-capacity	600	materials_Horizontal_structure_Cp	scalar
thermal-conductivity	2.5	materials_Horizontal_structure_k	scalar

Name

Expression

Symbol

Shape

Components

density

5000

materials_Horizontal_structure_rho

scalar

specific-heat-capacity

600

materials_Horizontal_structure_Cp

scalar

thermal-conductivity

2.5

materials_Horizontal_structure_k

scalar

4.4. Material : Insulation

Name	Expression	Symbol	Shape
density	200	materials_Insulation_rho	scalar
specific-heat-capacity	1000	materials_Insulation_Cp	scalar
thermal-conductivity	0.04	materials_Insulation_k	scalar

Name

Expression

Symbol

Shape

Components

density

200

materials_Insulation_rho

scalar

specific-heat-capacity

1000

materials_Insulation_Cp

scalar

thermal-conductivity

0.04

materials_Insulation_k

scalar

4.5. Material : Internal_wall

Name	Expression	Symbol	Shape
density	1700	materials_Internal_wall_rho	scalar
specific-heat-capacity	800	materials_Internal_wall_Cp	scalar
thermal-conductivity	0.7	materials_Internal_wall_k	scalar

Name

Expression

Symbol

Shape

Components

density

1700

materials_Internal_wall_rho

scalar

specific-heat-capacity

800

materials_Internal_wall_Cp

scalar

thermal-conductivity

0.7

materials_Internal_wall_k

scalar

4.6. Multi-Materials

Name	Expression	Symbol	Shape
density	concat(…)	materials_rho	scalar
specific-heat-capacity	concat(…)	materials_Cp	scalar
thermal-conductivity	concat(…)	materials_k	scalar

Name

Expression

Symbol

Shape

Components

density

concat(…)

materials_rho

scalar

specific-heat-capacity

concat(…)

materials_Cp

scalar

thermal-conductivity

concat(…)

materials_k

scalar

5. Boundary Conditions

5.1. Convective Heat Flux

5.1.1. alpha

expr_h

h_alpha

expr_Text

T0_alpha

markers

alpha

5.1.2. beta

expr_h

h_beta

expr_Text

T0_beta

markers

beta

5.1.3. gamma

expr_h

h_gamma

expr_Text

T0_gamma

markers

gamma

6. Meshes

6.1. Mesh : heat

Discretization

/Mesh/heat

filename

/data/home/chabannes/datasets/feelpp_toolboxes/ThermalBridgesENISO10211/partitioning/case3/M1/case3_p128.json

6.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/ThermalBridgesENISO10211/partitioning/case3/M1/case3_p128.json

generate-partitioning

0

6.1.2. Discretization

dim

3

h_average

3.258463e-02

h_max

4.434795e-02

h_min

1.754546e-02

n_edges

1299920

n_elements

1058492

n_faces

2164759

n_partition

128

n_points

193654

order

1

real_dim

3

shape

Simplex_3_1_3

partition id	n_elements	n_elements_with_ghost	n_faces	n_edges	n_points
0	8228	12663	17345	10927	1811
1	8202	12578	17237	10805	1771
2	8358	12754	17529	10959	1789
3	8163	12064	17153	10744	1755
4	8365	12051	17593	11043	1816
5	8132	14041	17125	10774	1782
6	8112	13008	17118	10791	1786
7	8154	12480	17166	10784	1773
8	8285	9627	17616	11228	1898
9	8346	10629	17703	11241	1885
10	8332	10428	17693	11253	1893
11	8425	11323	17844	11307	1889
12	8235	9840	17583	11279	1932
13	8254	11196	17533	11160	1882
14	8199	11379	17328	10956	1828
15	8147	11051	17339	11069	1878
16	8444	12290	17716	11075	1804
17	8400	12789	17701	11136	1836
18	8471	12301	17755	11082	1799
19	8469	13113	17874	11264	1860
20	8391	12506	17631	11050	1811
21	8347	11182	17610	11098	1836
22	8487	12055	17892	11268	1864
23	8484	11494	17863	11234	1856
24	8164	12363	17220	10853	1798
25	8199	11467	17294	10897	1803
26	8185	12299	17209	10791	1768
27	8186	12159	17223	10811	1775
28	8310	10660	17614	11177	1874
29	8166	11045	17295	10963	1835
30	8364	11314	17665	11159	1859
31	8056	11944	16907	10572	1722
32	8364	11066	17662	11149	1852
33	8358	12641	17595	11052	1816
34	8129	9917	17228	10935	1837
35	8412	11767	17713	11133	1833
36	8347	12418	17548	10997	1797
37	8353	12202	17528	10953	1779
38	8208	11046	17342	10952	1819
39	8449	12216	17830	11247	1867
40	8133	12143	17113	10746	1767
41	8148	12322	17137	10751	1763
42	8378	12428	17594	11008	1793
43	8303	12475	17485	10987	1806
44	8411	12424	17657	11049	1804
45	8229	12538	17349	10914	1795
46	8276	11158	17496	11059	1840
47	8305	12454	17453	10933	1786
48	8435	10636	17786	11202	1852
49	8474	11890	17888	11284	1871
50	8473	10021	17933	11358	1899
51	8459	10795	17847	11249	1862
52	8379	12003	17679	11140	1841
53	8360	11404	17579	11018	1800
54	8197	10945	17333	10968	1833
55	8383	11576	17641	11071	1814
56	8141	11103	17129	10748	1761
57	8140	11485	17111	10734	1764
58	8278	12708	17416	10934	1797
59	8203	12505	17241	10805	1768
60	8093	11351	17010	10656	1740
61	8177	12809	17204	10803	1777
62	8104	11270	17131	10831	1805
63	8332	10935	17609	11131	1855
64	8301	12214	17441	10921	1782
65	8372	12302	17557	10964	1780
66	8212	12766	17278	10849	1784
67	8184	12734	17303	10937	1819
68	8394	11238	17728	11197	1864
69	8286	11836	17495	11039	1831
70	8240	12507	17298	10817	1760
71	8230	11850	17339	10908	1800
72	8207	12356	17292	10870	1786
73	8133	11315	17220	10911	1825
74	8202	12413	17272	10851	1782
75	8098	12037	17049	10703	1753
76	8240	11301	17368	10932	1805
77	8475	10387	17919	11331	1888
78	8150	12283	17136	10745	1760
79	8108	11223	17155	10858	1812
80	8328	13018	17550	11040	1819
81	8321	12570	17505	10981	1798
82	8486	11758	17816	11149	1820
83	8460	11921	17866	11279	1874
84	8385	12635	17666	11116	1836
85	8142	12012	17098	10700	1745
86	8151	10955	17248	10917	1821
87	8273	11869	17430	10966	1810
88	8354	13088	17569	11029	1815
89	8211	12719	17203	10743	1752
90	8368	12269	17530	10932	1771
91	8328	12390	17505	10969	1793
92	8216	12403	17247	10795	1765
93	8137	11969	17128	10770	1780
94	8145	11657	17134	10751	1763
95	8141	13459	17145	10779	1776
96	8378	12145	17624	11069	1824
97	8158	10827	17240	10894	1813
98	8205	11567	17283	10870	1793
99	8164	12540	17294	10976	1847
100	8330	12368	17474	10919	1776
101	8261	12343	17399	10929	1792
102	8273	13029	17440	10976	1810
103	8324	12568	17468	10933	1790
104	8133	11400	17214	10899	1819
105	8408	11583	17735	11173	1847
106	8305	12396	17450	10931	1787
107	8187	12595	17288	10906	1806
108	8131	11351	17178	10848	1802
109	8146	10284	17314	11033	1866
110	8442	11567	17790	11199	1852
111	8295	12237	17404	10880	1772
112	8129	12289	17062	10672	1740
113	8092	12233	17014	10666	1745
114	8341	12504	17529	10983	1796
115	8207	12138	17243	10798	1763
116	8120	11342	17113	10769	1777
117	8118	12670	17088	10727	1758
118	8276	13157	17442	10975	1810
119	8119	11952	17038	10662	1744
120	8161	10844	17260	10924	1826
121	8309	12412	17477	10965	1798
122	8097	11990	16975	10596	1719
123	8056	11962	16947	10631	1741
124	8489	12145	17834	11169	1825
125	8477	11588	17885	11277	1870
126	8383	12003	17785	11305	1904
127	8209	12926	17346	10954	1818

6.1.3. Fields

7. Function Spaces

7.1. Temperature

mesh

/Mesh/heat

nSpace

1

7.1.1. Basis

is_continuous

1

nComponents

1

nComponents1

1

nComponents2

1

nLocalDof

10

name

lagrange

order

2

shape

scalar

7.1.2. Dof Table

extended-doftable

0

nDof

1493574

partition id	nLocalDofWithGhost	nLocalDofWithoutGhost	nLocalGhost
0	12738	12738	0
1	12576	12237	339
2	12748	11784	964
3	12499	11876	623
4	12859	12859	0
5	12556	11715	841
6	12577	11453	1124
7	12557	10853	1704
8	13126	13126	0
9	13126	12318	808
10	13146	12592	554
11	13196	11832	1364
12	13211	12789	422
13	13042	11777	1265
14	12784	12269	515
15	12947	11613	1334
16	12879	12124	755
17	12972	12294	678
18	12881	11958	923
19	13124	11984	1140
20	12861	12364	497
21	12934	12337	597
22	13132	11603	1529
23	13090	11778	1312
24	12651	11874	777
25	12700	11340	1360
26	12559	11317	1242
27	12586	10188	2398
28	13051	13051	0
29	12798	11427	1371
30	13018	11671	1347
31	12294	9969	2325
32	13001	13001	0
33	12868	12158	710
34	12772	12772	0
35	12966	11418	1548
36	12794	12135	659
37	12732	12091	641
38	12771	12221	550
39	13114	10812	2302
40	12513	11927	586
41	12514	11946	568
42	12801	11556	1245
43	12793	11254	1539
44	12853	11339	1514
45	12709	11705	1004
46	12899	12330	569
47	12719	10619	2100
48	13054	13054	0
49	13155	12544	611
50	13257	12644	613
51	13111	12329	782
52	12981	12516	465
53	12818	11957	861
54	12801	12276	525
55	12885	11114	1771
56	12509	11616	893
57	12498	11373	1125
58	12731	11171	1560
59	12573	10484	2089
60	12396	11750	646
61	12580	9952	2628
62	12636	11231	1405
63	12986	11305	1681
64	12703	12703	0
65	12744	12328	416
66	12633	12605	28
67	12756	10927	1829
68	13061	13061	0
69	12870	11712	1158
70	12577	10931	1646
71	12708	11547	1161
72	12656	12656	0
73	12736	11931	805
74	12633	11593	1040
75	12456	10503	1953
76	12737	11880	857
77	13219	12539	680
78	12505	10842	1663
79	12670	10804	1866
80	12859	12699	160
81	12779	11134	1645
82	12969	12446	523
83	13153	11034	2119
84	12952	11868	1084
85	12445	10887	1558
86	12738	11618	1120
87	12776	10634	2142
88	12844	11586	1258
89	12495	11739	756
90	12703	11344	1359
91	12762	10858	1904
92	12560	11697	863
93	12550	11291	1259
94	12514	10946	1568
95	12555	9587	2968
96	12893	11639	1254
97	12707	11487	1220
98	12663	12519	144
99	12823	10606	2217
100	12695	12048	647
101	12721	12152	569
102	12786	11418	1368
103	12723	10306	2417
104	12718	12718	0
105	13020	11540	1480
106	12718	11841	877
107	12712	10712	2000
108	12650	12283	367
109	12899	11543	1356
110	13051	12438	613
111	12652	10905	1747
112	12412	11928	484
113	12411	10304	2107
114	12779	11359	1420
115	12561	11505	1056
116	12546	12186	360
117	12485	11069	1416
118	12785	10547	2238
119	12406	10207	2199
120	12750	12188	562
121	12763	11505	1258
122	12315	11185	1130
123	12372	10029	2343
124	12994	12080	914
125	13147	11860	1287
126	13209	11824	1385
127	12772	10003	2769

8. Fields

8.1. temperature

base symbol

T

function space

/FunctionSpace/object-0

name

temperature

prefix symbol

heat

Name

Expression

Symbol

Shape

Components

eval of temperature

idv(.)

heat_T

scalar

norm2 of temperature

norm2(.)

heat_T_magnitude

scalar

grad of temperature

gradv(.)

heat_grad_T

vectorial [3]

Symbol	Indices
heat_grad_T_0	0,0
heat_grad_T_1	0,1
heat_grad_T_2	0,2

normal derivative of temperature

dnv(.)

heat_dn_T

scalar

9. Algebraic Solver

9.1. Backend

prefix

heat

type

petsc

9.2. KSP

atol

1.000000e-50

dtol

1.000000e+05

maxit

1000

reuse-prec

0

rtol

1.000000e-08

type

gmres

9.3. SNES

atol

1.000000e-50

maxit

50

reuse-jac

0

rtol

1.000000e-08

stol

1.000000e-08

9.4. KSP in SNES

maxit

1000

reuse-prec

0

rtol

1.000000e-05

9.5. PC

type

gamg