Toolbox::heat - Use Case Study

1. Environment

prefix

heat

keyword

heat

root repository

/data/cemosis/benchmark/toolboxes/heat/ThermalBridgesENISO10211/Case3/9c0c73a6/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/M2/case3_p128.json

6.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/ThermalBridgesENISO10211/partitioning/case3/M2/case3_p128.json

generate-partitioning

0

6.1.2. Discretization

dim

3

h_average

1.631997e-02

h_max

2.264516e-02

h_min

9.809905e-03

n_edges

9778744

n_elements

8189193

n_faces

16566803

n_partition

128

n_points

1401135

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	64670	83104	132868	80360	12163
1	64133	81843	131526	79324	11932
2	63564	79324	130542	78882	11905
3	63942	83774	131303	79365	12005
4	63953	84149	131293	79324	11985
5	63559	81211	130568	78936	11928
6	64114	81191	131686	79601	12030
7	63950	75015	131430	79528	12049
8	63561	77012	130941	79512	12133
9	64567	72873	133114	80920	12374
10	63751	72981	131463	79967	12256
11	63683	69305	131598	80270	12356
12	63348	75915	130425	79125	12049
13	63353	75679	130630	79423	12147
14	63260	68805	130579	79526	12208
15	64740	73721	133486	81171	12426
16	64139	80103	131737	79637	12040
17	64431	75720	132368	80054	12118
18	63477	75112	130791	79446	12133
19	63045	78816	129430	78170	11786
20	63748	80298	131012	79273	12010
21	63745	79538	130903	79090	11933
22	64918	82565	133537	80928	12310
23	63386	78399	130100	78541	11828
24	64102	74894	131953	80039	12189
25	64123	80498	131616	79486	11994
26	63819	77274	131323	79604	12101
27	64817	72562	133497	81073	12394
28	64784	77702	133175	80613	12223
29	62915	75534	129371	78337	11882
30	65121	80800	133640	80689	12171
31	63303	78897	130130	78759	11933
32	63961	76346	131589	79749	12122
33	63968	72380	131687	79912	12194
34	63048	74101	129818	78774	12005
35	63871	79655	131207	79342	12007
36	63693	79322	130860	79141	11975
37	64280	80176	131875	79579	11985
38	64268	75576	132275	80209	12203
39	64290	76325	132125	79955	12121
40	63964	76620	131547	79684	12102
41	64354	79637	132570	80501	12286
42	64273	81323	132091	79950	12133
43	64002	80071	131378	79349	11974
44	63559	79799	130467	78783	11876
45	63547	78466	130439	78772	11881
46	64102	80996	131834	79862	12131
47	64118	80523	131593	79462	11988
48	64302	75158	132328	80228	12203
49	64082	74685	131833	79877	12127
50	64276	77186	132011	79781	12047
51	64054	77304	131675	79699	12079
52	63297	75420	130066	78640	11872
53	64147	73087	132138	80217	12227
54	64349	71252	132526	80460	12284
55	64327	74376	132438	80355	12245
56	63946	77849	131540	79696	12103
57	63115	77385	129647	78366	11835
58	64895	78569	133436	80784	12244
59	64938	77943	133427	80690	12202
60	64171	73216	132262	80374	12284
61	64167	80233	131977	79946	12137
62	63350	74747	130190	78786	11947
63	64131	81307	131543	79381	11970
64	63419	79804	130186	78610	11844
65	64412	75587	132377	80116	12152
66	64319	78670	132426	80367	12261
67	63722	82192	131160	79551	12114
68	64152	80723	131754	79649	12048
69	64155	80826	131850	79779	12085
70	64066	82329	131487	79434	12014
71	63444	81863	130281	78730	11894
72	64455	78915	132626	80415	12245
73	64092	75173	131709	79671	12055
74	64397	81334	132465	80266	12199
75	64430	81344	132485	80236	12182
76	64909	77232	133403	80729	12236
77	63136	71184	130191	79183	12129
78	63142	74666	129807	78584	11920
79	64386	80323	132151	79783	12019
80	65539	79316	134864	81795	12471
81	62668	73990	128889	78067	11847
82	64414	79426	132042	79565	11938
83	64649	80480	132730	80176	12096
84	64674	76609	133153	80817	12339
85	62800	77106	128857	77780	11724
86	64654	81118	132692	80129	12092
87	64303	76089	132196	80017	12125
88	62538	75896	128501	77720	11758
89	63819	82006	130921	78996	11895
90	64420	78735	132553	80361	12229
91	63808	82863	131119	79297	11987
92	65270	81428	133833	80688	12126
93	63340	78603	130053	78561	11849
94	63243	79146	129963	78604	11885
95	63335	80032	130306	78957	11987
96	64313	78319	132273	80141	12182
97	63434	77307	130440	78991	11986
98	64319	80283	131894	79542	11968
99	64322	75368	132558	80573	12338
100	63146	80104	129678	78364	11833
101	63299	80175	129950	78482	11832
102	63578	79718	130565	78913	11927
103	64660	78020	132888	80425	12198
104	63306	79054	129962	78520	11865
105	62836	78992	129000	77920	11757
106	64953	83531	133198	80358	12114
107	63874	80922	131228	79378	12025
108	63276	77353	129949	78529	11857
109	64747	81697	132780	80097	12065
110	64311	78430	132049	79792	12055
111	64901	85141	133200	80467	12169
112	63152	74429	129791	78532	11894
113	64317	75840	132288	80160	12190
114	64104	79812	131511	79373	11967
115	63532	79912	130580	79019	11972
116	64019	72025	131797	79978	12201
117	63552	74800	130801	79332	12084
118	64906	77861	133433	80800	12274
119	63977	79542	131373	79386	11991
120	63281	78676	129947	78531	11866
121	64466	75564	132719	80532	12280
122	63809	79638	131043	79200	11967
123	64711	76386	132940	80409	12181
124	63818	81334	131252	79493	12060
125	63265	78556	129832	78370	11804
126	64092	79893	131481	79351	11963
127	63941	79452	131223	79225	11944

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

11179879

partition id	nLocalDofWithGhost	nLocalDofWithoutGhost	nLocalGhost
0	92523	92523	0
1	91256	88242	3014
2	90787	90787	0
3	91370	85715	5655
4	91309	90590	719
5	90864	84560	6304
6	91631	88572	3059
7	91577	89086	2491
8	91645	88689	2956
9	93294	91316	1978
10	92223	90511	1712
11	92626	88984	3642
12	91174	87613	3561
13	91570	88009	3561
14	91734	90376	1358
15	93597	87970	5627
16	91677	91677	0
17	92172	89887	2285
18	91579	89170	2409
19	89956	85429	4527
20	91283	86554	4729
21	91023	87084	3939
22	93238	86984	6254
23	90369	83739	6630
24	92228	90170	2058
25	91480	86316	5164
26	91705	89369	2336
27	93467	88682	4785
28	92836	89844	2992
29	90219	84488	5731
30	92860	85830	7030
31	90692	81248	9444
32	91871	91871	0
33	92106	89761	2345
34	90779	88265	2514
35	91349	86196	5153
36	91116	91116	0
37	91564	86873	4691
38	92412	87759	4653
39	92076	87683	4393
40	91786	88757	3029
41	92787	89874	2913
42	92083	86549	5534
43	91323	85597	5726
44	90659	86221	4438
45	90653	86474	4179
46	91993	84698	7295
47	91450	83803	7647
48	92431	92431	0
49	92004	89347	2657
50	91828	90173	1655
51	91778	88453	3325
52	90512	88466	2046
53	92444	90313	2131
54	92744	90305	2439
55	92600	86352	6248
56	91799	88405	3394
57	90201	85544	4657
58	93028	87126	5902
59	92892	87677	5215
60	92658	89502	3156
61	92083	84876	7207
62	90733	85722	5011
63	91351	81226	10125
64	90454	90454	0
65	92268	89903	2365
66	92628	88008	4620
67	91665	85610	6055
68	91697	88950	2747
69	91864	88636	3228
70	91448	85481	5967
71	90624	84196	6428
72	92660	88774	3886
73	91726	88890	2836
74	92465	89900	2565
75	92418	84490	7928
76	92965	89728	3237
77	91312	89035	2277
78	90504	87587	2917
79	91802	84873	6929
80	94266	90567	3699
81	89914	87162	2752
82	91503	86792	4711
83	92272	87127	5145
84	93156	90930	2226
85	89504	85140	4364
86	92221	87128	5093
87	92142	84948	7194
88	89478	86904	2574
89	90891	83754	7137
90	92590	90614	1976
91	91284	83239	8045
92	92814	87105	5709
93	90410	83273	7137
94	90489	86010	4479
95	90944	80812	10132
96	92323	92323	0
97	90977	88341	2636
98	91510	87095	4415
99	92911	86236	6675
100	90197	86635	3562
101	90314	87206	3108
102	90840	84055	6785
103	92623	86649	5974
104	90385	87935	2450
105	89677	86844	2833
106	92472	86015	6457
107	91403	83308	8095
108	90386	85726	4660
109	92162	84074	8088
110	91847	86028	5819
111	92636	80785	11851
112	90426	87922	2504
113	92350	90200	2150
114	91340	89621	1719
115	90991	82625	8366
116	92179	92179	0
117	91416	88843	2573
118	93074	87055	6019
119	91377	85319	6058
120	90397	88611	1786
121	92812	87592	5220
122	91167	86948	4219
123	92590	85450	7140
124	91553	85361	6192
125	90174	83790	6384
126	91314	83869	7445
127	91169	81790	9379

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