Toolbox::heat - Use Case Study

1. Environment

prefix

heat

keyword

heat

root repository

/data/cemosis/benchmark/toolboxes/heat/ThermalBridgesENISO10211/Case3/693cb2e9/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/M3/case3_p128.json

6.1.1. Import configuration

mesh-filename

/data/home/chabannes/datasets/feelpp_toolboxes/ThermalBridgesENISO10211/partitioning/case3/M3/case3_p128.json

generate-partitioning

0

6.1.2. Discretization

dim

3

h_average

8.183349e-03

h_max

1.161483e-02

h_min

4.779459e-03

n_edges

75307308

n_elements

63987199

n_faces

128722252

n_partition

128

n_points

10572256

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	499998	549476	1014360	601443	87082
1	500915	532550	1017212	604048	87752
2	499991	562108	1013417	599936	86511
3	499064	542392	1013398	601668	87335
4	499995	563700	1013700	600392	86688
5	500011	561162	1013468	600020	86564
6	500201	548552	1014817	601723	87108
7	500279	555549	1015235	602250	87295
8	499713	564688	1013252	600183	86645
9	500813	546026	1016433	603015	87396
10	500798	546977	1016228	602801	87372
11	499970	561426	1013619	600270	86622
12	500009	564938	1013898	600676	86788
13	500027	564385	1013683	600345	86690
14	500022	567268	1014231	601195	86987
15	499994	563196	1013802	600515	86708
16	499378	562796	1012036	599034	86377
17	499454	575872	1013025	600299	86729
18	499488	555726	1013849	601531	87171
19	499478	572749	1012100	598979	86358
20	500246	553954	1014789	601660	87118
21	500220	572774	1013874	600273	86620
22	500025	566512	1014338	601289	86977
23	500030	564474	1013805	600471	86697
24	500536	543623	1016002	602941	87476
25	497058	553926	1007722	596751	86088
26	500532	549214	1016792	604165	87906
27	498037	566374	1010257	598796	86577
28	499986	564502	1014133	601086	86940
29	499967	564915	1013890	600648	86726
30	500167	569023	1014889	601887	87166
31	500052	559084	1013559	600082	86576
32	501661	565496	1016894	602152	86920
33	499765	564573	1013210	600056	86612
34	500599	547859	1015563	602143	87180
35	499772	552527	1014238	601617	87152
36	499820	565849	1013816	600839	86844
37	499760	563596	1013798	600938	86901
38	500052	563906	1013485	599969	86537
39	499898	562174	1013313	599935	86521
40	499846	549805	1013864	600944	86927
41	499836	552043	1014033	601222	87026
42	499810	562532	1013391	600246	86666
43	499810	563699	1013354	600244	86701
44	499807	543779	1014320	601724	87212
45	499785	562575	1013452	600330	86664
46	499820	530591	1015472	603477	87826
47	499819	556621	1014145	601386	87061
48	500326	550905	1014657	601299	86969
49	500339	553682	1015522	602530	87348
50	500338	568635	1013643	599740	86436
51	500336	564517	1014865	601512	86984
52	499887	565283	1014043	601077	86922
53	499887	574057	1012980	599534	86442
54	499733	574385	1012864	599594	86464
55	499891	570602	1013166	599837	86563
56	499471	520533	1015202	603591	87861
57	499473	534708	1014397	602377	87454
58	499541	546090	1014483	602404	87463
59	499500	533826	1014679	602730	87552
60	499503	520931	1015175	603512	87841
61	499501	532692	1015024	603269	87747
62	499863	548860	1015573	603438	87729
63	499513	550507	1014394	602229	87349
64	500119	531088	1015537	603018	87601
65	500113	550583	1014827	601890	87177
66	500112	559935	1015261	602516	87368
67	500263	552937	1014978	601828	87114
68	500257	564499	1014653	601377	86982
69	500121	564193	1013976	600576	86722
70	498157	561635	1010533	598915	86540
71	499354	543217	1013298	601061	87118
72	499633	568110	1012689	599487	86432
73	499631	561497	1012824	599745	86553
74	499991	565474	1013772	600488	86708
75	500001	562875	1013777	600481	86706
76	501824	558713	1019060	605166	87931
77	502072	556801	1018568	603967	87472
78	500060	564705	1014378	601301	86984
79	499851	565732	1013035	599660	86477
80	499298	568415	1011975	599078	86402
81	499509	552421	1014331	602286	87465
82	501622	541934	1018009	603976	87590
83	499917	541843	1014457	601689	87150
84	499959	554714	1014501	601695	87154
85	499618	554475	1013349	600562	86832
86	499619	554703	1012749	599637	86508
87	499927	551574	1014124	601178	86982
88	499994	554451	1013905	600724	86814
89	499977	551367	1014100	601018	86896
90	500355	554804	1015099	601928	87185
91	499379	537676	1013158	600660	86882
92	499900	535947	1015577	603504	87828
93	499916	551184	1013796	600702	86823
94	499898	527382	1015033	602650	87516
95	499717	540121	1014375	601910	87253
96	500603	547478	1015745	602385	87244
97	500598	564805	1014812	600956	86743
98	500276	543487	1015303	602333	87307
99	500312	563518	1014768	601407	86952
100	500604	563823	1016023	602808	87390
101	500614	543887	1015753	602412	87274
102	496013	557554	1005670	595624	85968
103	495989	541417	1006716	597296	86570
104	500238	568359	1013990	600393	86642
105	500236	563498	1014699	601487	87025
106	499315	565526	1012649	600024	86691
107	500203	567202	1014520	601260	86944
108	499318	571506	1012146	599218	86391
109	500335	564049	1014497	601007	86846
110	499626	566173	1012785	599703	86545
111	501094	553448	1017664	604381	87812
112	500055	561164	1013511	599999	86544
113	500053	544130	1014913	602153	87294
114	498248	566055	1009397	597102	85954
115	499864	548842	1014249	601507	87123
116	500054	563672	1013895	600559	86719
117	500221	562996	1014172	600691	86741
118	499988	566385	1013212	599703	86480
119	500055	568908	1013834	600474	86696
120	500635	552326	1015730	602350	87256
121	498867	531077	1012901	601305	87272
122	498915	543792	1012789	601051	87178
123	500060	561666	1013591	600122	86592
124	500479	549723	1015392	602116	87204
125	500481	562113	1015979	602927	87430
126	500054	561237	1013813	600365	86607
127	500216	567881	1015078	602100	87239

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

4

name

lagrange

order

1

shape

scalar

7.1.2. Dof Table

extended-doftable

0

nDof

10572256

partition id	nLocalDofWithGhost	nLocalDofWithoutGhost	nLocalGhost
0	87082	87082	0
1	87752	85303	2449
2	86511	83865	2646
3	87335	82457	4878
4	86688	83654	3034
5	86564	83698	2866
6	87108	82393	4715
7	87295	82533	4762
8	86645	86645	0
9	87396	84381	3015
10	87372	82681	4691
11	86622	79906	6716
12	86788	83831	2957
13	86690	84041	2649
14	86987	83361	3626
15	86708	76958	9750
16	86377	85470	907
17	86729	83977	2752
18	87171	85309	1862
19	86358	81333	5025
20	87118	85416	1702
21	86620	81445	5175
22	86977	79814	7163
23	86697	80371	6326
24	87476	87476	0
25	86088	83537	2551
26	87906	84007	3899
27	86577	79548	7029
28	86940	82188	4752
29	86726	78712	8014
30	87166	81138	6028
31	86576	79565	7011
32	86920	83423	3497
33	86612	84319	2293
34	87180	82788	4392
35	87152	82057	5095
36	86844	86844	0
37	86901	80486	6415
38	86537	79308	7229
39	86521	79796	6725
40	86927	86927	0
41	87026	84237	2789
42	86666	82358	4308
43	86701	79915	6786
44	87212	85519	1693
45	86664	78208	8456
46	87826	86260	1566
47	87061	78199	8862
48	86969	86969	0
49	87348	81088	6260
50	86436	84063	2373
51	86984	79418	7566
52	86922	81472	5450
53	86442	81494	4948
54	86464	82118	4346
55	86563	77016	9547
56	87861	87861	0
57	87454	83638	3816
58	87463	84183	3280
59	87552	83676	3876
60	87841	87841	0
61	87747	83967	3780
62	87729	84300	3429
63	87349	80313	7036
64	87601	87601	0
65	87177	84388	2789
66	87368	83237	4131
67	87114	83825	3289
68	86982	85230	1752
69	86722	81871	4851
70	86540	82146	4394
71	87118	82076	5042
72	86432	84142	2290
73	86553	81806	4747
74	86708	82872	3836
75	86706	79615	7091
76	87931	84463	3468
77	87472	84058	3414
78	86984	79219	7765
79	86477	78997	7480
80	86402	81728	4674
81	87465	79746	7719
82	87590	85078	2512
83	87150	84808	2342
84	87154	85581	1573
85	86832	80840	5992
86	86508	79918	6590
87	86982	81185	5797
88	86814	83304	3510
89	86896	83072	3824
90	87185	83624	3561
91	86882	82712	4170
92	87828	85809	2019
93	86823	80959	5864
94	87516	85486	2030
95	87253	80780	6473
96	87244	87244	0
97	86743	84000	2743
98	87307	83242	4065
99	86952	78694	8258
100	87390	85728	1662
101	87274	82135	5139
102	85968	83744	2224
103	86570	81889	4681
104	86642	84192	2450
105	87025	82173	4852
106	86691	82654	4037
107	86944	79656	7288
108	86391	81652	4739
109	86846	77789	9057
110	86545	78042	8503
111	87812	79794	8018
112	86544	86544	0
113	87294	84703	2591
114	85954	80733	5221
115	87123	79513	7610
116	86719	83825	2894
117	86741	81648	5093
118	86480	78787	7693
119	86696	76261	10435
120	87256	87256	0
121	87272	84238	3034
122	87178	82543	4635
123	86592	80176	6416
124	87204	84332	2872
125	87430	79709	7721
126	86607	80206	6401
127	87239	76822	10417

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