3. Modeling A

3.1. Characteristics of modeling

Axisymmetric modeling

For reasons of symmetry, we mesh only half a section.

Boundary conditions:	On z=75 mm	Adiabatic (symmetry: zero flow) \(\phi =0\)
	on x= 50mm and z=0mm	From 0 to 14s: \(-\lambda \cdot \partial T/\partial n=h(T(r,z,t)-{T}_{\infty })\) from 14s to 240s: \(-\lambda \cdot \partial T/\partial n=F(T(r,z,t))\)

3.2. Characteristics of the mesh

Number of knots:	4316
Number of meshes and types:	QUAD8, SEG3

3.3. notes

105 calculation steps from 0 to 240s (60 steps of 1s, then 45 steps of 4s).

3.4. Tested sizes and results

Fields TEMP and DURT_ELNO:

TPN: Temperature at the node

HV: Vickers hardness

Identification	Size	Aster
T=13s, Node TC0	TPN	871,348
T=20s, Node TC0	TPN	291,800
T=30s, Node TC0	TPN	226,905
T=13s, Node TC9	TPN	890,128
T=20s, Node TC9	TPN	608,298
T=30s, Node TC9	TPN	432,164
T=13s, Node TC10	TPN	895,338
T=20s, Node TC10	TPN	717.098
T=30s, Node TC10	TPN	520,166

Position	Node	mesh	Size	Aster	Measures	Difference (%)
Z (mm) = 5
R (mm) = 11	N94	M101	M101	HV	361.145	398	9.0
R (mm) = 20	N103	M103	M120	M120	HV	365.324	404	10.0
R (mm) = 29	N112	M137	M137	HV	371.928	408	9.0
R (mm) = 41	N187	M187	M341	M341	HV	408,118	413	3.0
R (mm) = 47	N193	M353	M353	HV	432,139	427	2.0

Position	Node	mesh	Size	Aster	measur	Difference (%)
H=15; R=41	N231	N231	M421	HV	374.327	381	2.0
H=15; R=47	N237	N237	M433	HV	400.68	401	0.5
H=25; R=41	N275	N275	M501	HV	359.687	355	1.5
H=25; R=47	N281	N281	M513	HV	392,703	396	0.5
H=35; R=41	N319	N319	M581	HV	346.007	345	1.0
H=35; R=47	N325	M325	M593	HV	391,844	425	7,0
H=45; R=41	N363	N363	M661	M661	HV	344,908	335	3,0
H=45; R=47	N369	N369	M673	M673	HV	391.77	425	7.0
H=55; R=41	N407	N407	M741	M741	HV	345,728	370	8.0
H=55; R=47	N413	N413	M753	HV	391,836	430	9.0
H=65; R=41	N451	N451	M821	HV	346,752	350	2.0
H=65; R=47	N457	N457	M833	M833	HV	391.863	410	4.0
H=75; R=41	N3148	N3148	M901	HV	346,871	330	4.5
H=75; R=47	N3154	N3154	M913	HV	391,842	425	7,0