doc[V4.05.302] TPLP302 - rectangular plate with imposed
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[V4.05.302] TPLP302 - rectangular plate with imposed
Version default Code_Aster Titre : TPLP302 - Plaque rectangulaire avec température im[...] Responsable : HAELEWYN Jessica Date : 02/02/2011 Page : 1/6 Révision Clé : V4.05.302 : 756f3da81438 TPLP302- Rectangular plate with prescribed temperature Summary: This test is resulting from the validation independent of version 3 in linear steady thermal. It is about a problem 2d plane represented by a modelization shell. The functionalities tested are the following ones: • thermal shell element, • boundary conditions: imposed temperature. The results are compared with an analytical solution. Warning : The translation process used on this website is a "Machine Translation". It may be imprecise and inaccurate in whole or in part and is provided as a convenience. Licensed under the terms of the GNU FDL (http://www.gnu.org/copyleft/fdl.html) Version default Code_Aster Titre : TPLP302 - Plaque rectangulaire avec température im[...] Responsable : HAELEWYN Jessica 1 Reference problem 1.1 Geometry Date : 02/02/2011 Page : 2/6 Révision Clé : V4.05.302 Y l D C l = 0.2 m L = 2 m a = 0.05m a Points E F G H I J K a K L G J F I E H X Y 0.05 0.10 0.15 0.05 0.10 0.15 0.20 Thermal conductivity Boundary conditions and loadings • • 1.4 Material properties =1 W /m° C 1.3 X 0.05 0.05 0.05 0.10 0.10 0.10 0.10 B A 1.2 : 756f3da81438 Imposed temperature: • dimensioned [ BC] and • dimensioned [ AB] Imposed flow: • dimensioned [CD ] [ AD ] T =0 ° C , T =100° C . =0 Initial conditions Unfounded. Warning : The translation process used on this website is a "Machine Translation". It may be imprecise and inaccurate in whole or in part and is provided as a convenience. Licensed under the terms of the GNU FDL (http://www.gnu.org/copyleft/fdl.html) Version default Code_Aster Titre : TPLP302 - Plaque rectangulaire avec température im[...] Responsable : HAELEWYN Jessica Date : 02/02/2011 Page : 3/6 Révision Clé : V4.05.302 : 756f3da81438 2 Reference solution 2.1 Computation method used for the reference solution ∞ T x , y= wh ere 4T P ∑ e [−2n 1 y/l ] n=0 2n1 .sin [ Abscisse y : Tp : n= y-coordinate temperature imposed on with dimensions one [ AB] 0,1 ,2 ,3 , … n=1000 Reference results Temperature at the points 2.3 ] x : The reference values are obtained with 2.2 2n1 x l E , F ,G , H , I , J , K Uncertainty on the solution Analytical solution. 2.4 References [1] J.R. Welty, E.C. Wicks, R.E. Wilson, «Fundamentals of momentum heat and farmhouse transfer», third edition, John Wiley & Sons, 1983. Warning : The translation process used on this website is a "Machine Translation". It may be imprecise and inaccurate in whole or in part and is provided as a convenience. Licensed under the terms of the GNU FDL (http://www.gnu.org/copyleft/fdl.html) Version default Code_Aster Titre : TPLP302 - Plaque rectangulaire avec température im[...] Responsable : HAELEWYN Jessica 3 Modelization A 3.1 Characteristics of modelization Date : 02/02/2011 Page : 4/6 Révision Clé : V4.05.302 : 756f3da81438 SHELL (TRIA6) y D Conditions limites: C coté AL C coté AD = 0 coté LM = 0 coté DM Points X Y Noeuds E 0.05 0.05 N21 F 0.05 0.10 N39 G 0.05 0.15 N57 H 0.10 0.05 N23 I 0.10 0.10 N41 J 0.10 0.15 N59 K 0.10 0.20 N77 M .1 2. x A L Découpage: 4 éléments 40 éléments 3.2 Characteristics of the mesh Number of nodes: Number of meshes and types: 3.3 suivant x suivant y 729 320 TRIA6 Remarks Limit conditions, T =100° C on AB , and T =0 ° C on AD , are incompatible at point A. Code_Aster bracket a «model of overload» which, in this case, consists in taking into account the last boundary condition entered. The order of assignment of the imposed temperatures thus has a large influence on the obtained results. In the treated case, the temperature assigned to the point 3.4 A is of 0 ° C . Quantities tested and results Identification Temperature Reference Aster difference tolerance ° C N21(surface_supérieure) N21(surface_moyenne) N21(surface_inférieure) N39(surface_supérieure) N39(surface_moyenne) N39(surface_inférieure) N57(surface_supérieure) 43,496 43,496 43,496 18,978 18,978 18,978 8,559 43,499 43,499 43,499 18,957 18,957 18,957 8,554 0,007 0,007 0,007 -0,112 -0,112 -0,112 -0,057 1% 1% 1% 1% 1% 1% 1% Warning : The translation process used on this website is a "Machine Translation". It may be imprecise and inaccurate in whole or in part and is provided as a convenience. Licensed under the terms of the GNU FDL (http://www.gnu.org/copyleft/fdl.html) Version default Code_Aster Titre : TPLP302 - Plaque rectangulaire avec température im[...] Responsable : HAELEWYN Jessica N57(surface_moyenne) N57 (surface_inférieure) N23(surface_supérieure) N23(surface_moyenne) N23 (surface_inférieure) N41(surface_supérieure) N41(surface_moyenne) N41 (surface_inférieure) N59(surface_supérieure) N59(surface_moyenne) N59 (surface_inférieure) N77(surface_supérieure) N77(surface_moyenne) N77 (surface_inférieure) 8,559 8,559 54,467 54,467 54,467 26,096 26,096 26,096 12,032 12,032 12,032 5,499 5,499 5,499 Date : 02/02/2011 Page : 5/6 Révision Clé : V4.05.302 : 756f3da81438 8,554 8,554 54,514 54,514 54,514 26,096 26,096 26,096 12,025 12,025 12,025 5,496 5,496 5,496 -0,057 -0,057 0,087 0,087 0,087 -0,001 -0,001 -0,001 - 0,061 -0,061 -0,061 -0,063 -0,063 -0,063 1% 1% 1% 1% 1% 1% 1% 1% 1% 1% 1% 1% 1% 1% Warning : The translation process used on this website is a "Machine Translation". It may be imprecise and inaccurate in whole or in part and is provided as a convenience. Licensed under the terms of the GNU FDL (http://www.gnu.org/copyleft/fdl.html) Code_Aster Titre : TPLP302 - Plaque rectangulaire avec température im[...] Responsable : HAELEWYN Jessica 4 Version default Date : 02/02/2011 Page : 6/6 Révision Clé : V4.05.302 : 756f3da81438 Summary of results Modelization COQUE with elements TRIA6 gives very satisfactory results, the maximum gap obtained is 0.11%. The interest of this test is of: • • to test TRIA6 meshes in COQUE, to compare the results compared to an analytical solution. Warning : The translation process used on this website is a "Machine Translation". It may be imprecise and inaccurate in whole or in part and is provided as a convenience. Licensed under the terms of the GNU FDL (http://www.gnu.org/copyleft/fdl.html)
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