4. example

MACR_INFO_MAIL (MAILLAGE = MARTEAU,

TAILLE =” OUI “, CONNEXITE =” OUI “, INTERPENETRATION =” OUI “, DIAMETRE =” OUI “, QUALITE =” OUI “)

This sequence will write general information (dimension, degree, number of knots and meshes,…) then a diagnosis on the quality, diameters and interpenetration of the meshes used in mesh MARTEAU as well as the size and connectivity of the various sub-domains. The version of HOMARD by default is used.

Maillage a analyser MARTEAU Date de creation : lundi 15 fevrier 2010 a 15 h 59 mn 22 s Dimension : 2 Degre : 1 C'est un maillage de depart. Direction | Unite | Minimum | Maximum --------------------------------------------------------------- x | cm | 0.0000 | 20.000 y | cm | -2.0000 | 11.000

Information on the number of entities in the calculation is classified by type: nodes, mesh-points, edges, etc. We sort between the edge stitches and the others.

NOMBRE D'ENTITES DU CALCUL ========================== ************************************************************;; ;;* Noeuds *;; ;;************************************************************ *Nombre total* 76 *;; ;;************************************************************ ************************************************************;; ;;* Segments *;; ;;************************************************************ *Nombre total* 32 *;; ;;* . dont aretes isolees *0* *. dont aretes de bord de regions 2D* 32 *;; ;;* . dont aretes internes aux faces/volumes *0* ************************************************************;; ;;************************************************************ *Triangles* ************************************************************;; ;;* Nombre total *118* ************************************************************

The diagnosis on the interpenetrations of the meshes is made by type of entity.

INTERPENETRATION DES MAILLES ============================ **********************************************************;; ;;* *;; ;;* Recapitulatif sur les noeuds *;; ;;* *;; ;;* Aucun probleme n'a ete rencontre. *;; ;;* *;; ;;********************************************************** **********************************************************;; ;;* *;; ;;* Recapitulatif sur les triangles *;; ;;* *;; ;;* Aucun probleme n'a ete rencontre. *;; ;;* *;; ;;**********************************************************

In the diagnosis of the quality of the meshes, the extreme values encountered in the mesh analyzed are first noted. Here the minimum is 1.0044, very close to the theoretical absolute minimum which is 1, and the maximum encountered is 1.5788. Next, the distribution by equidistant slice is presented starting from the optimum value, 1. We can see that 3 triangles have a quality between 1 and 1.025, or 2.54% of the total number of triangles. Likewise, 16 triangles have a quality between 1.025 and 1.050, or 11.02% of the total number of triangles, and 10 triangles have a quality between 1.050 and 1.075, or 8.47% of the total number of triangles. Cumulatively, we therefore see that 26 (=3+13+10) triangles have a quality better than 1.075, i.e. 22.03% of the total. And so on. For example, 98.31% of stitches have a quality better than 1.425.

DIAMETRES DES TRIANGLES ----------------------- ************************************************************;; ;;* Rappel : le diametre est egal a la longueur du plus *;; ;;* grand segment que l'on peut tracer dans la maille. *;; ;;* Pour un triangle, c'est la longueur de la plus *;; ;;* grande arete. *;; ;;************************************************************ *Minimum : 1.1777 Maximum : 2.7500* ************************************************************;; ;;* Fonction de repartition *;; ;;* Valeurs *Nombre de mailles* *Mini < < Maxi* par classe *cumul* * *en % . nombre* en % . nombre *;; ;;************************************************************ *1.100 < 1.150* 0.00 . 0 *0.00 . 0* *1.150 < 1.200* 0.85 . 1 *0.85 . 1* *1.200 < 1.250* 0.00 . 0 *0.85 . 1* *1.250 < 1.300* 0.85 . 1 *1.69 . 2* *1.300 < 1.350* 0.85 . 1 *2.54 . 3* *1.350 < 1.400* 1.69 . 2 *4.24 . 5* *1.400 < 1.450* 1.69 . 2 *5.93 . 7* *1.450 < 1.500* 1.69 . 2 *7.63 . 9* *1.500 < 1.550* 2.54 . 3 *10.17 . 12* *1.550 < 1.600* 6.78 . 8 *16.95 . 20* *1.600 < 1.650* 4.24 . 5 *21.19 . 25* *1.650 < 1.700* 11.02 . 13 *32.20 . 38* *1.700 < 1.750* 5.08 . 6 *37.29 . 44* *1.750 < 1.800* 6.78 . 8 *44.07 . 52* *1.800 < 1.850* 6.78 . 8 *50.85 . 60* *1.850 < 1.900* 2.54 . 3 *53.39 . 63* *1.900 < 1.950* 3.39 . 4 *56.78 . 67* *1.950 < 2.000* 11.86 . 14 *68.64 . 81* *2.000 < 2.050* 2.54 . 3 *71.19 . 84* *2.050 < 2.100* 5.08 . 6 *76.27 . 90* *2.100 < 2.150* 2.54 . 3 *78.81 . 93* *2.150 < 2.200* 3.39 . 4 *82.20 . 97* *2.200 < 2.250* 0.85 . 1 *83.05 . 98* *2.250 < 2.300* 3.39 . 4 *86.44 . 102* *2.300 < 2.350* 2.54 . 3 *88.98 . 105* *2.350 < 2.400* 2.54 . 3 *91.53 . 108* *2.400 < 2.450* 2.54 . 3 *94.07 . 111* *2.450 < 2.500* 0.00 . 0 *94.07 . 111* *2.500 < 2.550* 0.00 . 0 *94.07 . 111* *2.550 < 2.600* 0.00 . 0 *94.07 . 111* *2.600 < 2.650* 2.54 . 3 *96.61 . 114* *2.650 < 2.700* 0.00 . 0 *96.61 . 114* *2.700 < 2.750* 0.00 . 0 *96.61 . 114* *2.750 < 2.800* 3.39 . 4 *100.00 . 118* *2.800 < 2.850* 0.00 . 0 *100.00 . 118* *2.850 < 2.900* 0.00 . 0 *100.00 . 118* *2.900 < 2.950* 0.00 . 0 *100.00 . 118* *2.950 < 3.000* 0.00 . 0 *100.00 . 118* *3.000 < 3.050* 0.00 . 0 *100.00 . 118* *3.050 < 3.100* 0.00 . 0 *100.00 . 118* ************************************************************;; QUALITES DES TRIANGLES ---------------------- ;;************************************************************ *Rappel : la qualite est egale au rapport du diametre* *du triangle sur le rayon du cercle inscrit,* *normalise a 1 pour un triangle equilateral.* ************************************************************;; ;;* Minimum : 1.0044 Maximum : 1.5788 *;; ;;************************************************************ *Fonction de repartition* *Valeurs* Nombre de mailles *;; ;;* Mini < < Maxi *par classe* cumul *;; ;;* *en % . nombre* en % . nombre *;; ;;************************************************************ *1.000 < 1.025* 2.54 . 3 *2.54 . 3* *1.025 < 1.050* 11.02 . 13 *13.56 . 16* *1.050 < 1.075* 8.47 . 10 *22.03 . 26* *1.075 < 1.100* 13.56 . 16 *35.59 . 42* *1.100 < 1.125* 7.63 . 9 *43.22 . 51* *1.125 < 1.150* 14.41 . 17 *57.63 . 68* *1.150 < 1.175* 11.86 . 14 *69.49 . 82* *1.175 < 1.200* 6.78 . 8 *76.27 . 90* *1.200 < 1.225* 5.08 . 6 *81.36 . 96* *1.225 < 1.250* 4.24 . 5 *85.59 . 101* *1.250 < 1.275* 2.54 . 3 *88.14 . 104* *1.275 < 1.300* 4.24 . 5 *92.37 . 109* *1.300 < 1.325* 1.69 . 2 *94.07 . 111* *1.325 < 1.350* 1.69 . 2 *95.76 . 113* *1.350 < 1.375* 1.69 . 2 *97.46 . 115* *1.375 < 1.400* 0.00 . 0 *97.46 . 115* *1.400 < 1.425* 0.85 . 1 *98.31 . 116* *1.425 < 1.450* 0.00 . 0 *98.31 . 116* *1.450 < 1.475* 0.00 . 0 *98.31 . 116* *1.475 < 1.500* 0.00 . 0 *98.31 . 116* *1.500 < 1.525* 0.00 . 0 *98.31 . 116* *1.525 < 1.550* 0.00 . 0 *98.31 . 116* *1.550 < 1.575* 0.85 . 1 *99.15 . 117* *1.575 < 1.600* 0.85 . 1 *100.00 . 118* *1.600 < 1.625* 0.00 . 0 *100.00 . 118* *1.625 < 1.650* 0.00 . 0 *100.00 . 118* *1.650 < 1.675* 0.00 . 0 *100.00 . 118* *1.675 < 1.700* 0.00 . 0 *100.00 . 118* *1.700 < 1.725* 0.00 . 0 *100.00 . 118* *1.725 < 1.750* 0.00 . 0 *100.00 . 118* ************************************************************

In the following figure, we can see the representation in the form of a histogram of the percentages of cells in each of the quality ranges concerned.

Connectivity control ensures that the computing domain is in one piece. It may happen that this domain is in several disjunct parts, for example for contact problems. But the diagnosis of several pieces often reveals a problem when creating the mesh: we did not put sub-parts together correctly. And since visual checks don’t always make it clear, the calculation is wrong… while appearing to be accurate. Worst situation that could ever happen. Therefore, it is highly recommended to use this option.

CONNEXITE DES ENTITES DU CALCUL =============================== **********************************************************;; ;;* Les triangles sont en un seul bloc. *;; ;;********************************************************** **********************************************************;; ;;* Les segments sont en un seul bloc. *;; ;;* Cette ligne est fermee. *;; ;;**********************************************************

The sizes of the subparts of the mesh are displayed by dimensions. Sorting takes place roughly according to the declared mesh groups; there may be a finer subdivision when the groups intersect. This presentation allows you to check that you have meshed what you wanted. In particular, this makes it possible to identify errors in grouping or creating groups when creating the mesh. Again, using this option is highly recommended.

TAILLES DES SOUS-DOMAINES DE CALCUL =================================== Direction | Unite ----------------------------------------- x | cm y | cm ************************************************************;; ;;* Sous-domaines 2D *;; ;;************************************************************ *Numero* Nom *Surface* ************************************************************;; ;;* -12 *Sous-domaine_12* 20.0000 *;; ;;* -11 *Sous-domaine_11* 128.000 *;; ;;************************************************************ *Total :* 148.000 *;; ;;************************************************************ ************************************************************;; ;;* Sous-domaines 1D *;; ;;************************************************************ *Numero* Nom *Longueur* ************************************************************;; ;;* -2 *Sous-domaine_2* 10.0000 *;; ;;* -1 *Sous-domaine_1* 4.00000 *;; ;;* -3 *Sous-domaine_3* 16.0000 *;; ;;* -5 *Sous-domaine_5* 8.00000 *;; ;;* -4 *Sous-domaine_4* 26.2462 *;; ;;************************************************************ *Total :* 64.2462 *;; ;;************************************************************ *Minimum :* 4.00000 *;; ;;* Maximum : *26.2462* ************************************************************

The analysis of the properties of the elements of the calculation displays a diagnosis on the overstressed elements and the edge elements.

DIAGNOSTICS SUR LES ELEMENTS DU CALCUL ====================================== ************************************************************;; ;;* Triangles *;; ;;************************************************************ *Nombre d'elements surcontraints* 0 *;; ;;* Nombre d'elements sans mailles de bord *0* ************************************************************