From deb5f024f2af09293ce204616d618aeda01c965a Mon Sep 17 00:00:00 2001 From: eap Date: Wed, 21 Dec 2005 08:30:31 +0000 Subject: [PATCH] PAL10872 (aspect retio not conform with specifications). Add picture for aspect ratio of hexahedron. Remove 2D formular from 3D aspect ratio page --- doc/salome/gui/SMESH/aspect_ratio_3d.htm | 37 +++++++++++++------------------ doc/salome/gui/SMESH/image139.gif | Bin 0 -> 5289 bytes 2 files changed, 16 insertions(+), 21 deletions(-) create mode 100644 doc/salome/gui/SMESH/image139.gif diff --git a/doc/salome/gui/SMESH/aspect_ratio_3d.htm b/doc/salome/gui/SMESH/aspect_ratio_3d.htm index 560b785..20573a1 100755 --- a/doc/salome/gui/SMESH/aspect_ratio_3d.htm +++ b/doc/salome/gui/SMESH/aspect_ratio_3d.htm @@ -97,29 +97,13 @@ else

This mesh quality criterion resembles to the Aspect ratio - criterion, however, it is also applied to 3D mesh elements: tetrahedrons, + criterion, however, it is applied to 3D mesh elements: tetrahedrons, pentahedrons, hexahedrons, etc.

-

There are 2 simple formulas to evaluate directly the value of quality - Qk for simplex in 2D and 3D. The formulas are :

+

There are simple formulas to evaluate directly the value of quality + Qk for simplex in 3D. The formulas are :

-

 For triangle :

- -

- -

- -

- -

where :

- -

- -

- -

- -

+

 For tetrahedron :

@@ -136,7 +120,7 @@ else

-

For the other types of element like quadrangle, pentahedron and hexahedron +

For the other types of element like pentahedron and hexahedron the formula is the following :

@@ -144,6 +128,17 @@ else

Where Qi are the quality of all the possible simplex (of same dimension as the element) that compose the element.

+

For example, hexahedron is analysed via 6 tetrahedrons this way:

+ +

+ +

+ +

For 3D elements with quadrangular faces, aspect ratio of such faces +is also analysed and the maximal one over 3D and 2D qualities is taken.

+ +

+

See Also diff --git a/doc/salome/gui/SMESH/image139.gif b/doc/salome/gui/SMESH/image139.gif new file mode 100644 index 0000000000000000000000000000000000000000..03943831c52fc6ed4ea9f8c62045033902e36962 GIT binary patch literal 5289 zcmV;a6jtj;Nk%w1VL1YV0p|b!000010RaL60s{jB1Ox;H1qB8M1_uWR2nYxX2?+`c z3JVJh3=9kn4Gj(s4i66x5D*X%5fKs+5)%^>6ciK{6%`g178e&67#J8C85tTH8XFrM z92^`S9UUGX9v>ecARr(iAt53nA|oRsBqSsyB_\$>%CMPE+C@3f?DJd!{Dl021EG#T7 zEiEoCE-x=HFfcGNF)=bSGBYzXG&D3dH8nOiHa9mnI5;>tIXOByIy*Z%JUl!-Jv}}? zK0iM{KtMo2K|w-7LPJACL_|bIMMXwNMn^|SNJvOYNl8jdN=r*iOiWBoO-)WtPESuy zP*6}&QBhJ-Qd3h?R8&+|RaI72R##V7SXfwDSy@_IT3cINTwGjTU0q&YUSD5dU|?Wj zVPRroVq;@tWMpJzWo2e&W@l\$-XlQ6@X=!R|YHMq2Y;0_8ZEbFDZf|dIaBy&OadC2T za&vQYbaZreb#-=jc6WDoczAeud3kzzdV70&e0+R;eSLm@et&;|fPjF3fq{a8f`fyD zgoK2Jg@uNOhKGlTh=_=ZiHVAeii?YjjEszpjg5|uj*pLzkdTm(k&%*;l9Q8@l\$4Z} zm6ev3mY0{8n3\$NEnVFiJnwy)OoSdAUot>VZo}ZteprD|kp`oIpqNAguq@<*!rKP5( zrl+T;sHmu^si~@}s;jH3tgNi9t*x%EuCK4Ju&}VPv9YqUva_?Zw6wIfwY9dkwzs#p zxVX5vxw*Q!y1To(yu7@dCU\$jHda z\$;ryf%FD~k%*@Qq&CSlv&d<-!(9qD)(b3Y<(\$mw^)YR0~)z#M4*4Nk9*x1lt)=I7_<=;-L_>FMg~>g((4 z?Ck9A?d|UF?(gsK@bK{Q@\$vHV^7Hfa^z`)g_4W4l_V@Sq`1ttw`T6?#`uqF){QUg= z{r&#_{{R2~A^sj=b8uy2bRcqJbZKuOGejU}Z*m}LWq4s|Wn^-1ZU7t;72^>hUpuvL(6DnNDu%W|;5F<*QNU@^Dix@L%+{m\$`\$B!UGiX2I@ zq{)*gQ>t9avZc\$HFk{M`NwcQSn>cgo+{v@2&!0ep3LQ\$csL`WHlPX=xw5ijlP@_tn zO0}xht5~yY-O9DA*RNp1iXBU~tl6_@)2dy|wyoQ@aO29IOSi6Fmc4r2-OINxRX)A= z@bOEyu;HPB2QN*m_psx~W%B}F{4X!\$%b2?|ZmKx5=g*)w1`bWSwCRSOPpe*C6oBj3 zuw%=fO}n=3+W=VW-YwKMP~W_R3%{BB_rK!9lPhnD+-L6Q%cDyVSsZ%K>eI7p--z5g z@qymA{)->4F#L6b=E&bYrKOhMLf5g#PrYsHmot*g-mi+G?u) zu=0o7thCmOn?|6# zs_eDgs=2L5&~_`XmfuoW?zrf3O0Bl(wwqA4mR9R7tgmL&+@La^D-pc&o(9~o_6{Ve zxdGeDZ@-`YTd-)PuBb0X2P5oYvmH&kCrBbvDv*>4OYC3A50g8Pqaly_Pik96>@i;; zb62v<6AjGkiYl*67o9afRAR\$#=4`WDE\$3^TM4DELvCluF6*R>Qj})%cNGBcTk1to< zkgHM\$w=~A<#*1OpS@&qIv%r;I-Ps\$XeVp2_t)2GUZpUplj\$xYyZ@tL^j3fTobwjoF zu|u=VT;C2x%=f\$Ux_LO^M%5hSuaD2PIO84WoG9I1D^B@cNKanszBqZlIdM^oZZt%T z|2=w?e4DwF>pGdf`rzk@%o2pMt3JC{x{nyR&Ry@\$Rqyo\$U*1r}3;\$H^sJq#GYqBek zYxGAJA7)a~OW\$Pn#~J_mQORrXy_e(9%oO+HlZgJtS4-Z\$Q{ksiI`|Cv%wkmQ%OAgc zrjkh2{_>NRQnKfvG6k?FvB4hVY\$7470PuiQdLaM\$G{MtdC4UgiiDf8g6OCE0dtH%W z2Fo(3@5y8^9%P>hc{f772*!jpb5wu8BElAa<%JwnAxt)yLlCmghW>NW!KQjB6G`FF zXcz<+5Lwo%BtmV8Hqs&ae5e*DLh*J|j9nJf(zYwUg@9CC3v9dyw93h)i)5^#t=7oK zTGge7X^f*B=Saso+VPHf%%dLn\$j3hV@sEHEq#y@L\$U++OkcdpAA{WWXMmlnJJbdKr z0CPl1j&4;_*^DJCBN%*XM>3vdie4i5\$WexJI+~OU\$sD;#{Iv0vu\$;|78m35)(b7P0 z{MvI4(#k+4upqsJkLS=B#zl5zPrQZ0gbgwiI+Ry-\$#Ss>JjW6{ta#kFR(NG3_1I zTQpT_RKe3a;XSpfJr(Bj(w4f_T{Uwr&8eE03NyleRd89&k4&l8x3lUkt>ej&Z@?%u zw>Ax~+ewi#%ZDzzTFs!+u@G5DDlxy76{+G;&|s<7uf^I9s)=QlPW#s`!wL{h~SH~4-OK=Xa??^L^-^Y(UG>V+(RdFx&P+c&B5Wubxh zTi)Sp\$-73MKXyzTw4ZB5)J4KFu^yP@xQ1-4pL`FN|`EwXTgyuu6bGsGtq*btYTV;UPI zxr;h7Ua`Cy{}z}azkPCw1m zC7bKMN_)RQ=\$Hn__4rvW5`s3B`N{_g\$kU^(rwxYhUcx?1Cia&6z+#&o{l z)\$eK3i#vE4P^K&FZ}e0=z6K{W!2Tx=aU4VJ>c_U<3J=lO)NESMXTIjb# zmeqGuIC>J*Z9wE#7WiT9@p&mzZdDjiXJ}>HnfPCqI5uBqgM`?LYjt=*m};&>TaJifuK0?uwNpcQaOcx}!}ez_h>N*c zj8dUj7}QSx5`m)jhs213Uh#7\$v4oPwi3hT2_q1%oxLlb8WH&X4^HycMXMlBKiLq#O zn|NZ><#t#>G6SMdPnV5-F@Fola3554R}p4e1diSZZ}jtyg`tnvM~ut1Ld9i#PjO3e zS8%gvV+ki0@K<*3V?z4JH1BjM2q{WT=YH75XBqhxi|BEsBW@LmaFN\$tABjJx_*n`h zbXPBQ*hyd zlA6dtE2ktoNr{aUYJyH#3pqFM12epQ*1wYHSH_>\$PBl>`Ze+^9ydHYY8qi^dp* zpIDI12900Dkvi5I8bx;#nTl4~dbl%qVTqG|iIzM\$7tTnSQK^_zVi6qZyo1!U}4v0C4_KX~ZfL-=gYB@5?7n~30fy@b) z+5TypH+Nj#SRq9iZ+bzLw~0^Kd6S>XoymqAB9MtiQ2Fz2a`~5^ ziE~bv7I*l7d\$pm&IV}?Eq4znT+M;@aSUGcLqV(CBKsa)CSD?+JdLhZ8|L2qHSQb4~ zoD-TLI%5KGdDPh_(fr@Hl zrKe|E8GAFTQ01g*lcSZ2Sb>R{6cL}(s9-cYkzjJFz~`3{C?XzKoBwl|blGdZ`m5ro zG&xyfF6I#5385}^g;aW{11gJOajCWiZVl0%<0vxJN;b1vlzYjgLCFxfDwKnYUVb;O z=i+5%aZLfDpbWXE\$A*aQM4kyEs?0j2eTfhlI%n;}Jc*L5(CU%=8n2P*b;{~L1bcF^ zb&ywiq9=E)12jJdC+ zY5;n=T}m^hM?j1hn_bruz881v2fUh-f>n#7*J-%+II_)XM;ZQWuenNbXB)gJ8=yJ3 zgZ=2eVJn0mCr?OtH14WyODkE{\$+Fway64)dc@%;Is&g#)n\$H@)=-Wqb`Kd{!ujD9K z!uXcZi?@C>nf_ZD`)RbaE4^JPs6u+A2fVA@IVu3WrS6M~9y>h&IF(=(uu6%(y}CX_ zmAd1!tUIN\$*qei}>7\$AIzPE<0YqzuF%fd2zVpL+n+_Hs0#fsW^R&2Ggh{PmIBDe(V zXZu4u(aI4uSH\$T{AuT*@IH\$XR+nDI8WFnEaAk?+Bbic%TH!Hk1D%hftdwx9E%!~XNaR1M0;ZCt=KxQt+9Hc#9l zQ(KC}YRHAgei#VIg=L;roTNm8a+K^bYW#zVnaPW6Go9?o`#Ph{70RN_G1D2wfK\$UH zT70EkH95ktc?`?{8p192wvx8V+=OP~%d{d#yr>*DB80\$%?4h`3%k{dxRGi4W\$IFQn zPw)!K(ThOP+{LG8k`WxXiG0n*6w4T#u)qwl%6!T)HNNAF!tqzmnaaMcyv>Ddwd`!V zuADiWo6hPp%*qpo5lVH{dBgyv&-+ZrwP_tlcgqMh&&H!NgB)E5-J=TKdob6)0B0Us ztHO;O(Kn&R*_4P_*miw6h624hb{nf&iD=)eb