[Gmsh] Transfinite line algorithm
Martin Vymazal
martin.vymazal at vki.ac.be
Wed Jul 29 00:41:47 CEST 2009
Dear gmsh users,
I'm trying to generate a second order (P2) unstructured mesh around
a symmetric airfoil. I managed to create a mesh which is fine so far,
but I would like to control precisely the number of points on the
airfoil. To make things a bit more complicated, I'd also like to have
more points close to the leading and trailing edges of the airfoil. I
thought I could use the transfinite algorithm with 'progression' or
'bump' options, but the progression gives me a bad mesh for a
progression ratio which is not close to 1.0 (I attached my *.geo
files, progression 1.3 at the end of the naca0012 geo file already
gives strange results. It seems that gmsh calculates the lengths of
the lines on the wall of the airfoil incorrectly (not precisely
enough?). I hoped I could somehow set the precision with which the
spline representing the wall of the airfoil is meshed and thus fix the
problem, but found nothing relevant in the documentation.
On the other hand, the 'bump' option seems to have no effect
whatever value I use (I tried values between 0.5 and 3.5, but I must
admit I don't know what this number actually means).
I'd appreciate any help/hints or at least an info whether this can
be done in gmsh or not.
Thank you very much,
Martin Vymazal
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-------------- next part --------------
/*********************************************************************
*
* Geometry for mesh of NACA0012 airfoil
*
* Points of airfoil surface were defined in included file
* 'points.geo'
* Here we define farfield and characteristic lenghts
* in the domain
*
*********************************************************************/
Geometry.Tolerance = 1e-10;
Include "points.geo";
PI = 3.14159265358979323846;
///Set your number of farfield points. This number should be EVEN
nb_farfield_pts = 20;
//characteristic length of farfield points
lc_ff = 50.0;
R = 50; //Radius of farfield
dphi = 2*PI/nb_farfield_pts;
//Points defining farfield:
For iFPt In {1:nb_farfield_pts}
Point(nb_airfoil_pts+iFPt) = {R*Cos((iFPt-1)*dphi), R*Sin((iFPt-1)*dphi), 0.0, lc_ff};
EndFor
//Airfoil surface:
Spline(1) = {le_idx:te_idx:-1};
Spline(2) = {1,nb_airfoil_pts:le_idx:-1};
Physical Line( "UpperAirfoil" ) = {1};
Physical Line( "LowerAirfoil" ) = {2};
//Farfield:
Spline(3) = {nb_airfoil_pts+1:nb_airfoil_pts+nb_farfield_pts, nb_airfoil_pts+1};
Physical Line( "FField" ) = {3};
Line Loop(1) = {3};
Line Loop(2) = {1,2};
Plane Surface(1) = {1,2};
Physical Surface( "InnerCells" ) = {1};
//Refinement around the airfoil:
Point(5000) = {0.0, 0.0, 0.0, lc};
Point(5001) = {1.0, 0.0, 0.0, lc};
// Point(6000) = {0.5, 0.0, 0.0, 0.05};
LCMAX = 8.0;
//Leading edge:
Field[0] = Attractor;
Field[0].NodesList = { 5000 };
//Leading edge:
Field[1] = Attractor;
Field[1].NodesList = { 5001 };
//Suction and pressure and sides of the airfoil:
Field[2] = Attractor;
Field[2].EdgesList = { 1, 2 };
// Field[2].NodesList = { 6000 };
//Linearly increasing element size through the whole domain:
Field[3] = MathEval;
Field[3].F = "0.01 + 0.45*(x^2+y^2)^(0.5)*(20-0.01)/30";
Field[4] = MathEval;
Field[4].F = "0.01 + 0.45*((x-1)^2+y^2)^(0.5)*(20-0.01)/30";
//Refinement around leading edge:
Field[5] = MathEval;
Field[5].F = "0.005 + 1.9*(x^2+y^2)^1.1";
//Refinement around trailing edge:
Field[6] = MathEval;
Field[6].F = "0.007 + 1.9*((x-1)^2+y^2)^1.1";
// Local refinement near the airfoil:
Field[7] = Threshold;
Field[7].IField = 2;
Field[7].DistMin = 0.2;
Field[7].DistMax = 3.5;
Field[7].LcMin = 0.02;
Field[7].LcMax = 20.0;
Field[7].Sigmoid = 1;
Field[10] = Min;
Field[10].FieldsList = { 3,4,5,6,7 };
Background Field = 10;
//Transfinite Line{1,2} = 80 Using Bump 0.5;
Transfinite Line{1} = 80 Using Progression 1.1;
Transfinite Line{2} = 80 Using Progression 1.0/1.1;
Transfinite Line{3} = 25;
-------------- next part --------------
/*********************************************************************
*
* Points on the surface of NACA0012 airfoil
*
* We define characteristic length of points and some
* auxiliary variables:
* number of points on the airfoil, index of leading edge and index
* of trailing edge
*
*********************************************************************/
lc = 0.05;
//Naca0012: points that define geometry
Point(1) = {1.0090000000e+00, 0.0000000000e+00, 0.0, lc};
Point(2) = {1.0088000000e+00, 1.8500851564e-05, 0.0, lc};
Point(3) = {1.0086000000e+00, 4.6868066415e-05, 0.0, lc};
Point(4) = {1.0084000000e+00, 7.5228200126e-05, 0.0, lc};
Point(5) = {1.0082000000e+00, 1.0358125578e-04, 0.0, lc};
Point(6) = {1.0080000000e+00, 1.3192723645e-04, 0.0, lc};
Point(7) = {1.0078000000e+00, 1.6026614522e-04, 0.0, lc};
Point(8) = {1.0076000000e+00, 1.8859798515e-04, 0.0, lc};
Point(9) = {1.0074000000e+00, 2.1692275933e-04, 0.0, lc};
Point(10) = {1.0072000000e+00, 2.4524047081e-04, 0.0, lc};
Point(11) = {1.0070000000e+00, 2.7355112267e-04, 0.0, lc};
Point(12) = {1.0068000000e+00, 3.0185471796e-04, 0.0, lc};
Point(13) = {1.0066000000e+00, 3.3015125975e-04, 0.0, lc};
Point(14) = {1.0064000000e+00, 3.5844075110e-04, 0.0, lc};
Point(15) = {1.0062000000e+00, 3.8672319505e-04, 0.0, lc};
Point(16) = {1.0060000000e+00, 4.1499859466e-04, 0.0, lc};
Point(17) = {1.0058000000e+00, 4.4326695299e-04, 0.0, lc};
Point(18) = {1.0056000000e+00, 4.7152827308e-04, 0.0, lc};
Point(19) = {1.0054000000e+00, 4.9978255797e-04, 0.0, lc};
Point(20) = {1.0052000000e+00, 5.2802981070e-04, 0.0, lc};
Point(21) = {1.0050000000e+00, 5.5627003432e-04, 0.0, lc};
Point(22) = {1.0048000000e+00, 5.8450323187e-04, 0.0, lc};
Point(23) = {1.0046000000e+00, 6.1272940637e-04, 0.0, lc};
Point(24) = {1.0044000000e+00, 6.4094856086e-04, 0.0, lc};
Point(25) = {1.0042000000e+00, 6.6916069836e-04, 0.0, lc};
Point(26) = {1.0040000000e+00, 6.9736582191e-04, 0.0, lc};
Point(27) = {1.0038000000e+00, 7.2556393453e-04, 0.0, lc};
Point(28) = {1.0036000000e+00, 7.5375503924e-04, 0.0, lc};
Point(29) = {1.0034000000e+00, 7.8193913906e-04, 0.0, lc};
Point(30) = {1.0032000000e+00, 8.1011623700e-04, 0.0, lc};
Point(31) = {1.0030000000e+00, 8.3828633608e-04, 0.0, lc};
Point(32) = {1.0028000000e+00, 8.6644943930e-04, 0.0, lc};
Point(33) = {1.0026000000e+00, 8.9460554969e-04, 0.0, lc};
Point(34) = {1.0024000000e+00, 9.2275467023e-04, 0.0, lc};
Point(35) = {1.0022000000e+00, 9.5089680395e-04, 0.0, lc};
Point(36) = {1.0020000000e+00, 9.7903195382e-04, 0.0, lc};
Point(37) = {1.0018000000e+00, 1.0071601229e-03, 0.0, lc};
Point(38) = {1.0016000000e+00, 1.0352813141e-03, 0.0, lc};
Point(39) = {1.0014000000e+00, 1.0633955304e-03, 0.0, lc};
Point(40) = {1.0012000000e+00, 1.0915027749e-03, 0.0, lc};
Point(41) = {1.0010000000e+00, 1.1196030505e-03, 0.0, lc};
Point(42) = {1.0008000000e+00, 1.1476963603e-03, 0.0, lc};
Point(43) = {1.0006000000e+00, 1.1757827071e-03, 0.0, lc};
Point(44) = {1.0004000000e+00, 1.2038620940e-03, 0.0, lc};
Point(45) = {1.0002000000e+00, 1.2319345240e-03, 0.0, lc};
Point(46) = {1.0000000000e+00, 1.2600000000e-03, 0.0, lc};
Point(47) = {9.9980000000e-01, 1.2880585250e-03, 0.0, lc};
Point(48) = {9.9960000000e-01, 1.3161101020e-03, 0.0, lc};
Point(49) = {9.9940000000e-01, 1.3441547339e-03, 0.0, lc};
Point(50) = {9.9920000000e-01, 1.3721924237e-03, 0.0, lc};
Point(51) = {9.9900000000e-01, 1.4002231743e-03, 0.0, lc};
Point(52) = {9.9880000000e-01, 1.4282469888e-03, 0.0, lc};
Point(53) = {9.9860000000e-01, 1.4562638701e-03, 0.0, lc};
Point(54) = {9.9840000000e-01, 1.4842738210e-03, 0.0, lc};
Point(55) = {9.9820000000e-01, 1.5122768447e-03, 0.0, lc};
Point(56) = {9.9800000000e-01, 1.5402729440e-03, 0.0, lc};
Point(57) = {9.9780000000e-01, 1.5682621219e-03, 0.0, lc};
Point(58) = {9.9760000000e-01, 1.5962443813e-03, 0.0, lc};
Point(59) = {9.9740000000e-01, 1.6242197251e-03, 0.0, lc};
Point(60) = {9.9719254080e-01, 1.6532311333e-03, 0.0, lc};
Point(61) = {9.9696857461e-01, 1.6845425586e-03, 0.0, lc};
Point(62) = {9.9672679574e-01, 1.7183345509e-03, 0.0, lc};
Point(63) = {9.9646579651e-01, 1.7548015364e-03, 0.0, lc};
Point(64) = {9.9618405948e-01, 1.7941528350e-03, 0.0, lc};
Point(65) = {9.9587994915e-01, 1.8366137438e-03, 0.0, lc};
Point(66) = {9.9555170307e-01, 1.8824266903e-03, 0.0, lc};
Point(67) = {9.9519742230e-01, 1.9318524574e-03, 0.0, lc};
Point(68) = {9.9481506126e-01, 1.9851714833e-03, 0.0, lc};
Point(69) = {9.9440241685e-01, 2.0426852383e-03, 0.0, lc};
Point(70) = {9.9395711684e-01, 2.1047176804e-03, 0.0, lc};
Point(71) = {9.9347660750e-01, 2.1716167916e-03, 0.0, lc};
Point(72) = {9.9295814047e-01, 2.2437561951e-03, 0.0, lc};
Point(73) = {9.9239875873e-01, 2.3215368543e-03, 0.0, lc};
Point(74) = {9.9179528174e-01, 2.4053888519e-03, 0.0, lc};
Point(75) = {9.9114428967e-01, 2.4957732477e-03, 0.0, lc};
Point(76) = {9.9044210673e-01, 2.5931840116e-03, 0.0, lc};
Point(77) = {9.8968478354e-01, 2.6981500275e-03, 0.0, lc};
Point(78) = {9.8886807851e-01, 2.8112371599e-03, 0.0, lc};
Point(79) = {9.8798743837e-01, 2.9330503754e-03, 0.0, lc};
Point(80) = {9.8703797757e-01, 3.0642359072e-03, 0.0, lc};
Point(81) = {9.8601445690e-01, 3.2054834477e-03, 0.0, lc};
Point(82) = {9.8491126108e-01, 3.3575283506e-03, 0.0, lc};
Point(83) = {9.8372237557e-01, 3.5211538215e-03, 0.0, lc};
Point(84) = {9.8244136250e-01, 3.6971930698e-03, 0.0, lc};
Point(85) = {9.8106133596e-01, 3.8865313896e-03, 0.0, lc};
Point(86) = {9.7957493668e-01, 4.0901081328e-03, 0.0, lc};
Point(87) = {9.7797430627e-01, 4.3089185314e-03, 0.0, lc};
Point(88) = {9.7625106127e-01, 4.5440153162e-03, 0.0, lc};
Point(89) = {9.7439626714e-01, 4.7965100754e-03, 0.0, lc};
Point(90) = {9.7240041260e-01, 5.0675742850e-03, 0.0, lc};
Point(91) = {9.7025338458e-01, 5.3584399365e-03, 0.0, lc};
Point(92) = {9.6794444424e-01, 5.6703996758e-03, 0.0, lc};
Point(93) = {9.6546220447e-01, 6.0048063588e-03, 0.0, lc};
Point(94) = {9.6279460957e-01, 6.3630719193e-03, 0.0, lc};
Point(95) = {9.5992891763e-01, 6.7466654331e-03, 0.0, lc};
Point(96) = {9.5685168637e-01, 7.1571102534e-03, 0.0, lc};
Point(97) = {9.5354876344e-01, 7.5959800846e-03, 0.0, lc};
Point(98) = {9.5000528190e-01, 8.0648938494e-03, 0.0, lc};
Point(99) = {9.4620566220e-01, 8.5655092013e-03, 0.0, lc};
Point(100) = {9.4213362164e-01, 9.0995145269e-03, 0.0, lc};
Point(101) = {9.3777219279e-01, 9.6686192805e-03, 0.0, lc};
Point(102) = {9.3310375221e-01, 1.0274542495e-02, 0.0, lc};
Point(103) = {9.2811006102e-01, 1.0918999314e-02, 0.0, lc};
Point(104) = {9.2277231897e-01, 1.1603685408e-02, 0.0, lc};
Point(105) = {9.1707123367e-01, 1.2330259136e-02, 0.0, lc};
Point(106) = {9.1098710678e-01, 1.3100321348e-02, 0.0, lc};
Point(107) = {9.0449993894e-01, 1.3915392749e-02, 0.0, lc};
Point(108) = {8.9758955499e-01, 1.4776888754e-02, 0.0, lc};
Point(109) = {8.9023575133e-01, 1.5686091839e-02, 0.0, lc};
Point(110) = {8.8241846666e-01, 1.6644121409e-02, 0.0, lc};
Point(111) = {8.7411797735e-01, 1.7651901263e-02, 0.0, lc};
Point(112) = {8.6531511823e-01, 1.8710124783e-02, 0.0, lc};
Point(113) = {8.5599152907e-01, 1.9819218072e-02, 0.0, lc};
Point(114) = {8.4612992658e-01, 2.0979301265e-02, 0.0, lc};
Point(115) = {8.3571440066e-01, 2.2190148380e-02, 0.0, lc};
Point(116) = {8.2473073337e-01, 2.3451146094e-02, 0.0, lc};
Point(117) = {8.1316673730e-01, 2.4761251952e-02, 0.0, lc};
Point(118) = {8.0101260973e-01, 2.6118952572e-02, 0.0, lc};
Point(119) = {7.8826129703e-01, 2.7522222548e-02, 0.0, lc};
Point(120) = {7.7490886306e-01, 2.8968484835e-02, 0.0, lc};
Point(121) = {7.6095485369e-01, 3.0454573552e-02, 0.0, lc};
Point(122) = {7.4640264855e-01, 3.1976700299e-02, 0.0, lc};
Point(123) = {7.3125978976e-01, 3.3530425245e-02, 0.0, lc};
Point(124) = {7.1553827699e-01, 3.5110634455e-02, 0.0, lc};
Point(125) = {6.9925481690e-01, 3.6711525119e-02, 0.0, lc};
Point(126) = {6.8243101547e-01, 3.8326600554e-02, 0.0, lc};
Point(127) = {6.6509350150e-01, 3.9948677019e-02, 0.0, lc};
Point(128) = {6.4727397064e-01, 4.1569904474e-02, 0.0, lc};
Point(129) = {6.2900914043e-01, 4.3181803456e-02, 0.0, lc};
Point(130) = {6.1034060910e-01, 4.4775320065e-02, 0.0, lc};
Point(131) = {5.9131461310e-01, 4.6340900759e-02, 0.0, lc};
Point(132) = {5.7198168178e-01, 4.7868588096e-02, 0.0, lc};
Point(133) = {5.5239619078e-01, 4.9348137794e-02, 0.0, lc};
Point(134) = {5.3261581965e-01, 5.0769156469e-02, 0.0, lc};
Point(135) = {5.1270092298e-01, 5.2121258219e-02, 0.0, lc};
Point(136) = {4.9271382806e-01, 5.3394236929e-02, 0.0, lc};
Point(137) = {4.7271807512e-01, 5.4578249805e-02, 0.0, lc};
Point(138) = {4.5277761940e-01, 5.5664006485e-02, 0.0, lc};
Point(139) = {4.3295601566e-01, 5.6642957012e-02, 0.0, lc};
Point(140) = {4.1331560732e-01, 5.7507471403e-02, 0.0, lc};
Point(141) = {3.9391674204e-01, 5.8251003300e-02, 0.0, lc};
Point(142) = {3.7481703465e-01, 5.8868230582e-02, 0.0, lc};
Point(143) = {3.5607069663e-01, 5.9355166649e-02, 0.0, lc};
Point(144) = {3.3772794818e-01, 5.9709237414e-02, 0.0, lc};
Point(145) = {3.1983452569e-01, 5.9929320734e-02, 0.0, lc};
Point(146) = {3.0243129354e-01, 6.0015746954e-02, 0.0, lc};
Point(147) = {2.8555396504e-01, 5.9970261187e-02, 0.0, lc};
Point(148) = {2.6923293319e-01, 5.9795949889e-02, 0.0, lc};
Point(149) = {2.5349320832e-01, 5.9497135900e-02, 0.0, lc};
Point(150) = {2.3835445619e-01, 5.9079247445e-02, 0.0, lc};
Point(151) = {2.2383112744e-01, 5.8548667410e-02, 0.0, lc};
Point(152) = {2.0993266713e-01, 5.7912569647e-02, 0.0, lc};
Point(153) = {1.9666379174e-01, 5.7178749000e-02, 0.0, lc};
Point(154) = {1.8402482016e-01, 5.6355451334e-02, 0.0, lc};
Point(155) = {1.7201204530e-01, 5.5451209137e-02, 0.0, lc};
Point(156) = {1.6061813317e-01, 5.4474687322e-02, 0.0, lc};
Point(157) = {1.4983253730e-01, 5.3434542807e-02, 0.0, lc};
Point(158) = {1.3964191745e-01, 5.2339300395e-02, 0.0, lc};
Point(159) = {1.3003055326e-01, 5.1197246420e-02, 0.0, lc};
Point(160) = {1.2098074459e-01, 5.0016340744e-02, 0.0, lc};
Point(161) = {1.1247319226e-01, 4.8804146841e-02, 0.0, lc};
Point(162) = {1.0448735440e-01, 4.7567779138e-02, 0.0, lc};
Point(163) = {9.7001774627e-02, 4.6313866264e-02, 0.0, lc};
Point(164) = {9.3498077413e-02, 4.5692804585e-02, 0.0, lc};
Point(165) = {9.0107829936e-02, 4.5069765612e-02, 0.0, lc};
Point(166) = {8.6828293579e-02, 4.4445397966e-02, 0.0, lc};
Point(167) = {8.3656727939e-02, 4.3820319444e-02, 0.0, lc};
Point(168) = {8.0590396746e-02, 4.3195117311e-02, 0.0, lc};
Point(169) = {7.7626573358e-02, 4.2570348684e-02, 0.0, lc};
Point(170) = {7.4762545820e-02, 4.1946541024e-02, 0.0, lc};
Point(171) = {7.1995621517e-02, 4.1324192696e-02, 0.0, lc};
Point(172) = {6.9323131437e-02, 4.0703773607e-02, 0.0, lc};
Point(173) = {6.6742434042e-02, 4.0085725906e-02, 0.0, lc};
Point(174) = {6.4250918780e-02, 3.9470464730e-02, 0.0, lc};
Point(175) = {6.1846009252e-02, 3.8858378995e-02, 0.0, lc};
Point(176) = {5.9525166036e-02, 3.8249832220e-02, 0.0, lc};
Point(177) = {5.7285889210e-02, 3.7645163374e-02, 0.0, lc};
Point(178) = {5.5125720566e-02, 3.7044687749e-02, 0.0, lc};
Point(179) = {5.3042245546e-02, 3.6448697838e-02, 0.0, lc};
Point(180) = {5.1033094917e-02, 3.5857464224e-02, 0.0, lc};
Point(181) = {4.9095946191e-02, 3.5271236468e-02, 0.0, lc};
Point(182) = {4.8162235506e-02, 3.4982740312e-02, 0.0, lc};
Point(183) = {4.7245382814e-02, 3.4695561071e-02, 0.0, lc};
Point(184) = {4.6345117682e-02, 3.4409723559e-02, 0.0, lc};
Point(185) = {4.5461172727e-02, 3.4125251481e-02, 0.0, lc};
Point(186) = {4.4593283637e-02, 3.3842167461e-02, 0.0, lc};
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Point(637) = {6.9925481690e-01, -3.6711525119e-02, 0.0, lc};
Point(638) = {7.1553827699e-01, -3.5110634455e-02, 0.0, lc};
Point(639) = {7.3125978976e-01, -3.3530425245e-02, 0.0, lc};
Point(640) = {7.4640264855e-01, -3.1976700299e-02, 0.0, lc};
Point(641) = {7.6095485369e-01, -3.0454573552e-02, 0.0, lc};
Point(642) = {7.7490886306e-01, -2.8968484835e-02, 0.0, lc};
Point(643) = {7.8826129703e-01, -2.7522222548e-02, 0.0, lc};
Point(644) = {8.0101260973e-01, -2.6118952572e-02, 0.0, lc};
Point(645) = {8.1316673730e-01, -2.4761251952e-02, 0.0, lc};
Point(646) = {8.2473073337e-01, -2.3451146094e-02, 0.0, lc};
Point(647) = {8.3571440066e-01, -2.2190148380e-02, 0.0, lc};
Point(648) = {8.4612992658e-01, -2.0979301265e-02, 0.0, lc};
Point(649) = {8.5599152907e-01, -1.9819218072e-02, 0.0, lc};
Point(650) = {8.6531511823e-01, -1.8710124783e-02, 0.0, lc};
Point(651) = {8.7411797735e-01, -1.7651901263e-02, 0.0, lc};
Point(652) = {8.8241846666e-01, -1.6644121409e-02, 0.0, lc};
Point(653) = {8.9023575133e-01, -1.5686091839e-02, 0.0, lc};
Point(654) = {8.9758955499e-01, -1.4776888754e-02, 0.0, lc};
Point(655) = {9.0449993894e-01, -1.3915392749e-02, 0.0, lc};
Point(656) = {9.1098710678e-01, -1.3100321348e-02, 0.0, lc};
Point(657) = {9.1707123367e-01, -1.2330259136e-02, 0.0, lc};
Point(658) = {9.2277231897e-01, -1.1603685408e-02, 0.0, lc};
Point(659) = {9.2811006102e-01, -1.0918999314e-02, 0.0, lc};
Point(660) = {9.3310375221e-01, -1.0274542495e-02, 0.0, lc};
Point(661) = {9.3777219279e-01, -9.6686192805e-03, 0.0, lc};
Point(662) = {9.4213362164e-01, -9.0995145269e-03, 0.0, lc};
Point(663) = {9.4620566220e-01, -8.5655092013e-03, 0.0, lc};
Point(664) = {9.5000528190e-01, -8.0648938494e-03, 0.0, lc};
Point(665) = {9.5354876344e-01, -7.5959800846e-03, 0.0, lc};
Point(666) = {9.5685168637e-01, -7.1571102534e-03, 0.0, lc};
Point(667) = {9.5992891763e-01, -6.7466654331e-03, 0.0, lc};
Point(668) = {9.6279460957e-01, -6.3630719193e-03, 0.0, lc};
Point(669) = {9.6546220447e-01, -6.0048063588e-03, 0.0, lc};
Point(670) = {9.6794444424e-01, -5.6703996758e-03, 0.0, lc};
Point(671) = {9.7025338458e-01, -5.3584399365e-03, 0.0, lc};
Point(672) = {9.7240041260e-01, -5.0675742850e-03, 0.0, lc};
Point(673) = {9.7439626714e-01, -4.7965100754e-03, 0.0, lc};
Point(674) = {9.7625106127e-01, -4.5440153162e-03, 0.0, lc};
Point(675) = {9.7797430627e-01, -4.3089185314e-03, 0.0, lc};
Point(676) = {9.7957493668e-01, -4.0901081328e-03, 0.0, lc};
Point(677) = {9.8106133596e-01, -3.8865313896e-03, 0.0, lc};
Point(678) = {9.8244136250e-01, -3.6971930698e-03, 0.0, lc};
Point(679) = {9.8372237557e-01, -3.5211538215e-03, 0.0, lc};
Point(680) = {9.8491126108e-01, -3.3575283506e-03, 0.0, lc};
Point(681) = {9.8601445690e-01, -3.2054834477e-03, 0.0, lc};
Point(682) = {9.8703797757e-01, -3.0642359072e-03, 0.0, lc};
Point(683) = {9.8798743837e-01, -2.9330503754e-03, 0.0, lc};
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Point(685) = {9.8968478354e-01, -2.6981500275e-03, 0.0, lc};
Point(686) = {9.9044210673e-01, -2.5931840116e-03, 0.0, lc};
Point(687) = {9.9114428967e-01, -2.4957732477e-03, 0.0, lc};
Point(688) = {9.9179528174e-01, -2.4053888519e-03, 0.0, lc};
Point(689) = {9.9239875873e-01, -2.3215368543e-03, 0.0, lc};
Point(690) = {9.9295814047e-01, -2.2437561951e-03, 0.0, lc};
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Point(692) = {9.9395711684e-01, -2.1047176804e-03, 0.0, lc};
Point(693) = {9.9440241685e-01, -2.0426852383e-03, 0.0, lc};
Point(694) = {9.9481506126e-01, -1.9851714833e-03, 0.0, lc};
Point(695) = {9.9519742230e-01, -1.9318524574e-03, 0.0, lc};
Point(696) = {9.9555170307e-01, -1.8824266903e-03, 0.0, lc};
Point(697) = {9.9587994915e-01, -1.8366137438e-03, 0.0, lc};
Point(698) = {9.9618405948e-01, -1.7941528350e-03, 0.0, lc};
Point(699) = {9.9646579651e-01, -1.7548015364e-03, 0.0, lc};
Point(700) = {9.9672679574e-01, -1.7183345509e-03, 0.0, lc};
Point(701) = {9.9696857461e-01, -1.6845425586e-03, 0.0, lc};
Point(702) = {9.9719254080e-01, -1.6532311333e-03, 0.0, lc};
Point(703) = {9.9740000000e-01, -1.6242197251e-03, 0.0, lc};
Point(704) = {9.9760000000e-01, -1.5962443813e-03, 0.0, lc};
Point(705) = {9.9780000000e-01, -1.5682621219e-03, 0.0, lc};
Point(706) = {9.9800000000e-01, -1.5402729440e-03, 0.0, lc};
Point(707) = {9.9820000000e-01, -1.5122768447e-03, 0.0, lc};
Point(708) = {9.9840000000e-01, -1.4842738210e-03, 0.0, lc};
Point(709) = {9.9860000000e-01, -1.4562638701e-03, 0.0, lc};
Point(710) = {9.9880000000e-01, -1.4282469888e-03, 0.0, lc};
Point(711) = {9.9900000000e-01, -1.4002231743e-03, 0.0, lc};
Point(712) = {9.9920000000e-01, -1.3721924237e-03, 0.0, lc};
Point(713) = {9.9940000000e-01, -1.3441547339e-03, 0.0, lc};
Point(714) = {9.9960000000e-01, -1.3161101020e-03, 0.0, lc};
Point(715) = {9.9980000000e-01, -1.2880585250e-03, 0.0, lc};
Point(716) = {1.0000000000e+00, -1.2600000000e-03, 0.0, lc};
Point(717) = {1.0002000000e+00, -1.2319345240e-03, 0.0, lc};
Point(718) = {1.0004000000e+00, -1.2038620940e-03, 0.0, lc};
Point(719) = {1.0006000000e+00, -1.1757827071e-03, 0.0, lc};
Point(720) = {1.0008000000e+00, -1.1476963603e-03, 0.0, lc};
Point(721) = {1.0010000000e+00, -1.1196030505e-03, 0.0, lc};
Point(722) = {1.0012000000e+00, -1.0915027749e-03, 0.0, lc};
Point(723) = {1.0014000000e+00, -1.0633955304e-03, 0.0, lc};
Point(724) = {1.0016000000e+00, -1.0352813141e-03, 0.0, lc};
Point(725) = {1.0018000000e+00, -1.0071601229e-03, 0.0, lc};
Point(726) = {1.0020000000e+00, -9.7903195382e-04, 0.0, lc};
Point(727) = {1.0022000000e+00, -9.5089680395e-04, 0.0, lc};
Point(728) = {1.0024000000e+00, -9.2275467023e-04, 0.0, lc};
Point(729) = {1.0026000000e+00, -8.9460554969e-04, 0.0, lc};
Point(730) = {1.0028000000e+00, -8.6644943930e-04, 0.0, lc};
Point(731) = {1.0030000000e+00, -8.3828633608e-04, 0.0, lc};
Point(732) = {1.0032000000e+00, -8.1011623700e-04, 0.0, lc};
Point(733) = {1.0034000000e+00, -7.8193913906e-04, 0.0, lc};
Point(734) = {1.0036000000e+00, -7.5375503924e-04, 0.0, lc};
Point(735) = {1.0038000000e+00, -7.2556393453e-04, 0.0, lc};
Point(736) = {1.0040000000e+00, -6.9736582191e-04, 0.0, lc};
Point(737) = {1.0042000000e+00, -6.6916069836e-04, 0.0, lc};
Point(738) = {1.0044000000e+00, -6.4094856086e-04, 0.0, lc};
Point(739) = {1.0046000000e+00, -6.1272940637e-04, 0.0, lc};
Point(740) = {1.0048000000e+00, -5.8450323187e-04, 0.0, lc};
Point(741) = {1.0050000000e+00, -5.5627003432e-04, 0.0, lc};
Point(742) = {1.0052000000e+00, -5.2802981070e-04, 0.0, lc};
Point(743) = {1.0054000000e+00, -4.9978255797e-04, 0.0, lc};
Point(744) = {1.0056000000e+00, -4.7152827308e-04, 0.0, lc};
Point(745) = {1.0058000000e+00, -4.4326695299e-04, 0.0, lc};
Point(746) = {1.0060000000e+00, -4.1499859466e-04, 0.0, lc};
Point(747) = {1.0062000000e+00, -3.8672319505e-04, 0.0, lc};
Point(748) = {1.0064000000e+00, -3.5844075110e-04, 0.0, lc};
Point(749) = {1.0066000000e+00, -3.3015125975e-04, 0.0, lc};
Point(750) = {1.0068000000e+00, -3.0185471796e-04, 0.0, lc};
Point(751) = {1.0070000000e+00, -2.7355112267e-04, 0.0, lc};
Point(752) = {1.0072000000e+00, -2.4524047081e-04, 0.0, lc};
Point(753) = {1.0074000000e+00, -2.1692275933e-04, 0.0, lc};
Point(754) = {1.0076000000e+00, -1.8859798515e-04, 0.0, lc};
Point(755) = {1.0078000000e+00, -1.6026614522e-04, 0.0, lc};
Point(756) = {1.0080000000e+00, -1.3192723645e-04, 0.0, lc};
Point(757) = {1.0082000000e+00, -1.0358125578e-04, 0.0, lc};
Point(758) = {1.0084000000e+00, -7.5228200126e-05, 0.0, lc};
Point(759) = {1.0086000000e+00, -4.6868066415e-05, 0.0, lc};
Point(760) = {1.0088000000e+00, -1.8500851564e-05, 0.0, lc};
te_idx = 1;
le_idx = 381;
nb_airfoil_pts = 760;