15 October 2006 12:51:17.706 PM MHD_FLOW: Solution of the incompressible time-dependent 2D Navier-Stokes equations, coupled with a magnetic field. CP = 1.00000 Coupling DT = 0.250000E-01 Initial time step NX = 9 Elements/width NY = 9 Elements/height REY_MAG = 1.00000 Reynolds number REYNOLD = 1.00000 Reynolds number TIME_STEP_MAX = 40 Number of time steps XLENGTH = 1.00000 Domain width YLENGTH = 1.00000 Domain height NODE_NUM = 289 Node coordinates written to "xy.txt". ELEMENT_NUM = 128 Elements written to "elements.txt". inflow boundary conditions: u quadratic from 0 to 0.250000000000000 outflow boundary conditions: grad u dot n=0 from 0.750000000000000 to 1.00000000000000 U = 0 elsewhere V = 0 everywhere B dot N = 0 (essential) curl B cross N = 0 (natural) Number of nodes is 289 Number of elements is 128 Number of unknowns is 1045 Bandwidth is 293 T = 0.250000E-01 Iter L2(Diff) Max index Max val 1 1.00000 4 36.3246 2 0.946999E-02 4 0.384265 3 0.242722E-04 7 0.925813E-03 4 0.160383E-09 1042 0.608587E-08 The Newton iteration has converged. T = 0.500000E-01 Iter L2(Diff) Max index Max val 1 0.679935 4 10.9169 2 0.986835E-03 556 0.170595E-01 3 0.975472E-05 1037 0.135703E-03 4 0.787644E-10 1042 0.174846E-08 The Newton iteration has converged. T = 0.750000E-01 Iter L2(Diff) Max index Max val 1 0.242875E-01 1042 0.132306 2 0.800918E-03 556 0.139012E-01 3 0.749964E-05 1037 0.102978E-03 4 0.342892E-10 1042 0.762029E-09 The Newton iteration has converged. T = 0.100000 Iter L2(Diff) Max index Max val 1 0.171808E-01 555 0.862289E-01 2 0.645943E-03 556 0.109656E-01 3 0.587285E-05 1037 0.770407E-04 4 0.169490E-10 1042 0.375675E-09 The Newton iteration has converged. T = 0.125000 Iter L2(Diff) Max index Max val 1 0.132130E-01 555 0.662572E-01 2 0.511427E-03 556 0.853268E-02 3 0.462012E-05 1037 0.571918E-04 4 0.905094E-11 1042 0.200391E-09 The Newton iteration has converged. T = 0.150000 Iter L2(Diff) Max index Max val 1 0.103288E-01 555 0.512166E-01 2 0.401195E-03 556 0.661018E-02 3 0.364864E-05 1037 0.425581E-04 4 0.519328E-11 1042 0.110045E-09 The Newton iteration has converged. T = 0.175000 Iter L2(Diff) Max index Max val 1 0.813810E-02 555 0.397953E-01 2 0.313636E-03 556 0.512001E-02 3 0.289140E-05 556 0.334271E-04 4 0.320148E-11 1042 0.631921E-10 The Newton iteration has converged. T = 0.200000 Iter L2(Diff) Max index Max val 1 0.644570E-02 555 0.310607E-01 2 0.245126E-03 556 0.397335E-02 3 0.229790E-05 556 0.270025E-04 4 0.218547E-11 1042 0.377192E-10 The Newton iteration has converged. T = 0.225000 Iter L2(Diff) Max index Max val 1 0.512423E-02 555 0.243392E-01 2 0.191859E-03 556 0.309241E-02 3 0.183036E-05 556 0.217462E-04 4 0.156238E-11 1042 0.229932E-10 The Newton iteration has converged. T = 0.250000 Iter L2(Diff) Max index Max val 1 0.408446E-02 555 0.191380E-01 2 0.150509E-03 556 0.241466E-02 3 0.146048E-05 556 0.174832E-04 4 0.192905E-11 734 0.475591E-10 The Newton iteration has converged. T = 0.275000 Iter L2(Diff) Max index Max val 1 0.326180E-02 555 0.150932E-01 2 0.118378E-03 556 0.189170E-02 3 0.116685E-05 556 0.140423E-04 4 0.197612E-11 742 0.257175E-10 The Newton iteration has converged. T = 0.300000 Iter L2(Diff) Max index Max val 1 0.260829E-02 555 0.119340E-01 2 0.933485E-04 556 0.148668E-02 3 0.933158E-06 556 0.112722E-04 4 0.961236E-12 335 0.152096E-10 The Newton iteration has converged. T = 0.325000 Iter L2(Diff) Max index Max val 1 0.208767E-02 555 0.945696E-02 2 0.737923E-04 556 0.117177E-02 3 0.746801E-06 556 0.904560E-05 4 0.354108E-11 734 0.104622E-09 The Newton iteration has converged. T = 0.350000 Iter L2(Diff) Max index Max val 1 0.167205E-02 555 0.750822E-02 2 0.584630E-04 556 0.925972E-03 3 0.597976E-06 556 0.725736E-05 4 0.216029E-11 742 0.717120E-10 The Newton iteration has converged. T = 0.375000 Iter L2(Diff) Max index Max val 1 0.133979E-02 555 0.597065E-02 2 0.464091E-04 556 0.733409E-03 3 0.478996E-06 556 0.582193E-05 4 0.121114E-11 247 0.270148E-10 The Newton iteration has converged. T = 0.400000 Iter L2(Diff) Max index Max val 1 0.107389E-02 555 0.475445E-02 2 0.369031E-04 556 0.582046E-03 3 0.383801E-06 556 0.467005E-05 4 0.147646E-11 247 0.456332E-10 The Newton iteration has converged. T = 0.425000 Iter L2(Diff) Max index Max val 1 0.860955E-03 555 0.379036E-02 2 0.293869E-04 556 0.462712E-03 3 0.307592E-06 556 0.374589E-05 4 0.164212E-11 742 0.206292E-10 The Newton iteration has converged. T = 0.450000 Iter L2(Diff) Max index Max val 1 0.690346E-03 555 0.302473E-02 2 0.234303E-04 556 0.368380E-03 3 0.246555E-06 556 0.300452E-05 4 0.262674E-11 867 0.653486E-10 The Newton iteration has converged. T = 0.475000 Iter L2(Diff) Max index Max val 1 0.553603E-03 555 0.241574E-02 2 0.187004E-04 556 0.293642E-03 3 0.197653E-06 556 0.240981E-05 4 0.146007E-11 867 0.414272E-10 The Newton iteration has converged. T = 0.500000 Iter L2(Diff) Max index Max val 1 0.443978E-03 555 0.193070E-02 2 0.149382E-04 556 0.234310E-03 3 0.158465E-06 556 0.193277E-05 4 0.190763E-11 867 0.410885E-10 The Newton iteration has converged. T = 0.525000 Iter L2(Diff) Max index Max val 1 0.356078E-03 555 0.154395E-02 2 0.119414E-04 556 0.187130E-03 3 0.127055E-06 556 0.155015E-05 4 0.323601E-11 867 0.838056E-10 The Newton iteration has converged. T = 0.550000 Iter L2(Diff) Max index Max val 1 0.285591E-03 555 0.123527E-02 2 0.955149E-05 556 0.149559E-03 3 0.101877E-06 556 0.124325E-05 4 0.244973E-11 885 0.560927E-10 The Newton iteration has converged. T = 0.575000 Iter L2(Diff) Max index Max val 1 0.229062E-03 555 0.988715E-03 2 0.764364E-05 556 0.119605E-03 3 0.816920E-07 556 0.997112E-06 4 0.242722E-11 867 0.522045E-10 The Newton iteration has converged. T = 0.600000 Iter L2(Diff) Max index Max val 1 0.183725E-03 555 0.791642E-03 2 0.611934E-05 556 0.956980E-04 3 0.655077E-07 556 0.799682E-06 4 0.272273E-11 1000 0.575479E-10 The Newton iteration has converged. T = 0.625000 Iter L2(Diff) Max index Max val 1 0.147362E-03 555 0.634033E-03 2 0.490065E-05 556 0.766021E-04 3 0.525309E-07 556 0.641346E-06 4 0.265700E-11 867 0.535497E-10 The Newton iteration has converged. T = 0.650000 Iter L2(Diff) Max index Max val 1 0.118198E-03 555 0.507925E-03 2 0.392575E-05 556 0.613382E-04 3 0.421248E-07 556 0.514344E-06 4 0.192883E-11 885 0.432863E-10 The Newton iteration has converged. T = 0.675000 Iter L2(Diff) Max index Max val 1 0.948053E-04 555 0.406982E-03 2 0.314550E-05 556 0.491301E-04 3 0.337813E-07 556 0.412496E-06 4 0.296333E-11 867 0.931573E-10 The Newton iteration has converged. T = 0.700000 Iter L2(Diff) Max index Max val 1 0.760426E-04 555 0.326155E-03 2 0.252079E-05 556 0.393612E-04 3 0.270908E-07 556 0.330816E-06 4 0.206027E-11 885 0.271113E-10 The Newton iteration has converged. T = 0.725000 Iter L2(Diff) Max index Max val 1 0.609934E-04 555 0.261417E-03 2 0.202046E-05 556 0.315411E-04 3 0.217254E-07 556 0.265306E-06 4 0.456915E-11 867 0.124793E-09 The Newton iteration has converged. T = 0.750000 Iter L2(Diff) Max index Max val 1 0.489224E-04 555 0.209553E-03 2 0.161964E-05 556 0.252788E-04 3 0.174213E-07 556 0.212755E-06 4 0.547861E-11 867 0.151254E-09 The Newton iteration has converged. T = 0.775000 Iter L2(Diff) Max index Max val 1 0.392404E-04 555 0.167996E-03 2 0.129847E-05 556 0.202626E-04 3 0.139719E-07 556 0.170630E-06 4 0.240533E-11 867 0.659633E-10 The Newton iteration has converged. T = 0.800000 Iter L2(Diff) Max index Max val 1 0.314745E-04 555 0.134691E-03 2 0.104107E-05 556 0.162437E-04 3 0.112052E-07 556 0.136840E-06 4 0.272206E-11 867 0.532040E-10 The Newton iteration has converged. T = 0.825000 Iter L2(Diff) Max index Max val 1 0.252456E-04 555 0.107996E-03 2 0.834757E-06 556 0.130231E-04 3 0.898574E-08 556 0.109737E-06 4 0.249477E-11 867 0.607772E-10 The Newton iteration has converged. T = 0.850000 Iter L2(Diff) Max index Max val 1 0.202493E-04 555 0.865967E-04 2 0.669367E-06 556 0.104418E-04 3 0.720613E-08 556 0.880057E-07 4 0.484341E-11 867 0.142321E-09 The Newton iteration has converged. T = 0.875000 Iter L2(Diff) Max index Max val 1 0.162419E-04 555 0.694410E-04 2 0.536771E-06 556 0.837274E-05 3 0.577982E-08 556 0.705853E-07 4 0.406527E-11 867 0.889095E-10 The Newton iteration has converged. T = 0.900000 Iter L2(Diff) Max index Max val 1 0.130275E-04 555 0.556863E-04 2 0.430458E-06 556 0.671401E-05 3 0.463508E-08 556 0.566038E-07 The Newton iteration has converged. T = 0.925000 Iter L2(Diff) Max index Max val 1 0.104493E-04 555 0.446576E-04 2 0.345211E-06 556 0.538412E-05 3 0.371781E-08 556 0.454045E-07 The Newton iteration has converged. T = 0.950000 Iter L2(Diff) Max index Max val 1 0.838129E-05 555 0.358141E-04 2 0.276855E-06 556 0.431782E-05 3 0.298045E-08 556 0.363959E-07 The Newton iteration has converged. T = 0.975000 Iter L2(Diff) Max index Max val 1 0.672258E-05 555 0.287225E-04 2 0.222038E-06 556 0.346279E-05 3 0.239014E-08 556 0.291853E-07 The Newton iteration has converged. T = 1.00000 Iter L2(Diff) Max index Max val 1 0.539213E-05 555 0.230356E-04 2 0.178078E-06 556 0.277715E-05 3 0.191651E-08 556 0.234037E-07 The Newton iteration has converged. MHD_FLOW: Normal end of execution. 15 October 2006 1:00:08.068 PM