##Reference data from "Benchmark Computations of Laminar Flow Around a Cylinder" 
##of Schäfer & Turek from 1996 ( 2D-Q2 test case)
##                Stroudal number(St)           deltaP 
## lower bound    0.2950                        2.4600
## upper bound    0.3050                        2.5000
##
## our numerical results
## deltaP = P(0.15,0.2)-P(0.25,0.2)
## Stroudal number. St = fD/u_mean,
##                  where, f - frequency of separation (measured from velocityY signal over time)
##                         D - diameter of the cylinder
##                         u_mean  - mean velocity
##
## Here, the results obtained from diffusive scaling are collected. i.e the omega is kept constant
## and lattice inflow velocity is changed for different resolution.
## omega = 1.9
## physical inflow velocity, u_max = 1.5 m/s, u_mean = 1.0 m/s
## lattice inflow velocity for different resolution
## nHeight    u_in_L
## 100        0.053947368421053
## 150        0.035964912280702
## 200        0.026973684210526
## 300        0.017982456140351
## 400        0.013486842105263
###################################################################################################################
##outlet_BC  : expol 
###################################################################################################################
##nHeight  unknowns   l/h       freq(f)        St                       deltaP 
    ##                                                         min           max           average
  100      19488        2       2.9787749222  0.2978774922    2.3922406972 2.57552733373 2.49804992931
  100      29488        3       2.9787749222  0.2978774922    2.47094084474 2.52913550506 2.5004980634
  100      49488        5       2.9787749222  0.2978774922    2.42306721951 2.58245183343 2.50031490957
                                    
  150      43873        2       2.9787749222  0.2978774922    2.48419197145 2.65950460976 2.56321393474
  150      66373        3       2.9787749222  0.2978774922    2.52333072814 2.58183592148 2.55537115584
  150      111373       5       2.9787749222  0.2978774922    2.50707219869 2.60472194706 2.55625717378
                                
  200      78043        2       2.6477999308  0.2647799931    2.47405906008 2.57137830339 2.51708190358
  200      118043       3       2.6477999308  0.2647799931    2.45603010589 2.56201850327 2.5074408213
  200      198043       5       2.6477999308  0.2647799931    2.47494556098 2.54484512552 2.51178269028
                                
  300      175653       2       2.9795019847  0.2979501985    2.40962539203 2.49683234027 2.45999059908
  300      265653       3       2.9795019847  0.2979501985    2.41233901249 2.49785284712 2.45621215987
  300      445653       5       2.9795019847  0.2979501985    2.42112928733 2.49133551933 2.45698716043
           
  400      312342       2       3.1755001804  0.317550018     2.42592 2.518404721 2.46987139608
  400      472342       3       3.1755001804  0.317550018     2.43095037716 2.51102408566 2.46727926471
  400      792342       5       3.1755001804  0.317550018     2.43152763355 2.50916861868 2.46725756659
###################################################################################################################
##outlet_BC  : dnt 
###################################################################################################################
##nHeight  unknowns   l/h       freq(f)        St                       deltaP 
    ##                                                         min           max           average
  100      19488        2       2.9787749222  0.2978774922    2.41965522189 2.54700468293 2.4961996589       
  100      29488        3       2.9787749222  0.2978774922    2.46834834503 2.53251400119 2.50095808455     
  100      49488        5       2.9787749222  0.2978774922    2.43393716359 2.56871622368 2.49827907186     
                                                               
  150      43873        2       0 0                            
  150      66373        3       2.9787749222  0.2978774922    2.51887760738 2.58841703093 2.55594738451 
  150      111373       5       2.9787749222  0.2978774922    2.50767522546 2.60424068531 2.55622159559 
                                                               
  200      78043        2       2.6477999308  0.2647799931    2.47206958715 2.56385335396 2.51461559243 
  200      118043       3       0 0                            
  200      198043       5       2.6477999308  0.2647799931    2.47455385128 2.54490697442 2.51179536297 
                                                               
  300      175653       2       0 0                            
  300      265653       3       2.9795019847  0.2979501985    2.41310439262 2.49708746698 2.45617145272 
  300      445653       5       2.9795019847  0.2979501985    2.41871718025 2.49372443308 2.457008789   
                                                               
  400      312342       2       3.1755001804  0.317550018     2.42732190839 2.51316818084 2.46815524624
  400      472342       3       3.1755001804  0.317550018     2.43107407496 2.51044682927 2.46725429024
  400      792342       5       3.1755001804  0.317550018     2.43156886615 2.50916861868 2.46728756892
###################################################################################################################
##outlet_BC  : eq 
###################################################################################################################
##nHeight  unknowns   l/h       freq(f)        St                       deltaP 
    ##                                                         min           max           average
  100      19488        2       2.9787749222  0.2978774922    2.42484795241 2.54512859964 2.49664766804
  100      29488        3       2.9787749222  0.2978774922    2.4683663843 2.53342627246 2.50088028403
  100      49488        5       2.9787749222  0.2978774922    2.43370780726 2.56995062463 2.49891968654
                                                              
  150      43873        2       0 0                           
  150      66373        3       2.9787749222  0.2978774922    2.51830937061 2.58901425937 2.55589821313
  150      111373       5       2.9787749222  0.2978774922    2.50736791374 2.60406093694 2.55623546117
                                                              
  200      78043        2       0 0                           
  200      118043       3       2.6477999308  0.2647799931    2.46320457823 2.55444201309 2.50922444032
  200      198043       5       2.6477999308  0.2647799931    2.47449200238 2.54486574182 2.51178629118
                                                              
  300      175653       2       0 0                           
  300      265653       3       0 0                           
  300      445653       5       0 0                           
                                                              
  400      312342       2       0 0                          
  400      472342       3       0 0                          
  400      792342       5       0 0                          
###################################################################################################################
##outlet_BC  : pab 
###################################################################################################################
##nHeight  unknowns   l/h       freq(f)        St                           deltaP 
##                                                             min           max           average
  100      19488        2       2.9787749222  0.2978774922    2.45062863534 2.53035702082 2.49743167857
  100      29488        3       2.9787749222  0.2978774922    2.46670419512 2.53646717668 2.50147044751
  100      49488        5       2.9787749222  0.2978774922    2.43667397739 2.56579386318 2.49893645596
                                                              
  150      43873        2       2.9787749222  0.2978774922    2.4924951862 2.62826898275 2.5574845835
  150      66373        3       2.9787749222  0.2978774922    2.51572911184 2.59319485842 2.55637488489
  150      111373       5       2.9787749222  0.2978774922    2.50746068709 2.60402614694 2.55630974708
                                                              
  200      78043        2       2.6477999308  0.2647799931    2.47165726115 2.55487495538 2.51202405863
  200      118043       3       2.6477999308  0.2647799931    2.46809064128 2.54968995598 2.51017010619
  200      198043       5       2.6477999308  0.2647799931    2.47413121713 2.54506159667 2.51182591651
                                                              
  300      175653       2       2.9795019847  0.2979501985    2.41106337894 2.49544074004 2.45586256754
  300      265653       3       2.9795019847  0.2979501985    2.41412489946 2.49657721356 2.45620616739
  300      445653       5       2.9795019847  0.2979501985    2.41611952647 2.4966004069 2.45722830854
                                                              
  400      312342       2       3.1755001804  0.317550018     2.42938353837 2.50925108388 2.46701548734
  400      472342       3       3.1755001804  0.317550018     2.43111530755 2.50978710767 2.46725814356
  400      792342       5       3.1755001804  0.317550018     2.43173379655 2.50912738608 2.46731884883

