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January 9, 2012, 11:40 
2D vs 3D

#1 
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Daniel WEI (老魏)
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Dear all,
I found my simulation of an square cylinder, external flow, the 2D simulation always comes with a low Cd value, like 30%. Is this normal? Any experience?
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January 9, 2012, 15:18 

#2 
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Martin Hegedus
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In regards to drag, I always recommend Hoerner's book "FluidDynamic Drag" It is a treasure chest of information.
In general, 3D shapes have lower drag than 2D shapes. However, it sounds like you may be in an area of great uncertainty. The reason is the separation that occurs at the front lip. If your shape was longer or shorter, for example Length/Diameter (L/D, or fineness ratio) of 4 or 0.1, I'd say the 3D shape would have lower drag. However, at L/D of 1, it is very dependent on how, and if, the flow reattaches. IMO, you are going to need to build confidence in your solution by starting with a shape with a larger fineness (L/D) ratio. You'll also find, unfortunately, that the transition from low drag to high drag as the fineness ratio is reduced can happen over a short span of fineness ratios. 

January 9, 2012, 16:03 

#3 
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Daniel WEI (老魏)
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Thanks for the help.
Im quite frustrated and exhausted. I find "building confidence" is very important for every CFD people. Actually, I used to get quite GOOD results for channel flow, circular cylinder flow and 3D simulations results of square cylinder of 22000 compares well with the literature, but these days I just can't find the "bug" (if there is any) in my bc settings or turbulence modeling, etc. so I am totally lost. In some CFD paper, some guys use a blockage ratio "correction" to take care their insufficient domain size, do you think it is good idea? Again, for my square cylinder simulation, 2D, it has 5% blockage ratio, 20B of the wake length, B is the width of the square.. I am testing to see if this is the problematic.
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January 9, 2012, 16:48 

#4 
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Martin Hegedus
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In general, for production subsonic runs I'll use an outer boundary 50x100x of max length for 3D cases and 100x150x of max length for 2D cases. For 2D, the outer boundary can be less but I'm very hesitant to go less than 50x. If you are concerned about your outer boundary, just double it. Your answer may change by a couple of percentage points, but, I don't think that is your issue. I would suggest trying different fineness ratios and see where you are in regards to the drag rise do to the separation bubble on the top and bottom of the square cylinder.
BTW, when you say 3D (in regards to 2D vs. 3D) square cylinder, I am assuming you mean a cylinder where the axis is aligned with the flow vector and your leading and trailing faces are flat. The 2D representation (i.e. side view) of this would be a simple square and the 2D CFD run would be axisymmetric. Or, do you mean your CFD runs are 2D and you are comparing it to a 3D wind tunnel test? The square tube for the wind tunnel test would then run from one wind tunnel wall to the one on the other side? If this is the case, and you are at a low Reynolds number, I don't think a 2D CFD run can capture the physics. 

January 9, 2012, 17:17 

#5 
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Daniel WEI (老魏)
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Yes, 3D simulation， I mean the mesh is 3D, spanwise mesh is uniform, geometry is 2D from a side view.
Are you suggesting me testing on a refined mesh? That is what I am doing too. Will let you know, if I find something. Thanks again.
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January 9, 2012, 18:21 

#6 
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Martin Hegedus
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Maybe I miss understood the problem from the beginning. For me, a square cylinder is a circular cylinder where the diameter is equal to the length. Ooops.
For your case, which I assume is at low Reynolds numbers, you can not compare a 2D CFD run of a square to a 3D CFD run, unless your turbulence model somehow captures the physics. And I don't know of one, but I don't know of the latest and greatest research in this area either. If you crank up the Reynolds number, then you probably will get better agreement between a 2D and 3D run. I assume that your runs are unsteady. So, at any given time, the square will have either an upward or downward lift. I wouldn't be surprised to see that the lift histories for the 2D and 3D cases are significantly different, in the sense of max and mins. In which case the comparison between the 2D and 3D cases for the pressure forces on the forward and aft faces of the square will also be significantly different. Refining the grid will change the answers, but it will not change the physics. Now, if your runs are steady, then yes, I would be surprised about the 30% difference. Are your runs steady? 

January 9, 2012, 18:36 

#7 
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Martin Hegedus
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Maybe another misunderstanding. What I really suggest doing is comparing 2D and 3D versions of rectangular cylinders. A square cylinders is a unique case of a rectangular cylinder where Length/Height (fineness ration) is equal to 1.0. Try comparing 2D and 3D for a rectangular cylinder with a fineness ratio of 0.1 and a fineness ratio of 4.0. The square is the hardest one!! The reattachment, or the lack thereof, is a pain.


January 9, 2012, 18:42 

#8 
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Daniel WEI (老魏)
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Thank you, Martin
Okay, I will elaborate on it. I suppose you are testing and trying OF too, for I have seen your post b4. Ok, it is an unsteady external flow, I am from civil engineering, which means the Re based on square cylinder edge would be around 10^5 as in a wind tunnel case. 2D in geometry is something just like a bridge deck, because it is very long in its span, so we apply the socalled strip theory, so 2D in geometry! But the simulation as well as the mesh and turb model could be 2D or 3D. I think you are very familiar with this field. As you have said, I noticed, that lowReturbmodel is an hot topic now, but me either, not sure how it works for a square with Re around 22000. I would like to hear those who have more experience in lowre turb modeling. What should be defined as lowRe or high ?? I am MORE interested in Cd Cl, etc. these integral force coeffs, and I found for bluff body flows, Cl's RMS is quite difficult to generate. 2DLES generally gives better Cl time history as far as RMS value as concerned, and it looks more like wind tunnel, but 2DLES doesn't make sense in math point.
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January 9, 2012, 18:51 

#9  
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Daniel WEI (老魏)
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Quote:
I thought mean(Cd) is not sensitive either, RMS(Cd) and RMS(Cl) would be very sensitive to any settings.. ... OKAY, All I want to ask is : "How on earth reliable is a 2D(mesh) simulation???"
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January 9, 2012, 20:00 

#10  
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Martin Hegedus
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Quote:
In regards to mean CD, it is very much sensitive to it. Well, broadly speaking, there are two values, reattached on the top and bottom side, and not reattached. Figure 22 in Hoerner's Fluid Dynamic Drag book shows Cd0 for a rectangular section tested between WT walls vs. c/t where c is the chord (length) and t is the thickness (height). For low c/t values (<1.0), CD0 is about 2.0. Then at around c/t of 1.0 CD0 begins to drop, until it reaches a value of 0.9 to 1.0 somewhere from c/t of 3.0 and 4.0. The maximum rate of change occurs between a c/t of 2.0 and 3.0. Of course this is all dependent of Reynolds number and even possibly the position of the moon and stars. This reference (http://hdl.handle.net/2060/19930083675), "Lowspeed drag of cylinders of various shapes" by Delany, Noel K; Sorensen, Norman E , from ntrs.nasa.gov , shows the Strouhal and CD for rectangles and rounded corner rectangles for fineness rations of 1:2, 1:1, and 2:1. Given this, I would not trust a 2D simulation for a rectangular cylinder with a value of c/t between 0.5 and 3.5. 

January 9, 2012, 20:08 

#11  
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Daniel WEI (老魏)
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Quote:
Within certain Re range, for aspect ratio between 0.5~3.5, 2Dturbulence is far from the truth. CFD is full of challenges comparing to wind tunnel, when you want to solve some stuff with mesh motion, and solid body motion, it is very difficult to go 3D, it is too consuming. I am getting old to get a reliable FSI result with a 3D simulation.
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January 9, 2012, 21:17 

#12 
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Martin Hegedus
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The interesting part is that you are actually trying to model a bridge deck not a rectangular cylinder. There may be cars, girders, guard rails, etc. All this adds turbulence and may cause the flow to reattach earlier than your 3D rectangular cylinder model. Thus the 2D model may actually be closer to the "real" thing. WT of a bridge deck should be investigated and compared to WT data of rectangular cylinders.
Good Luck! 

January 11, 2012, 09:52 

#13 
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Daniel WEI (老魏)
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As Martin has briefly mentioned, I think we have roughly agreed on that:
My question is this,
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~ Daniel WEI  NatHaz Modeling Laboratory Department of Civil & Environmental Engineering & Earth Sciences University of Notre Dame, USA Email  My Personal CFD Blog Last edited by lakeat; January 11, 2012 at 10:38. 

January 11, 2012, 11:11 

#14 
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Joern Beilke
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You want to know if pest is better than cholera.
Both types of calculation are unreliable because you can not say in advance if they give reasonable results for your geometry. 

January 11, 2012, 11:20 

#15 
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Daniel WEI (老魏)
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Then why I found journals and proposal reviewers tend to refuse all 2DLES, while they seems to be MORE tolerable on allowing the 2DURANS to join the "comparison" games.
Or I was misinformed?
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~ Daniel WEI  NatHaz Modeling Laboratory Department of Civil & Environmental Engineering & Earth Sciences University of Notre Dame, USA Email  My Personal CFD Blog 

January 11, 2012, 11:56 

#16 
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Peter Jones
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2D LES is physically incorrect. Trying to model the large edies in 2D is not possible since their behaviour and development is very much three dimensional. 2D RANS is not physically incorrect in the same way, but requires certain criteria or assumptions that are often not fulfilled


January 11, 2012, 12:11 

#17 
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Daniel WEI (老魏)
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Yet see how many papers were published with 2DLES...
I am more interested in the lift coefficient RMS values than in the Cd. But I got impression that ALL URANS would give sine wave time history, and low RMS(Cl) values. Is there any better solution within the scope of 2D (2Dmesh) simulations? That what I am looking hard for.
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~ Daniel WEI  NatHaz Modeling Laboratory Department of Civil & Environmental Engineering & Earth Sciences University of Notre Dame, USA Email  My Personal CFD Blog 

January 11, 2012, 12:33 

#18 
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This is not at all my field, but I remember that the KatoLaunder modification was designed to predict this kind of problems for square cylinders. A bit of Googling turned up this reference which looks interesting and is by good authors:
http://www.sciencedirect.com/science...42727X02002102 

January 11, 2012, 13:13 

#19 
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Martin Hegedus
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On aspect of this question is how much does one believe in 3D URANS? I don't do a lot of unsteady calculations so I can't really comment. However, IMO, RANS equations throw so much eddy viscosity at a problem I don't know how a vortex would be able to break apart by twisting on itself. For example, take the wake behind a truck or axially aligned circular cylinder, I assume the vortex coming off (for a URANS calc) is going to want to be a ring vortex, and stay that way. Yes, it will be unsteady in the down stream direction, but probably not around the axis. In other words, URANS would be unsteady in a 2D sense only. Again, these are conjectures on my part.
Take rotating helicopter blades for example. I've seen many times where the grid around the blade (these are Chimera grids) use the RANS equations and then there is a cartesian outer grid which is run with Euler (i.e. zero viscosity) One advertised reason they do this is to increase the turn around time of the solution. However, I wouldn't be surprised to learn if there are other benefits, i.e. good bye eddy viscosity. Unfortunately, I never asked them. Question, the original 3D runs of the square cylinder to which you were comparing your 2D runs to, were they LES or URANS? Sorry, I just assumed they were LES. If they were URANS, I would expect the 2D and 3D URANS runs to be similar. Maybe another modeling choice for you would be to do it like the helicopter people. Create an inner grid and use RANS/URANS on it and create a cartesian outer grid which uses Euler. This would have to be 3D. But, maybe, it runs faster than LES. 

January 11, 2012, 13:27 

#20  
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Daniel WEI (老魏)
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Quote:
Thank you guys, Hybrid would be definitely better than (U)RANS, but it is still too costly for large Re. Many hybrid still require a low y_1st_plus be well set, around unity or similar. LowRe turb model is very promising, but I am not sure which one is more stable. I am testing. Yes, the 3D simulation I mentioned is LES, I will never do 3D URANS, I don;t think it worth the effort. And btw, in 3DURANS, the vortices do break in the wake a little bit, but 2D rings persist for a quite long distance, this is what I've seen from many published papers. These days, I am so interested in 2D URANS' performance, is that I am doing some project, where we have thousands of cases to run, or we have body motion dynamics mesh etc., all of these demand the single run to be as quickly as possible.
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~ Daniel WEI  NatHaz Modeling Laboratory Department of Civil & Environmental Engineering & Earth Sciences University of Notre Dame, USA Email  My Personal CFD Blog 

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