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Correct method for calculating time step size 

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February 9, 2016, 03:49 
Correct method for calculating time step size

#1 
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Aarthy Meena
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Hello Everyone,
I am a newbie to FLUENT & CFD. I wanted to calculate time step size for unsteady flow around a circular cylinder of dia = 0.01m in the Reynolds number of 45 to 50. The working fluid is water with viscosity = 0.001003 kg/ms and density = 998.2 kg/m3. I came across several posts related to this and many methods to calculate the time step size. 1) From Strouhal number (0.2 for circular cylinder approx) Sr (0.2) = (frequency x diameter) / velocity From the above equation find the frequency. The total time period, T = 1/frequency. Hence, time step t = T/25 (approx). 2) From CFL condition t = C_m X x / velocity where, C_m = 1 (approx) and x = minimum cell size. 3)From domain length t = domain length / (20 x velocity) 1) Which of the above method is correct ? 2) How to calculate the suitable time step size for my condition? 3) Please explain. Thanks in advance.
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Aarthy, PG Student, National Institute of Technology, Trichy, India. Last edited by Aarthy Meena; February 9, 2016 at 04:50. 

February 9, 2016, 04:25 

#2 
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Filippo Maria Denaro
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the time step is constrained by stability criteria that are based not only on the cfl condition but also on the visicous terms.
Furthermore, each discretization has a specific stability region 

February 9, 2016, 04:28 

#3 
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Aarthy Meena
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Dear Sir,
Can you please explain me the method for my flow scenario around a circular cylinder.
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Aarthy, PG Student, National Institute of Technology, Trichy, India. 

February 9, 2016, 04:36 

#4 
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Filippo Maria Denaro
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The numerical stability depends upon the method you use for the integration and the sizes of the mesh (in all directions), does not depend on a specific flow problem.
Assuming you are using nondimensional equations, the velocity magnitude is no more than O(1) so that you can use that as estimation in the (multidimensional) CFL condition 

February 9, 2016, 04:46 

#5 
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Aarthy Meena
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Thank you sir,
Actually am very new to FLUENT and I do not understand your reply. In FLUENT, I am using dimensional form of the governing equations. Kindly please suggest me some material where I can learn about this topic.
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Aarthy, PG Student, National Institute of Technology, Trichy, India. 

February 10, 2016, 03:20 

#6 
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Lucas
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A theoretical advice:
The CFLnumber and the according "condition" are only part of the stability analysis of numerical schemes. A good introduction (for Finite Difference methods) can be found on: https://en.wikipedia.org/wiki/Von_Ne...ility_analysis Basically the stability depends on the equation you discretise (including all the terms in it  as FMDemaro added), as well as the discretisation scheme you use. As a "rule of thumb": lower order discretisation schemes (e.g.: Upwind schemes) and implicit timedependent solution are very stable, whereas the more accurate methods tend to be unstable. For the Finite Element method, this can be proven analytically for certain cases  An example is also contained in the link. A practical advice: I am not familiar with ANSYS Fluent but I guess, that you will use Finite Volume Method with an implicit solver. The theoretical advice from above might therefore be tough to prove for your problem. I would advise you to have look on the user manual and see, if there is any hint. A cylinder in cross flow is also very well researched and there might be a lot of data and advice for your example already available. Regards, Lucas 

February 10, 2016, 04:46 
Help please!!

#7 
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Ravi
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I am trying to do a transient analysis of flow through a bifurcation of penstock pipe (wye) using ansys cfx . Here i need to specify the conditions that the valves of the turbine are closed within a 5 seconds of time. I thought of giving pressure inlet and mass flow rate at the outlet. Now i need to vary the mass flow rate at the outlet from 4650kg/s to 0 within a 5 seconds of time and i dont know how to do that in ansys CFX. Can anybody help me please ??


May 7, 2019, 07:56 
question

#8 
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Dear Aarthy Meena,
did you find a good average to calculate the time step and time step size? 

Tags 
circular cylinder, fluent 14.5, time step size, transient simulations 
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