Challenge

Week 2 - Flow over a Cylinder.

Objective: To simulate the flow of fluid (2D laminar) over a cylinder for varying Reynolds numbers and compute the Strouhal number, drag coefficient, lift coefficient, velocity contours and pressure contours.

Theory: The Karman vortex street happens due to vortex shedding. It happens when a flow encounters a cylindrical body and it results in the formation of periodic vortices after crossing the body. Vortex shedding has a frequency associated with itself which is linked with the Strouhal number.

Note: The solution would be assumed to be converged when lift coefficient `C_l` and drag coefficient `C_d` plots either converge or becoming periodic.

Preprocessing:

  1. Meshing:
  2. Named Selections:
  3. Reference values:

(I realised that I forgot to change the reference velocity for the other Reynolds Numbers. As a result my `C_d` and `C_l` values have come out to be higher by a large factor. I realised it after preparing the report.)

Postprocessing:

  1. Part 1
    1. `Re=100`
      1. Steady Solve
        1. Scaled Residuals:
        2. Velocity Contours:
        3. Pressure Contours:
        4. Cd:
        5. Cl:
        6. FFT
          1. Cd:
            1. Strouhal number corresponding to maximum magnitude `approx0`
          2. Cl:
            1. Strouhal number corresponding to maximum magnitude `approx0.015833333`
      2. Transient Solve
        1. Scaled Residuals:
        2. Velocity Contours:
        3. Pressure Contours:
        4. Cd:
        5. Cl:
        6. FFT
          1. Cd:
            1. Strouhal number corresponding to maximum magnitude `approx0`
          2. Cl:
            1. Strouhal number corresponding to maximum magnitude `approx0.083966412`
  2. Part 2
    1. `Re=10` Steady Solve
      1. Scaled Residuals:
      2. Velocity Contours:
      3. Pressure Contours:
      4. Cd:
      5. Cl:
    2. `Re=1000` Steady Solve
      1. Scaled Residuals:
      2. Velocity Contours:
      3. Pressure Contours:
      4. Cd:
      5. Cl:
    3. `Re=10000` Steady Solve
      1. Scaled Residuals:
      2. Velocity Contours:
      3. Pressure Contours:
      4. Cd:
      5. Cl:
    4. `Re=100000` Steady Solve
      1. Scaled Residuals:
      2. Velocity Contours:
      3. Pressure Contours:
      4. Cd:
      5. Cl:

Table:

`Re` `C_d` (Large due to unchanged reference velocity)
`10` `0.033295457`
`100` `1.3556183`
`1000` `83.741896` (At the end of`1200` iterations)
`10000` `8570.835` (At the end of `1200` iterations)
`100000` `1033829.3` (At the end of `1200` iterations)

Reference: Numerical simulation of laminar flow past a circular cylinder - ScienceDirect

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