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:
- Meshing:

- Named Selections:

- 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:
- Part 1
- `Re=100`
- Steady Solve
- Scaled Residuals:

- Velocity Contours:

- Pressure Contours:

- Cd:

- Cl:

- FFT
- Cd:
- Strouhal number corresponding to maximum magnitude `approx0`
- Cl:
- Strouhal number corresponding to maximum magnitude `approx0.015833333`
- Cd:
- Scaled Residuals:
- Transient Solve
- Scaled Residuals:

- Velocity Contours:

- Pressure Contours:

- Cd:

- Cl:

- FFT
- Cd:
- Strouhal number corresponding to maximum magnitude `approx0`
- Cl:
- Strouhal number corresponding to maximum magnitude `approx0.083966412`
- Cd:
- Scaled Residuals:
- Steady Solve
- `Re=100`
- Part 2
- `Re=10` Steady Solve
- Scaled Residuals:

- Velocity Contours:

- Pressure Contours:

- Cd:

- Cl:

- Scaled Residuals:
- `Re=1000` Steady Solve
- Scaled Residuals:

- Velocity Contours:

- Pressure Contours:

- Cd:

- Cl:

- Scaled Residuals:
- `Re=10000` Steady Solve
- Scaled Residuals:

- Velocity Contours:

- Pressure Contours:

- Cd:

- Cl:

- Scaled Residuals:
- `Re=100000` Steady Solve
- Scaled Residuals:

- Velocity Contours:

- Pressure Contours:

- Cd:

- Cl:

- Scaled Residuals:
- `Re=10` Steady Solve
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