Examples

In this section you will learn how to run the pre-defined examples. For more information on how to configure this project and run the code for your own cases, see Usage.

Example 1: Pair of Counter Rotating Vortices

In this example we will simulate a pair of counter-rotating vortices. The flow elements are presented in the table below. To run this example enter the following command in your terminal in the project root:

$ make example1

	x position	y position	Circulation
Vortex 1	0.0	0.5	6.3
Vortex 2	0.0	-0.5	-6.3

Example 2: Pair of Co-Rotating Vortices

In this example we will simulate a pair of co-rotating vortices. The flow elements are presented in the table below. To run this example enter the following command in your terminal in the project root:

$ make example2

	x position	y position	Circulation
Vortex 1	0.0	0.5	6.3
Vortex 2	0.0	-0.5	6.3

Example 3: Evolution of Three Point Vortices

In this example we will simulate three vortices. The parameters are presented in the table below. To run this example enter the following command in your terminal in the project root:

$ make example3

	x position	y position	Circulation
Vortex 1	1.0	0.0	-12.57
Vortex 2	-1.0	0.0	6.28
Vortex 3	1.0	1.0	18.85

Example 4: Leapfrogging of Four Vortices

In this example we will simulate a case of leapfrogging of four vortices. The parameters are presented in the table below. To run this example enter the following command in your terminal in the project root:

$ make example4

	x position	y position	Circulation
Vortex 1	0.0	1.0	6.28
Vortex 2	0.0	-1.0	-6.28
Vortex 3	1.0	1.0	6.28
Vortex 4	1.0	-1.0	-6.28

Example 5: Solid Body Rotation of Three Vortices

In this example we will simulate the solid body rotation of three vortices. The parameters are presented in the table below. To run this example enter the following command in your terminal in the project root:

$ make example5

	x position	y position	Circulation
Vortex 1	1.0	0.0	-6.28
Vortex 2	-1.0	0.0	6.28
Vortex 3	0.0	1.73	12.57

Example 6: Collapse of Three Vortices

In this example we will simulate the collapse of three vortices The parameters are presented in the table below. To run this example enter the following command in your terminal in the project root:

$ make example6

	x position	y position	Circulation
Vortex 1	-1.0	0.0	12.57
Vortex 2	1.0	0.0	12.57
Vortex 3	1.0	1.41	-6.28

Example 7: Circular Cylinder

In this example we will show the plots for a circular cylinder The parameters are presented in the table below. To run this example enter the following command in your terminal in the project root:

$ make example7

	x position	y position	Circulation	Radius	Velocity	Incidence
Cylinder 1	0.0	0.0	12.57	1.0	10.0	0.0

Example 8: Joukowski Aerofoil

In this example we will visualize a Joukowski aerofoil Please note that the flow_element.JoukowskiElement has not been checked for correctness. To run this example enter the following command in your terminal in the project root:

$ make example8

Example 9: Pair of Counter Rotating Vortices with Vertical Wall

In this example we will simulate a pair of counter-rotating vortices with a vertical wall at \(x = 5\). The parameters are presented in the table below. To run this example enter the following command in your terminal in the project root:

$ make example9

	x position	y position	Circulation
Vortex 1	0.0	0.5	6.3
Vortex 2	0.0	-0.5	-6.3

Example 10: Pair of Counter Rotating Vortices with Two Walls

In this example we will simulate a pair of counter-rotating vortices. Two walls are added to the flow: a vertical wall at \(x = 4\) and a horizontal wall at \(y = 1\). The parameters are presented in the table below. To run this example enter the following command in your terminal in the project root:

$ make example10

	x position	y position	Circulation
Vortex 1	0.0	0.5	6.3
Vortex 2	0.0	-0.5	-6.3