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LabInstructions

Lab Eight

Particle Class

Properties

• Mass
• Position
• Velocity
• Drag coefficient

Methods

• Update (increments position and velocity)

Simulation Class

Inputs

• Wind vector
• List of particles with initial positions and velocities
• Time step

Methods

• Step
• Evolve
• Write data

Output

Rather than CSV formatted output, we're going to create VTK files, so that we can make a movie of our work. For each time step, write out a data set that contains all of the particle positions (and optionally the velocities).

Example of how to write out VTK polydata.

Initial Conditions

Let's assume we have 7 spheres with equal drag coefficients, but unequal masses. The particles are aligned along x = z = 0, starting from the origin, and separated by two meters each. At the start of the simulation, the particles are all launched with the same initial velocity.

Wind

( -10, 2, 0 )

Drag coefficient

1

Initial velocities

( 10, 0, 10 )

Masses

( 0.1, 0.2, 0.5, 1, 2, 5, 10 )

Positions

x = z = 0
y = ( 0, 2, 4, 6,..., 12 )

Visualization

Using ParaView or VTK, make a series of images from your simulation. Embed the first and last steps in your wiki page write up, and tar up the rest, in a file named FirstnameLastname.tar. Place the tar file in this folder in my home directory: /home/rpwagner/dropbox.