How to Use the app

Quick Start:

Once you've downloaded the app:

1. Choose a shape in the "Shape" drop-down menu.

2. Add the boundary potential that you want to simulate, term by term, as the sum of cosine wave and sine wave of different frequencies

3. Hit Plot button and watch the mixing!

Component Introduction:

(1): Sampled points: Determine how many points the user wants to sample on the boundary. A Larger value means higher accuracy but slower simulation speed.

(2): Shape: Select the boundary shape.

If the user selects "flower", they can adjust the width and the number of petals in the panel below.

(3) Number of Regions: Determine the number of regions that the tracer are put into.

(4): Plot Speed: Determine how fast the simulation is displayed. Note for large sampled point, selecting 'fast' is still very slow due to the nature of the

(5): Numer of Steps: Determine the number of time-stepping the app simulates.

(6): Plot Button: Hit this button to plot.

(7) Current Step: This label keeps track of which step are we at during our simulation

(8) Entry Panel:

(i) Edit the coefficient c of the wave.

(ii) Edit the frequency a of the wave.

(iii) Choose the type of wave (sine or cosine).

(iv) Add the wave to potential in the form of ccos(at) or csin(at)

(v) Delete the last cosine or sine entry added, respectively.

(9) Check Panel: Press the Check button to check what wave the user has typed in. The result is going to be displayed in the 'function' list box.