Simulations for Paper 2

[alec-glisman]

This issue details the simulations I need to run for paper 2 data and how I will accomplish that. One can find updates in further comments.

All simulations will be a collinear swimmer wall (image) system.

TODO

• [x] Check what is the largest finite $\Delta t$ that I can use for simulations (look at isolated collinear swimmer)
• [ ] Swimmer initially parallel to the wall. Plot $U_z$ vs. $z$ and $U_z$ vs. $t$ of the locater point.
• [ ] Swimmer initially perpendicular to the wall. Plot $U_z$ vs. $z$ and $U_z$ vs. $t$ of the locater point.

[alec-glisman]

Settings decided on (from Perl script):

# Simulation variables
my $dt          = 1.00e-4;
my $R_avg       = 3.50e+0;
my $phase_angle = -1.57079632679e+0;
my $U0          = 1.40e+0;
my $omega       = 1.00e+0;

Relative error of net displacement between dt = 1e-4 and 1e-7 was less than 1e-6. Satisfactory for purposes