Welcome to Week 3 of mathematics for
engineers, the capstone course.
In this week, we'll solve the time-dependent equations
to find unsteady solutions that depend on time.
We'll apply periodic boundary conditions
in the polar angle theta and use
a second order finite difference method
to discretize the equations in space.
We'll solve the stream function equation
using a direct matrix method,
and we'll solve the vorticity equation
using a MATLAB Runge-Kutta integrator.
Your computational project will
be to write a code that time
advances the scalar vorticity field
at a Reynolds number of 60.
Please join me in this third and final week of
mathematics for engineers, the capstone course.