- Assignment 1
- Features an analytical solution for the 1D heat conduction equation.
- Both boundaries are kept insulated.
- Assignment 2
- Features an approximate solution to the 1D heat conduction equation using a standard FVM discretization in space and the explicit Euler method in time.
- The boundary is insulated for both x=0 and x=L
- Assignment 3
- Features an explicit upwind finite volume method for the 1D linear advection equation.
- For this specific case the advection velocity is u=-0.25 and the Courant number is C=-0.5.
- We let the right boundary condition coincide with the initial condition.