Matlab exercises

Steady 1-D heat Flow.
Here is your opportunity to write some finite-difference code to solve a steady heat flow problem with spatially variable source term and conductivity, and compare to an analytical solution.

More Steady 1-D heat Flow.
Here is your opportunity to write some finite-volume and finite-element code to solve a steady heat flow problem with spatially variable source term and conductivity, and compare to your earlier analytical solution.

In these exercises, you can modify the steady-state 2-D diffusion code described in class to explore variable grids, source and conductivity terms, and boundary conditions. Download main code: "diffusion_SS_2D_Practice_B.m", code setting up FVM equations "fvm_soln_SS_2D_Practice_B.m", and one-size-fits-all solver routine "solver.m". all under MATLAB CODE tab.

Transient diffusion in 1-D

You will modify your 1-D steady-state diffusion code from Homework #3 to solve the associated transient problem.

Steady diffusion in 1-D with nonlinear source

You will modify your 1-D steady-state diffusion code from Homework #3 to solve the associated problem with a solution-dependent source.