------------------------------------------------------------------------- PHYS210 2009-11-12 LAB SUMMARY 1) Solution of advection equation 2) Optional modifications of advect.m 3) Free time to work on homework, term projects +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1) Solution of advection equation +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ See the following octave source files in /home/phys210/octave - advect.m - advectloop.m - tadvect.m Execute tadvect.m to run the demo of the solution of the advection equation using the FDA discussed in class % octave >> tadvect +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 2) Optional modifications of advect.m +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Produces (slightly) modified versions of advect.m (call them advect1.m and advect2.m) that use the other two O(h) approximations to the advection equation at x = 0 that we discussed in class. Test your implementations my writing your own driver scripts or by modifying tadvect.m appropriately. What can you conclude about the pros/cons of using the various approximations? Can you think of a way to increase the accuracy of the calculation at x = 0? +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 3) Free time to work on homework, term projects +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ROCK ON!!