Project 2    CMSC 655




       In this project you will gain experience in solving relatively large
  systems of non-linear equatins by Newton's method or variations of
  Newton's method. There are actually two projects from which you can choose
  from. One of them is relatively easy (A) and one of them is relatively
  demanding (B).
  The easier one when done to completion is worth at most 70 points and the
  more demanding one is worth 110 points. You should give some careful
  thought as to which option you will select.

      Project (A) involves computing one-dimensional flow down a duct
      of constant width. The due date for project (A) is Oct. 30.

      Project (B) involves solving the "Transonic Small Disturbance
      Equation". That is, computing transonic flow over thin airfoils.
      The due date for project (B) is Nov. 4. In order to do this project
      you will need to carefully read a Technical Report that I give you
      and implement one of the three methods discussed in it. 

  In both case, you should include graphical output with your presentation
  of results. In the case of project(A) you should give a velocity profile
  within the duct for 32 and 64 mesh points.

  In the case of project (B) you should include:
     a)  contour and surface plots  of the velocity. The .ps plots you
         send me should be colored showing i) subsonic flow ii) sonic
         flow iii) supersonic flow and any shocks.