1. Assume a wide rectangular of 1000 m long. initial distribution of an arbitary concentration is given as below :
Consider a pure advection problem find out the concentration profile after 10 minutes, Assume u = 1 m/sec.
Solve the problem using the following different methods :
A) Forward time and backward space finite difference
b) Box finite different method
c) MacCormack scheme
Compare result of different methods and discuss the merits and demerits of individual methods.