The following is the simulation of the following non-diffusive transport equation in 2d :
(d/dt)F+(d/dx)*F+2*(d/dy)*F = 0
on the square -1<=x<=1, -1<=y<=1, for 0<=t<=1. The exact solution is specified along the sides with y=0 and x=0. The extrapolation conditions v(n+1,L,m)=v(n,L-1,m) and v(n+1,l,M)=v(n,l,M-1) have been applied along the sides xL=1 and yM=1, respectively. The exact solution is :
u0(x,y) = (1-2|x|)(1-2|y|) if |x|<=0.5 and |y|<=0.5 ; 0 otherwise
The explicit method have been used.
Last modified 22/12/99 by Juan de Lara ( Juan.Lara@ii.uam.es, http://www.ii.uam.es/~jlara) need help for using this courses?.