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EX2010 Mathematics - Computing Coursework C-Cwo(y) West North C=Cnc (X) South дс = 0 By Oc =0 ax East x In a rectangular domain illustrated above, the concentration C satisfies the following advection- diffusive equation, ac ac (a²c a²c\ ас at ax +u+v. =Г ду + in which u and v are velocity in x and y directions; I' is a diffusion coefficient. The length L and width Ly of the domain are 50 m and 1 m, respectively. The corresponding boundary conditions are a On the west boundary x=0: C = Cwo(y) = Cya (y-1)) where Cya is the centration at y ya and a is a coefficient. In this problem, ya=0.1, Cya = 1.0 and α = 1/8; ⚫ On the north boundary y = Ly: C ⚫ On the east boundary x = Lx: = 0 = CnL(x) = 0; ac ax ⚫ On the south boundary y = 0:3 дс = 0 ay At the initial time, C=0. You are asked to calculate the concentration distribution at /= 100s using the finite difference method. For simplicity, both the velocity and the diffusion coefficient are specified as constant values, i.e. u = 1.5 m/s, v =…