Module 5: GROUNDWATER TRANSPORT PROCESS

Lecture 37: Solution of Advection-Diffusion equation using MATLAB

Main Programme

The code can be executed by running the main programme. Fig. 37.1 shows the solution of the diffusion equation obtained using the pdepe function available in Matlab. This solution is similar to the solution obtained using the equation (35.53).

Fig. 37.1 Solution of the diffusion equation obtained using pdepe function

Solution of advection-dispersion equation

The advection-dispersion equation as derived earlier can be written as

(37.15)

 

(37.16)

 

(37.17)

(37.18)

 

 

 

(37.19)

(37.20)

(37.21)

(37.22)