ENME/NAME 4728/5728 Project 2 Due April 20, 2023 The 1-D steady state convection-diffusion equation without source term is governed by the equation: dxd(u)=dxd(dxd)0xL For this project, compute the numerical solution to this equation using the finite volume method as developed in this class. Apply the boundary conditions as Dirichlet boundary conditions. They are given as =2atx=0=1atx=L The parameters for this problem are: =0.25kg/(ms)L=1.0m0=2.0L=1.0=1.0kg/m3 Use 1st order upwind scheme for the convective term. Graduates: Also use central method for the convective term. Compute solutions using (a) u=0.25m/s (diffusion dominant), and (b) u=5.0m/s (convection dominant). For each case compute the solution on 20,40,80,160, and 320 cells, and calculate the L2-norm of the error (as for project 1). - Compute the Peclet number for each flow. - Plot the analytical solution for each case using the finest mesh along with the numerical solution for each cell spacing on one graph. (4 graphs total) - The analytical solution is given by Eqn. 5.15 in the book For the report, present the equations and boundary conditions, and tridiagonal coefficients for the interior and boundary cells (just the equations, not the numbers). just present them as a problem statement. Discuss figures