Reference no: EM132680360
FVM for Advection-Diffusion Equation
Requirements:
1. Derive the detailed formulation for each of the two methods on five (5) equally spaced cells.
2. Tabulate the solutions on five (5) equally spaced cells in the following table:
3. Numerically verify the order of accuracy of each method using a series of grids nk = {5, 10, 20, 40} where nk is the number of grid cells.
(a) Compute the error for each grid using where φi is the numerical solution and φexact is the given exact solution at xi. hk = L/nk is the cell size.
(b) Compute the order of accuracy using where hk is the mesh size corresponding to nk and tabulate your results as follows.
Finite Difference Method (2)
4. Write a C program to solve the following Poisson equation on the domain [0, 1] [0, 1] using the finite difference method
Requirements:
• use central difference formulas to approximate second derivative terms in the Poisson equation.
• use the following pseudo code as a reference (Note this is Jacobi iteration).
Attachment:- Advection-Diffusion Equation.rar
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