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fvm-conv_dif's Issues

Write Results along Diagonal

Write the value of phi along the diagonal from (0, ymax) to (xmax,0). Results along this line will clearly illustrate the deficiencies with the various schemes.

The output file (phi_oblique.dat) should be in two column format:

y phi

Improve read_input Function

  • Test if the input file exists
  • Make the input file a general file (not only grid data)
  • Allow the inputs to be listed in any order

Implement Derived Types (data structures)

There are lots of arrays and variables that could be arranged into data structures.

For example, all FVM coefficients (as, aw, ap, ae, an) could be organized in a single structure to aid in passing arrays to subroutines.

Implement Iterative Solvers

The current solution method is a direct method -- the Thomas algorithm for tri-diagonal matrices. This works by solving along N-S lines and treating W and E coefficients explicitly.

Add the option to choose iterative solvers (Jacobi, Gauss-Seidel, etc.) as an exercise.

Additionally, I can modularize all of the components of the Thomas algorithm procedure (e.g., bounds calculation, update_explicit, and thomas).

Fix bug in solution procedure

The Su vector (b in Ax = b) is not updated properly. After solving the first N-S line, Su is zero for all subsequent lines. This returns a result of zero when solving directly with the Thomas algorithm.

Add Residual Calculation

The code currently solves for phi for just one sweep of the grid. Now that this feature appears to work acceptably, I need to add a residual calculation and solve to a desired tolerance.

Remove Modules

I thought I had to use FORTRAN90 modules. These are like classes in OOP, but they felt like global arrays the way I was using them. This caused a lot of problems.

The solution is to, in the called subroutine, explicitly declare the size of the array when you make the intent(inout) statement.

Like in this lovely stackoverflow article.

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