As with all nonlinear coupled differential equations, one has three distinct iterative processes in solution of NAS equations.
-
Similar structure is seen for set of coupled Ordinary differential equations describing electrical transmission networks.
|
1)First Iteration is due to nonlinearity of equations: one linearizes the nonlinear CFD equations as in equation (3.17) by Taylor expansion
|
to make equations linear in
|
the unknown Un+1.
|
2)Second Iteration is that needed for fixed n, to solve the implicit equations for DUn
|
governed by matrix
|
3)Third Iteration is that in index n needed to evolve in time t. In our case where time is somewhat artificial as only need steady state solution, one can view n as labelling iterative solution to steady state equations of CFD.
|