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As with all nonlinear coupled differential equations, one has three distinct iterative processes in solution of NAS equations.
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Similar structure is seen for set of coupled Ordinary differential equations describing electrical transmission networks.
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1)First Iteration is due to nonlinearity of equations: one linearizes the nonlinear CFD equations as in equation (3.17) by Taylor expansion
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to make equations linear in
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the unknown Un+1.
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2)Second Iteration is that needed for fixed n, to solve the implicit equations for DUn
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governed by matrix
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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.
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