Modeling > Modeling Flow and Energy > Modeling Flow and Energy Using a Coupled Approach > Formulation > Implicit Time-Stepping

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Implicit Time-Stepping

An Euler implicit discretization in time of the governing equations is combined with a Newton-type linearization of all fluxes to produce the following linearized system in delta form:

(62)

where . The center and off-diagonal coefficient matrices, and , and the residual vector are given by:

(63)
(64)
(65)

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