OpenFOAM guide/Steady-state

A problem whose solution does not vary with time. This assumption is valid in a stead-state problem:

$\frac{\partial \boldsymbol \Psi}{\partial t} = 0$

Steady-state problems are elliptic in nature. Implicit methods are well suited to solving these kinds of problems. They do so by introducing a non-zero time derivative, and iterating until it reaches zero. This effectively changes the problem to a parabolic one with a dummy time variable.

See also:

• Transient

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