Overview

Category: Incompressible
steady state
incompressible
Turbulence
evolves the flow system to reach a target average velocity
useful to set velocity and turbulence inflow conditions based on a fully developed flow profile

Equations

The velocity is modelled according to the equation

\[ \div \tensor{R}_{dev} = \grad p + S_U \]

where the velocity and pressure gradient are corrected to achieve the target velocity $ \overline{\u} $. After solving the above equation, the velocity is corrected from the current volume-averaged velocity, i.e.

\[ \u^{n+1} = \u^n + \left( \overline{\u} - \overline{\u}^n \right) \]

and the pressure gradient from:

\[ \left(\grad p\right)^{n+1} = \left(\grad p\right)^{n} + \overline{\frac{1}{\mat{A}}\left( \overline{\u} - \overline{\u}^n \right)} \]

where the averages are calculated as volume averages.

Input requirements

Mandatory fields:

p: kinematic pressure [m2/s2]
U: velocity [m/s]

Physical models

turbulence: constant/turbulenceProperties
finite volume options : constant/fvOptions (optional)

Solution controls

Further information

Source code

$FOAM_APP/solvers/incompressible/boundaryFoam

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