Modeling > Modeling Flow and Energy > Modeling Flow and Energy Using a Coupled Approach > Formulation > Viscous Flux Discretization

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Viscous Flux Discretization

Boundary Faces

For slip walls, the viscous shear force at the wall boundary face, , simply set to zero.

For no-slip walls in laminar flow, Eqn. 356 is used to represent the velocity gradient tensor at the face:

(53)

where:

(54)

and is the specified wall tangential motion.

The stress tensor at the face is then given by:

(55)

For no-slip walls in turbulent flow, it is assumed that only the component of velocity parallel to the wall is of interest. A linear relationship between the wall shear force and the wall-parallel component of the difference in velocity between the wall and the cell is hypothesized:

(56)

Using the definitions of wall shear stress magnitude () and reference velocity (), the coefficient of proportionality is:

(57)

The reference velocity is computed according to the specific turbulence model. The value of is obtained (as a function of ) from the appropriate wall law.

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