AcuSolve supports three different approaches for
computing the flow near no-slip walls. These options enable you to choose whether you want
to compute the near wall flow profile explicitly or approximate the near wall flow using a
wall function.
The first option for computing turbulent boundary layers is to fully resolve them.
When computing the near wall gradients explicitly,
AcuSolve integrates the governing equations directly to the
wall. As a result, this option is more accurate, provided that sufficient mesh
density is used.
(defined below) of the first mesh point must be less
than 10 (preferably 5); otherwise, gross errors in traction, heat flux, and mass
transfer may result. This option is typically used for applications where the near
wall flow profile plays an important role in the physics of the simulation, that is,
cases having adverse pressure gradients, flow separation, and so on. This option is
activated by specifying the
turbulence_wall_type =
low_reynolds_number (or
low_re) parameter in
the
SIMPLE_BOUNDARY_CONDITION command.
(1)
where
is the viscosity,
is the turbulent friction velocity,
is the wall shear stress,
is the density.
The second type of wall treatment for turbulent boundary layers allows you to
approximate the near wall flow field, without using fine near wall mesh, by
employing wall functions. This approach can greatly reduce the size of a mesh by
eliminating the need for fine mesh spacing normal to no-slip walls. When this
approach is applied, AcuSolve assumes a shape for the
near wall flow field. This assumed profile is based on the “Law of the Wall” for
turbulent boundary layers. The “Law of the Wall” is a relation that is based on
theoretical and experimental arguments and relates the stream wise velocity profile
with the normal distance from the wall. This relation was formulated for fully
developed boundary layers with favorable pressure gradients. This option is
activated by specifying the turbulence_wall_type =
wall_function (or func) parameter in the
SIMPLE_BOUNDARY_CONDITION command.
of the first mesh point may be as large as 300.