atmBoundaryLayerInletEpsilon
boundary condition provides a generalised log-law type ground-normal inlet boundary condition for the turbulent kinetic energy dissipation rate, i.e. epsilon
, for homogeneous, two-dimensional, dry-air, equilibrium and neutral atmospheric boundary layer modelling.atmBoundaryLayerInletEpsilon
boundary condition inherits the traits of the atmBoundaryLayer, and inletOutlet.The ground-normal turbulent kinetic energy dissipation rate profile expression, i.e. epsilon
(([99], Eq. 22), ([63], Eq. 8), ([24], Eq. 7 when C1=0 and C2=1)):
\[ \epsilon = \frac{(u^*)^3}{\kappa (z - d + z_0)} \sqrt{C_1 \ln \left( \frac{z - d + z_0}{z_0} \right) + C_2} \]
where
\( \epsilon \) | = | Ground-normal turbulent kinetic energy dissipation rate profile [m2/s3] |
\( u^* \) | = | Friction velocity [m/s] |
\( \kappa \) | = | von Kármán constant [-] |
\( z \) | = | Ground-normal coordinate component [m] |
\( z_0 \) | = | Aerodynamic roughness length [m] |
\( d \) | = | Ground-normal displacement height [m] |
\( C_1 \) | = | Curve-fitting coefficient for [99] profiles [-] |
\( C_2 \) | = | Curve-fitting coefficient for [99] profiles [-] |
Example of the boundary condition specification:
inlet { // Mandatory entries (unmodifiable) type atmBoundaryLayerInletEpsilon; // Mandatory (inherited) entries (runtime modifiable) flowDir (1 0 0); zDir (0 0 1); Uref 10.0; Zref 0.0; z0 uniform 0.1; d uniform 0.0; // Optional (inherited) entries (unmodifiable) kappa 0.41; Cmu 0.09; initABL true; phi phi; C1 0.0; C2 1.0; // Conditional mandatory (inherited) entries (runtime modifiable) value uniform 0; // when initABL=false }
where the entries mean:
Property | Description | Type | Required | Default |
---|---|---|---|---|
type | Type name: atmBoundaryLayerInletEpsilon | word | yes | - |
The inherited entries are elaborated in:
Tutorial:
Source code:
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