diff --git a/src/fvOptions/sources/derived/verticalDamping/verticalDamping.H b/src/fvOptions/sources/derived/verticalDamping/verticalDamping.H index 6cacfbca5..1eaef6aa7 100644 --- a/src/fvOptions/sources/derived/verticalDamping/verticalDamping.H +++ b/src/fvOptions/sources/derived/verticalDamping/verticalDamping.H @@ -32,9 +32,10 @@ Description Damping is achieved by applying a force to the momentum equation proportional to the momentum of the flow in the direction of gravity. The - constant of proportionality is given by a coefficient, lambda, which has - units of inverse-time. In the absence of any other forces this would + constant of proportionality is given by a coefficient \f$\lambda\f$ which + has units of inverse-time. In the absence of any other forces this would generate an exponential decay of the vertical velocity. + \f[ \frac{d (m u_z)}{d t} = - \lambda m u_z \f] @@ -42,11 +43,12 @@ Description u_z = u_{z0} e^{- \lambda t} \f] - Lambda should be set based on the desired level of damping and the residence - time of a perturbation through the damping zone. For example, if waves - moving at 2 [m/s] are travelling through a damping zone 8 [m] in length, - then the residence time is 4 [s]. If it is deemed necessary to damp for 5 - time-scales, then lambda should be set to equal 5/(4 [s]) = 1.2 [1/s]. + The coefficient \f$\lambda\f$ should be set based on the desired level of + damping and the residence time of a perturbation through the damping zone. + For example, if waves moving at 2 [m/s] are travelling through a damping + zone 8 [m] in length, then the residence time is 4 [s]. If it is deemed + necessary to damp for 5 time-scales, then \f$\lambda\f$ should be set to + equal 5/(4 [s]) = 1.2 [1/s]. Usage Example usage: