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Copy file name to clipboardExpand all lines: docs/documentation/case.md
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@@ -1390,7 +1390,7 @@ The entries labeled "Characteristic." are characteristic boundary conditions bas
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This boundary condition can be used for subsonic inflow (`bc_[x,y,z]%[beg,end]` = -7) and subsonic outflow (`bc_[x,y,z]%[beg,end]` = -8) characteristic boundary conditions. These are based on \cite Pirozzoli13. This enables to provide inflow and outflow conditions outside the computational domain.
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`bc_[x,y,z]%%vel_in_ramp` starts the inflow smoothly instead of holding it constant, which is what a jet or a tunnel accelerating from rest requires: the start-up is the event of interest, not a transient to be discarded. The inflow velocity is scaled by \f$f(t) = f_0 + (1 - f_0)\left[1 + \tanh\left(6 (t - t_0)/\tau - 3\right)\right]/2\f$, with \f$\tau\f$ = `vel_in_ramp`, \f$t_0\f$ = `vel_in_t0` and \f$f_0\f$ = `vel_in_frac0`, so it leaves \f$f_0\f$ of the final velocity at \f$t_0\f$ and is within half a percent of it at \f$t_0 + \tau\f$. A boundary with `vel_in_ramp = 0` is held constant, as before.
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`bc_[x,y,z]%%vel_in_ramp` starts the inflow smoothly instead of holding it constant, which is what a jet or a tunnel accelerating from rest requires: the start-up is the event of interest, not a transient to be discarded. The inflow velocity is scaled by \f$f(t) = f_0 + (1 - f_0)\left[1 + \tanh\left(6 (t - t_0)/\tau - 3\right)\right]/2\f$, with \f$\tau\f$ = `vel_in_ramp`, \f$t_0\f$ = `vel_in_t0` and \f$f_0\f$ = `vel_in_frac0`, so it leaves \f$f_0\f$ of the final velocity at \f$t_0\f$ and is within half a percent of it at \f$t_0 + \tau\f$. A boundary with `vel_in_ramp = 0` is held constant, as before. The ramp acts on a GRCBC inflow (`grcbc_in`) or on the ghost-cell velocity of a Dirichlet (-17) boundary or boundary patch normal to that direction, such as a nozzle set into a wall.
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