Changes between Version 8 and Version 9 of doc/tec/noncyclic


Ignore:
Timestamp:
May 8, 2013 2:20:58 PM (12 years ago)
Author:
fricke
Comment:

--

Legend:

Unmodified
Added
Removed
Modified
  • doc/tec/noncyclic

    v8 v9  
    148148{{{
    149149#!Latex
    150  \dot{m} = \sum_{k=1}^{nz-1} \Delta z(k) \sum_{l=0}^{nx_i} \psi(l,k) \Delta x_i \; , \quad (12)
     150  \dot{m} = \sum_{k=1}^{nz-1} \Delta z(k) \sum_{l=0}^{nx_i} \psi(l,k) \Delta x_i \; . \quad (12)
    151151}}}
    152 where Δx,,i,, and ψ is equal to Δy (Δx) and u (v) in case of [../../app/inipar/#bc_lr bc_lr] ([../../app/inipar/#bc_ns bc_ns]).
    153 The correction factor for the outflow velocity, which is necessary due to different mass fluxes at inflow and outflow, can be calculated by
    154 {{{
    155 #!Latex
    156  \psi_{corr} = \frac{\dot{m}_{inflow} - \dot{m}_{outflow}}{A} \; , \quad (13)
    157 }}}
    158 where A is the area of the boundary
    159 {{{
    160 #!Latex
    161  A = \sum_1^{nz-1} \Delta z \cdot \sum_0^{nx_i} \Delta x_i \; .
    162 }}
    163 The streamwise velocity at the outflow is corrected by adding ψ,,corr,, at each grid point of the outflow between bottom and top (k=1:nz), in order to guarantee that the mass leaving the domain exactly balances the one entering it.