Changes between Version 22 and Version 23 of doc/tec/advection

Timestamp:

Aug 19, 2015 6:13:39 PM (10 years ago)

Author:

suehring

Comment:

--

doc/tec/advection

@@ -61 +61 @@
 
 Due to the large stencil of WS5, additional ghost layers are necessary on each lateral boundary of each processor subdomain to avoid local data dependencies. Therefore, the exchange of ghost layers is adapted to a dynamic number of ghost layers. 
-For the bottom and top boundaries, lateral non-cyclic boundaries and near topography walls a successive degradation from WS5 to WS3 to a 1^st^ order scheme is required. The used 1^st^ order scheme is based on a flux discretization to ensure consistency with the WS-schemes. The PW-scheme cannot be used, because its a skew symmetric discretization. 
-
+For the bottom and top boundaries, lateral non-cyclic boundaries as well as near topography walls the order of the discrertization is successively degraded from WS5 to WS3 to a 1^st^ order scheme. 
+The degradation is controlled by three-dimensional bit flags, where several bits mark the order of the advection scheme in the x-, y-, and z-direction. 
+Technically, in case of topography, advective fluxes are calculated for the first-, third-, and fifth-order discretization at each grid point, while the respective bit controls which discretization is finally used.   
+In the following, the respective flags are listed:  
+
+||='''Array'''  =||='''Bit'''  =||='''Meaning'''  =||
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+0
+}}}
+{{{#!td style="vertical-align:top"
+scalar advection in the x-direction: first order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+1
+}}}
+{{{#!td style="vertical-align:top"
+scalar advection in the x-direction: third order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+2
+}}}
+{{{#!td style="vertical-align:top"
+scalar advection in the x-direction: fifth order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+3
+}}}
+{{{#!td style="vertical-align:top"
+scalar advection in the y-direction: first order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+4
+}}}
+{{{#!td style="vertical-align:top"
+scalar advection in the y-direction: third order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+5
+}}}
+{{{#!td style="vertical-align:top"
+scalar advection in the y-direction: fifth order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+6
+}}}
+{{{#!td style="vertical-align:top"
+scalar advection in the z-direction: first order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+7
+}}}
+{{{#!td style="vertical-align:top"
+scalar advection in the z-direction: third order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+8
+}}}
+{{{#!td style="vertical-align:top"
+scalar advection in the z-direction: fifth order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+9
+}}}
+{{{#!td style="vertical-align:top"
+u advection in the x-direction: first order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+10
+}}}
+{{{#!td style="vertical-align:top"
+u advection in the x-direction: third order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+11
+}}}
+{{{#!td style="vertical-align:top"
+u advection in the x-direction: fifth order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+12
+}}}
+{{{#!td style="vertical-align:top"
+u advection in the y-direction: first order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+13
+}}}
+{{{#!td style="vertical-align:top"
+u advection in the y-direction: third order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+14
+}}}
+{{{#!td style="vertical-align:top"
+u advection in the y-direction: fifth order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+15
+}}}
+{{{#!td style="vertical-align:top"
+u advection in the z-direction: first order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+16
+}}}
+{{{#!td style="vertical-align:top"
+u advection in the z-direction: third order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+17
+}}}
+{{{#!td style="vertical-align:top"
+u advection in the z-direction: fifth order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+18
+}}}
+{{{#!td style="vertical-align:top"
+v advection in the x-direction: first order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+19
+}}}
+{{{#!td style="vertical-align:top"
+v advection in the x-direction: third order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+20
+}}}
+{{{#!td style="vertical-align:top"
+v advection in the x-direction: fifth order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+21
+}}}
+{{{#!td style="vertical-align:top"
+v advection in the y-direction: first order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+22
+}}}
+{{{#!td style="vertical-align:top"
+v advection in the y-direction: third order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+23
+}}}
+{{{#!td style="vertical-align:top"
+v advection in the y-direction: fifth order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+24
+}}}
+{{{#!td style="vertical-align:top"
+v advection in the z-direction: first order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+25
+}}}
+{{{#!td style="vertical-align:top"
+v advection in the z-direction: third order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+26
+}}}
+{{{#!td style="vertical-align:top"
+v advection in the z-direction: fifth order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+27
+}}}
+{{{#!td style="vertical-align:top"
+w advection in the x-direction: first order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+28
+}}}
+{{{#!td style="vertical-align:top"
+w advection in the x-direction: third order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+29
+}}}
+{{{#!td style="vertical-align:top"
+w advection in the x-direction: fifth order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+20
+}}}
+{{{#!td style="vertical-align:top"
+w advection in the y-direction: first order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_0
+}}}
+{{{#!td  style="vertical-align:top"
+31
+}}}
+{{{#!td style="vertical-align:top"
+w advection in the y-direction: third order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_00
+}}}
+{{{#!td  style="vertical-align:top"
+0
+}}}
+{{{#!td style="vertical-align:top"
+w advection in the y-direction: fifth order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_00
+}}}
+{{{#!td  style="vertical-align:top"
+1
+}}}
+{{{#!td style="vertical-align:top"
+w advection in the z-direction: first order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_00
+}}}
+{{{#!td  style="vertical-align:top"
+2
+}}}
+{{{#!td style="vertical-align:top"
+w advection in the z-direction: third order
+}}}
+|----------------
+{{{#!td  style="vertical-align:top"
+wall_flags_00
+}}}
+{{{#!td  style="vertical-align:top"
+3
+}}}
+{{{#!td style="vertical-align:top"
+w advection in the z-direction: fifth order
+}}}
 
 === [=#statistical_evaluation Statistical evaluation of turbulent fluxes] ===