Table 1
Correspondence between octant, directional angles (θ,ϕ), upwind cell indices, sizes of the upwind cell faces in each direction, and (αxu,αyu,αzu) factors.
| Octant | (θ,ϕ) (radians) | Upwind cell | Face fx | Face fy | Face fz | (αxu,αyu,αzu) | ||||
| indices | Δxu | Δyu | Δzu | |||||||
|
|
||||||||||
| 1 |
|
(i,j,k) | |−Δxi| | |−Δyj| | |−Δzk| | (−1, −1, −1) | ||||
| 2 |
|
(i + 1,j,k) | Δxi + 1 | |−Δyj| | |−Δzk| | (+1, −1, −1) | ||||
| 3 |
|
(i + 1,j + 1,k) | Δxi + 1 | Δyj + 1 | |−Δzk| | (+1, +1, −1) | ||||
| 4 |
|
(i,j + 1,k) | |−Δxi| | Δyj + 1 | |−Δzk| | (−1, +1, −1) | ||||
| 5 |
|
(i,j,k + 1) | |−Δxi| | |−Δyj| | Δzk + 1 | (−1, −1, +1) | ||||
| 6 |
|
(i + 1,j,k + 1) | Δxi + 1 | |−Δyj| | Δzk + 1 | (+1, −1, +1) | ||||
| 7 |
|
(i + 1,j + 1,k + 1) | Δxi + 1 | Δyj + 1 | Δzk + 1 | (+ 1, + 1, + 1) | ||||
| 8 |
|
(i,j + 1,k + 1) | |−Δxi| | Δyj + 1 | Δzk + 1 | (−1, +1, +1) | ||||
Notes. The quantities in this table are defined in Sects. 3.1 and 3.2. We intentionally use the absolute value notations above, in order to emphasize the coordinates, in the local coordinate system, of the upwind cell faces that may be intersected by a short-characteristic. For example, for octant 1, the x-coordinate of fx is x = −Δxi.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.