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Update 3.1 Code basics
authored
Jan 08, 2021
by
Udo Ziegler
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@@ -63,8 +63,8 @@ determining the coordinate system with canonical coordinates
| | geometry | canonical coordinates | metric scale factors |
| | | (
*x*
,
*y*
,
*z*
) | (
*h*
<sub>
*x*
</sub>
,
*h*
<sub>
*y*
</sub>
(
*x*
),
*h*
<sub>
*z*
</sub>
=
*h*
<sub>
*y*
</sub>
(
*x*
) ⋅
*h*
<sub>
*zy*
</sub>
(
*y*
)) |
| !
[
CART
](
uploads/5f4052ddeef58a9db3b74c9904879e35/CART.png
)
| CARTESIAN | (
*x*
,
*y*
,
*z*
) | (1, 1, 1) |
| !
[
image
](
../pic
/CYL.png
)
| CYLINDRICAL | (
*z*
,
*R*
,
*ϕ*
) | (1, 1,
*R*
) |
| !
[
image
](
../pic
/SPH.png
)
| SPHERICAL | (
*r*
,
*θ*
,
*ϕ*
) | (1,
*r*
,
*r*
⋅ sin
*θ*
) |
| !
[
CYL
](
uploads/5a1aea6b07b2ec9aca7f36aac8da0200
/CYL.png
)
| CYLINDRICAL | (
*z*
,
*R*
,
*ϕ*
) | (1, 1,
*R*
) |
| !
[
SPH
](
uploads/00d2f413938859f1cdb3cc8cd0c1ca71
/SPH.png
)
| SPHERICAL | (
*r*
,
*θ*
,
*ϕ*
) | (1,
*r*
,
*r*
⋅ sin
*θ*
) |
The grid is assumed evenly spaced in canonical coordinates with cell
sizes (or resolutions)
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