sailfish.mesh.LogSphericalMesh

class sailfish.mesh.LogSphericalMesh(r0: float = 1.0, r1: float = 10.0, num_zones_per_decade: int = 1000, scale_factor_derivative: Optional[float] = None, polar_grid: bool = False, polar_extent: float = 3.141592653589793)[source]

Bases: NamedTuple

A 1D or 2D mesh with logarithmic radial binning and homologous expansion.

The comoving coordinates are time-independent; proper distances are affected by the scale factor derivative.

__init__()

Methods

`__init__`()
`cell_coordinates`(t, i, j)	Return the 2D (r, theta) zone center proper coordinates at index (i, j).
`count`(value, /)	Return number of occurrences of value.
`faces`([i0, i1])	Return radial face positions for zone indexes in the given range.
`index`(value[, start, stop])	Return first index of value.
`min_spacing`([time])	Return the smallest grid spacing.
`radial_vertices`(time)	Return a list of proper coordinates of the radial zone interfaces.
`scale_factor`(time)	Return the scale factor at a given time.
`zone_center`(t, i)	Return the proper radial coordinate of the ith zone center.
`zone_centers`(t[, i0, i1])

Attributes

`num_polar_zones`
`num_radial_zones`
`num_total_zones`
`num_zones_per_decade`	Alias for field number 2
`polar_extent`	Alias for field number 5
`polar_grid`	Alias for field number 4
`polar_spacing`
`polar_vertices`	A list of the polar angles of the polar mesh faces
`r0`	Alias for field number 0
`r1`	Alias for field number 1
`scale_factor_derivative`	Alias for field number 3
`shape`

cell_coordinates(t, i, j)[source]: Return the 2D (r, theta) zone center proper coordinates at index (i, j).

count(value, /): Return number of occurrences of value.

faces(i0=0, i1=None)[source]

Return radial face positions for zone indexes in the given range.

The positions are given in comoving coordinates, i.e. are time-independent. The number of faces i1 - i0 + 1 is one more than the number of zones i1 - i0 in the index range.

index(value, start=0, stop=9223372036854775807, /)

Return first index of value.

Raises ValueError if the value is not present.

min_spacing(time=None)[source]

Return the smallest grid spacing.

If the time is provided, the result is a proper distance and the scale factor and its derivative are taken into account. Otherwise if no time is provided the result is the minimum comoving grid spacing.

num_zones_per_decade: int: Alias for field number 2

polar_extent: float: Alias for field number 5

polar_grid: bool: Alias for field number 4

property polar_vertices: A list of the polar angles of the polar mesh faces

r0: float: Alias for field number 0

r1: float: Alias for field number 1

radial_vertices(time)[source]: Return a list of proper coordinates of the radial zone interfaces.

scale_factor(time)[source]

Return the scale factor at a given time.

If the scale factor is not changing, it’s always equal to one. Otherwise, it’s assumed that a=0 at t=0.

scale_factor_derivative: float: Alias for field number 3

zone_center(t, i)[source]: Return the proper radial coordinate of the ith zone center.