Sine Waves in 1D¤
exponax.ic.RandomSineWaves1d
¤
Bases: BaseRandomICGenerator
Source code in exponax/ic/_sine_waves_1d.py
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__init__
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__init__(
num_spatial_dims: int,
*,
domain_extent: float = 1.0,
cutoff: int = 5,
amplitude_range: tuple[float, float] = (-1.0, 1.0),
phase_range: tuple[float, float] = (0.0, 2 * jnp.pi),
offset_range: tuple[float, float] = (0.0, 0.0),
std_one: bool = False,
max_one: bool = False
)
Random generator for initial states described by a collection of sine waves. Only works in 1d.
Arguments:
- num_spatial_dims
: The number of spatial dimensions.
- domain_extent
: The extent of the domain.
- cutoff
: The cutoff of the wavenumbers. This limits the
"complexity" of the initial state. Note that some dynamics are
very sensitive to high-frequency information.
- amplitude_range
: The range of the amplitudes. Defaults to
(-1.0, 1.0)
.
- phase_range
: The range of the phases. Defaults to (0.0, 2π)
.
- offset_range
: The range of the offsets. Defaults to (0.0,
0.0)
, meaning zero-mean by default.
- std_one
: Whether to normalize the state to have a standard
deviation of one. Defaults to False
. Only works if the offset
is zero.
- max_one
: Whether to normalize the state to have the maximum
absolute value of one. Defaults to False
. Only one of
std_one
and max_one
can be True
.
Source code in exponax/ic/_sine_waves_1d.py
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__call__
¤
__call__(
num_points: int, *, key: PRNGKeyArray
) -> Float[Array, "1 ... N"]
Generate a random initial condition.
Arguments:
- num_points
: The number of grid points in each dimension.
- key
: A jax random key.
- indexing
: The indexing convention for the grid.
Returns:
- u
: The initial condition evaluated at the grid points.
Source code in exponax/ic/_base_ic.py
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exponax.ic.SineWaves1d
¤
Bases: BaseIC
Source code in exponax/ic/_sine_waves_1d.py
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__init__
¤
__init__(
domain_extent: float,
amplitudes: tuple[float, ...],
wavenumbers: tuple[float, ...],
phases: tuple[float, ...],
offset: float = 0.0,
std_one: bool = False,
max_one: bool = False,
)
A state described by a collection of sine waves. Only works in 1d.
Arguments:
- domain_extent
: The extent of the domain.
- amplitudes
: A tuple of amplitudes.
- wavenumbers
: A tuple of wavenumbers.
- phases
: A tuple of phases.
- offset
: A constant offset.
- std_one
: Whether to normalize the state to have a standard
deviation of one. Defaults to False
. Only works if the offset
is zero.
- max_one
: Whether to normalize the state to have the maximum
absolute value of one. Defaults to False
. Only one of
std_one
and max_one
can be True
.
Source code in exponax/ic/_sine_waves_1d.py
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__call__
¤
__call__(x: Float[Array, '1 N']) -> Float[Array, '1 N']
Source code in exponax/ic/_sine_waves_1d.py
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