@@ -16,7 +16,7 @@ def calculate_structure_function_2d( # noqa: D417, C901
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boundary = "periodic-all" ,
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):
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"""
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- Calculate structure function, either advective or traditional .
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+ Calculate structure functions, including advective structure functions .
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Supports velocity-based structure functions and scalar-based structure functions.
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Parameters
@@ -55,41 +55,53 @@ def calculate_structure_function_2d( # noqa: D417, C901
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The returned dictionary may contain the following keys, with some keys
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removed if the structure function is not calculated:
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- **SF_advection_velocity_x**: The advection velocity structure function
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+ **SF_advection_velocity_x**: The advective velocity structure function
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in the x direction.
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- **SF_advection_velocity_y**: The advection velocity structure function
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+ **SF_advection_velocity_y**: The advective velocity structure function
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in the y direction.
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- **SF_advection_scalar_x**: The scalar structure function in the x
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+ **SF_advection_scalar_x**: The advective scalar structure function in the x
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direction.
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- **SF_advection_scalar_y**: The scalar structure function in the y
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+ **SF_advection_scalar_y**: The advective scalar structure function in the y
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direction.
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- **SF_LL_x**: The traditional structure function LL in the x direction.
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+ **SF_LL_x**: The second-order longitudinal velocity structure function
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+ in the x direction.
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- **SF_LL_y**: The traditional structure function LL in the y direction.
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+ **SF_LL_y**: The second-order longitudinal velocity structure function
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+ in the y direction.
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- **SF_TT_x**: The traditional structure function TT in the x direction.
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+ **SF_TT_x**: The second-order transverse velocity structure function
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+ in the x direction.
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- **SF_TT_y**: The traditional structure function TT in the y direction.
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+ **SF_TT_y**: The second-order transverse velocity structure function
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+ in the y direction.
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- **SF_SS_x**: The traditional structure function SS in the x direction.
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+ **SF_SS_x**: The second-order scalar structure function
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+ in the x direction.
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- **SF_SS_y**: The traditional structure function SS in the y direction.
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+ **SF_SS_y**: The second-order scalar velocity structure function
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+ in the y direction.
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- **SF_LLL_x**: The traditional structure function LLL in the x direction.
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+ **SF_LLL_x**: The third-order longitudinal velocity structure function
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+ in the x direction.
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- **SF_LLL_y**: The traditional structure function LLL in the y direction.
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+ **SF_LLL_y**: The third-order longitudinal velocity structure function
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+ in the y direction.
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- **SF_LTT_x**: The traditional structure function LTT in the x direction.
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+ **SF_LTT_x**: The third-order longitudinal velocity structure function
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+ in the x direction.
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- **SF_LTT_y**: The traditional structure function LTT in the y direction.
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+ **SF_LTT_y**: The third-order longitudinal-transverse-transverse velocity
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+ structure function in the y direction.
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- **SF_LSS_x**: The traditional structure function LSS in the x direction.
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+ **SF_LSS_x**: The third-order longitudinal-scalar-scalar structure function
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+ in the x direction.
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- **SF_LSS_y**: The traditional structure function LSS in the y direction.
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+ **SF_LSS_y**: The third-order longitudinal-scalar-scalar structure function
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+ in the y direction.
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"""
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inputs = {
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"u" : u ,
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