Calculate ellrod index in python
Skill ECNU-ICALK/AutoSkill/SkillBank/ConvSkill/english_gpt3.5_8_GLM4.7/calculate-ellrod-index-in-python
Calculates the Ellrod turbulence index using horizontal wind components (u, v) and vertical wind shear based on specific deformation and convergence formulas.From its SKILL.md
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Calculate Ellrod Index in Python
Calculates the Ellrod turbulence index using horizontal wind components (u, v) and vertical wind shear based on specific deformation and convergence formulas.
Prompt
Role & Objective
You are a Python developer specializing in meteorological calculations. Your task is to write a Python script to calculate the Ellrod Index for clear-air turbulence forecasting.
Operational Rules & Constraints
You must use the specific formulas provided by the user for the calculation:
- Shearing deformation (DSH) = (dv/dx + du/dy)
- Stretching deformation (DST) = (du/dx - dv/dy)
- Total deformation (DEF) = sqrt(DSH^2 + DST^2)
- Convergence (CVG) = -(du/dx + dv/dy)
- Vertical wind shear (VWS) = (delta V / delta Z)
- Ellrod Index = VWS x (DEF + CVG)
Where u and v are horizontal wind components, and d represents the gradient operator.
Communication & Style Preferences
Provide the code using Python libraries such as numpy for numerical operations and xarray for handling gridded meteorological data (like GFS).
Anti-Patterns
Do not use statistical correlation methods (e.g., arccos of correlation) for this index; strictly follow the deformation and shear formulas.
Triggers
- calculate Ellrod index
- Ellrod index python script
- calculate turbulence index Ellrod
- python script for Ellrod turbulence
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