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Atmospheric Science Calculations

atmospheric-science-calculations

Calculate atmospheric parameters including Coriolis parameter, geostrophic wind, heat index, potential temperature, and dewpoint for meteorology and climate science.

SKILL.md

Full skill instructions

Atmospheric Science Calculations

Usage

1. MCP Server Definition

import asyncio
import json
from mcp.client.streamable_http import streamablehttp_client
from mcp import ClientSession

class AtmSciClient:
    """Atmospheric Science Tools MCP Client"""

    def __init__(self, server_url: str, api_key: str):
        self.server_url = server_url
        self.api_key = api_key
        self.session = None

    async def connect(self):
        print(f"Connecting to: {self.server_url}")
        try:
            self.transport = streamablehttp_client(
                url=self.server_url,
                headers={"SCP-HUB-API-KEY": self.api_key}
            )
            self.read, self.write, self.get_session_id = await self.transport.__aenter__()
            self.session_ctx = ClientSession(self.read, self.write)
            self.session = await self.session_ctx.__aenter__()
            await self.session.initialize()
            print("✓ connect success")
            return True
        except Exception as e:
            print(f"✗ connect failure: {e}")
            return False

    async def disconnect(self):
        try:
            if self.session:
                await self.session_ctx.__aexit__(None, None, None)
            if hasattr(self, 'transport'):
                await self.transport.__aexit__(None, None, None)
            print("✓ already disconnect")
        except Exception as e:
            print(f"✗ disconnect error: {e}")

    def parse_result(self, result):
        try:
            if hasattr(result, 'content') and result.content:
                content = result.content[0]
                if hasattr(content, 'text'):
                    return json.loads(content.text)
            return str(result)
        except Exception as e:
            return {"error": f"parse error: {e}", "raw": str(result)}

2. Atmospheric Calculations Workflow

Calculate key atmospheric parameters for meteorology, climate science, and weather forecasting applications.

Workflow Steps:

  1. Calculate Coriolis Parameter - Compute Earth's rotation effect
  2. Calculate Geostrophic Wind - Determine wind from pressure gradients
  3. Calculate Heat Index - Assess human heat stress
  4. Calculate Potential Temperature - Standardize temperature measurements
  5. Calculate Dewpoint - Determine moisture content

Implementation:

## Initialize client
client = AtmSciClient(
    "https://scp.intern-ai.org.cn/​api/​v1/​mcp/​35/​AtmSci-Tool",
    "<your-api-key>"
)

if not await client.connect():
    print("connection failed")
    exit()

print("=== Atmospheric Science Calculations ===\n")

## Step 1: Calculate Coriolis parameter
print("Step 1: Coriolis Parameter")
latitude = 45.0  # degrees
result = await client.session.call_tool(
    "atm_calc_coriolis_parameter",
    arguments={"latitude": latitude}
)
result_data = client.parse_result(result)
print(f"Latitude: {latitude}°")
print(f"Coriolis parameter: {result_data} s⁻¹\n")

## Step 2: Calculate geostrophic wind
print("Step 2: Geostrophic Wind")
result = await client.session.call_tool(
    "atm_calc_geostrophic_wind",
    arguments={
        "pressure_gradient_x": 1.0,  # Pa/​m
        "pressure_gradient_y": 0.5,  # Pa/​m
        "latitude": latitude,
        "air_density": 1.225         # kg/​m³
    }
)
result_data = client.parse_result(result)
print(f"Geostrophic wind (u, v): {result_data} m/​s\n")

## Step 3: Calculate heat index
print("Step 3: Heat Index")
result = await client.session.call_tool(
    "atm_calc_heat_index",
    arguments={
        "temperature_f": 95.0,       # °F
        "relative_humidity": 65.0    # %
    }
)
result_data = client.parse_result(result)
print(f"Temperature: 95°F, Humidity: 65%")
print(f"Heat index: {result_data}°F\n")

## Step 4: Calculate potential temperature
print("Step 4: Potential Temperature")
result = await client.session.call_tool(
    "atm_calc_potential_temperature",
    arguments={
        "temperature_k": 288.15,     # K (15°C)
        "pressure_pa": 85000.0       # Pa (850 hPa)
    }
)
result_data = client.parse_result(result)
print(f"Temperature: 288.15 K, Pressure: 850 hPa")
print(f"Potential temperature: {result_data} K\n")

## Step 5: Calculate dewpoint
print("Step 5: Dewpoint Temperature")
result = await client.session.call_tool(
    "atm_calc_dewpoint",
    arguments={
        "temperature_c": 25.0,       # °C
        "relative_humidity": 60.0    # %
    }
)
result_data = client.parse_result(result)
print(f"Temperature: 25°C, Humidity: 60%")
print(f"Dewpoint: {result_data}°C\n")

## Step 6: Check for heatwave conditions
print("Step 6: Heatwave Detection")
temperatures = [32, 34, 35, 36, 35, 34]  # °C over 6 days
result = await client.session.call_tool(
    "atm_check_heatwave",
    arguments={
        "temperatures": temperatures,
        "threshold": 32.0,           # °C
        "min_duration": 3            # days
    }
)
result_data = client.parse_result(result)
print(f"Temperatures: {temperatures}°C")
print(f"Heatwave detected: {result_data}\n")

await client.disconnect()

Tool Descriptions

AtmSci-Tool Server:

  • atm_calc_coriolis_parameter: Calculate Coriolis parameter (f = 2Ω sin φ)

    • Args: latitude (float) - Latitude in degrees
    • Returns: Coriolis parameter in s⁻¹
  • atm_calc_geostrophic_wind: Calculate geostrophic wind from pressure gradient

    • Args: pressure_gradient_x, pressure_gradient_y (Pa/​m), latitude (deg), air_density (kg/​m³)
    • Returns: Wind components (u, v) in m/​s
  • atm_calc_heat_index: Calculate heat index (apparent temperature)

    • Args: temperature_f (°F), relative_humidity (%)
    • Returns: Heat index in °F
  • atm_calc_potential_temperature: Calculate potential temperature

    • Args: temperature_k (K), pressure_pa (Pa)
    • Returns: Potential temperature in K
  • atm_calc_dewpoint: Calculate dewpoint temperature

    • Args: temperature_c (°C), relative_humidity (%)
    • Returns: Dewpoint temperature in °C
  • atm_check_heatwave: Detect heatwave conditions

    • Args: temperatures (list), threshold (°C), min_duration (days)
    • Returns: Boolean indicating heatwave presence

Input/​Output

Inputs:

  • Temperatures in K, °C, or °F (as specified)
  • Pressures in Pa or hPa
  • Relative humidity in %
  • Latitude in degrees
  • Air density in kg/​m³

Outputs:

  • Coriolis parameter: s⁻¹
  • Wind speeds: m/​s
  • Temperatures: K, °C, or °F
  • Boolean flags for conditions

Use Cases

  • Weather forecasting and analysis
  • Climate model validation
  • Heat stress assessment for public health
  • Aviation meteorology
  • Agricultural meteorology
  • Renewable energy site assessment
  • Atmospheric research

Physical Interpretations

Coriolis Parameter:

  • Positive in Northern Hemisphere, negative in Southern
  • Zero at equator, maximum at poles
  • Critical for large-scale atmospheric circulation

Geostrophic Wind:

  • Theoretical wind resulting from pressure gradient force and Coriolis effect
  • Valid above atmospheric boundary layer
  • Actual winds deviate due to friction and other forces

Heat Index:

  • 80°F: Caution (fatigue possible)

  • 90°F: Extreme caution (heat exhaustion possible)

  • 103°F: Danger (heat stroke likely)

  • 125°F: Extreme danger

Potential Temperature:

  • Temperature air parcel would have if brought adiabatically to reference pressure (1000 hPa)
  • Conserved for adiabatic processes
  • Used to identify air masses and atmospheric stability

Dewpoint:

  • Temperature at which air becomes saturated
  • Higher dewpoint = more moisture
  • Dewpoint > 65°F feels humid
  • Dewpoint depression (T - Td) indicates saturation level

Additional Atmospheric Tools

  • atm_calc_standard_atmosphere: Calculate standard atmosphere properties
  • generate_synthetic_sounding: Create atmospheric sounding profiles
  • workflow_storm_diagnosis: Analyze storm conditions
  • workflow_wind_site_assessment: Assess wind energy potential
  • geo_calc_distance: Calculate geographic distances
  • stats_calc_anomaly: Calculate climate anomalies
  • stats_calc_rolling_mean: Compute running averages
  • stats_linear_trend: Determine climate trends

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