Expert-level meteorology covering atmospheric dynamics, thermodynamics, synoptic meteorology, mesoscale systems, numerical weather prediction, and climate dynamics.
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Troposphere: weather occurs here, temperature decreases with height, 0-12 km. Stratosphere: temperature increases with height, ozone layer, 12-50 km. Tropopause: boundary between troposphere and stratosphere. Standard atmosphere: reference profile of temperature, pressure, density vs altitude.
Dry adiabatic lapse rate: 9.8 K/km for unsaturated air. Moist adiabatic lapse rate: 4-7 K/km for saturated air. CAPE: convective available potential energy — thunderstorm intensity indicator. Skew-T diagram: thermodynamic diagram for atmospheric sounding analysis. Lifting condensation level: altitude where air parcel reaches saturation.
Geostrophic wind: balance between pressure gradient and Coriolis force. Thermal wind: vertical wind shear related to horizontal temperature gradient. Vorticity: rotation of air parcels, positive cyclonic in Northern Hemisphere. Jet stream: fast upper-level winds guiding surface weather systems.
Fronts: boundaries between air masses — cold, warm, occluded, stationary. Cyclones: low pressure systems, convergence at surface, rising air, clouds. Anticyclones: high pressure, divergence, sinking air, clear skies. Norwegian cyclone model: development and occlusion of mid-latitude cyclones.
Primitive equations: Navier-Stokes + thermodynamics + continuity. Grid models: finite difference or spectral, GFS, ECMWF. Ensemble forecasting: multiple runs with perturbed initial conditions. Data assimilation: 4D-Var, EnKF — merge observations into model state.
| Pitfall | Fix |
|---|---|
| Over-relying on single model | Always compare multiple NWP products |
| Ignoring mesoscale effects | NWP coarse resolution misses local terrain effects |
| CAPE without shear context | High CAPE needs wind shear for severe weather |
| Forgetting Coriolis in dynamics | Essential for large-scale flow patterns |
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Expert-level abstract algebra knowledge. Use when working with groups, rings, fields, modules, Galois theory, representation theory, or algebraic structures. Also use when the user mentions 'group', 'ring', 'field', 'homomorphism', 'isomorphism', 'normal subgroup', 'quotient group', 'Sylow theorem', 'Galois theory', 'polynomial ring', 'ideal', 'module', 'vector space', or 'representation theory'.
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Expert-level acoustics knowledge. Use when working with sound waves, acoustic propagation, resonance, standing waves, Doppler effect, room acoustics, ultrasound, noise control, musical acoustics, or architectural acoustics. Also use when the user mentions 'sound wave', 'decibel', 'frequency', 'resonance', 'standing wave', 'Doppler effect', 'acoustic impedance', 'reverberation', 'ultrasound', 'noise control', 'harmonics', or 'sound intensity'.
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Expert-level aerodynamics covering subsonic and supersonic flow, lift and drag, airfoil theory, boundary layers, compressible flow, and CFD methods.
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Expert-level air quality engineering covering pollutant sources, atmospheric dispersion, air quality standards, emission controls, and air quality modeling.
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Expert-level aircraft structures covering structural design philosophy, wing and fuselage analysis, fatigue and damage tolerance, composite structures, and certification.
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Expert-level algorithms and complexity theory covering sorting, searching, graph algorithms, dynamic programming, greedy algorithms, NP-completeness, and algorithm design paradigms.
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