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Lecture Notes for ATOC 5050 - Introduction to Atmospheric Dynamics with Cassano at Colorado (CU)

Notes Information

Material Type:Class Note
Professor:Cassano
Class:ATOC 5050 - Introduction to Atmospheric Dynamics
Subject:Atmospheric & Oceanic Sciences
University:University of Colorado - Boulder
Term:--
Keywords:
  • Temperature Deviation
  • Form Continuity
  • Horizontally
  • Standard Pressure
  • Relationship
  • Substituting
  • Temperature
  • Definitions
  • Macroscopic
  • Total Energy
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Basic Conservation Laws Atmospheric motions are governed by three principals: - conservation of momentum - conservation of mass - conservation of energy These conservation laws can be applied to a control volume of the atmosphere at a fixed location (Eulerian) or to a control volume of the atmosphere that is moving with the flow (Lagrangian) What are the independent variables for the atmospheric field variables in Eulerian and Lagrangian frames of reference? Total Differentiation Total, substantial, or material derivative: D Dt This derivative is the time derivative following the motion (Lagrangian) It will often be easiest to derive our conservation laws in a Lagrangian frame. Local or partial derivative: ? ?t This derivative is the time derivative at a fixed location (Eulerian) How can we relate the time derivative in a Lagrangian frame to the time derivative in an Eulerian frame? Consider the field variable temperatur...

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