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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:
  • Form Continuity
  • Assumptions
  • Relationship
  • Substituting
  • Temperature
  • Interpretation
  • Total Derivative
  • Pressure Gradient
  • Atmospheres
  • Pressure Gradient Force
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Elementary Application of the Basic Equations For many applications it is preferable to work with the equations that govern atmospheric motions using an isobaric coordinate system. Basic Equations in Isobaric Coordinates Horizontal Momentum Equation We will neglect the curvature terms, friction force, and Coriolis force due to vertical motion. In height coordinates the horizontal momentum equation is then given by: D ? V Dt + f ? k ? V = ? 1 ? ?p, where ? V = u ? i + v ? j is the horizontal wind vector. Replace the pressure gradient force term with: ? 1 ? ?p = ?? p ? = ? ?? ?x ? ?? ?y In an isobaric coordinate system: D Dt = ? ?t + u ? ?x + v ? ?y +? ? ?p , where ? ? Dp Dt How does this differ from the expression for a total derivative in a height based coordinate system? What is the physical interpretation of ?? The horizontal momentum equation ...

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