Development Equations

  2 Laws of Physics and basic equations

All of the tendency and development equations use the same set of basic laws of physics:

  • Law of Gravitation (Newton's 1st law)

  • Law of Conservation of Momentum (Newton's 2nd law)

  • Ideal Gas Law

  • Conservation of Mass

  • Conservation of Energy

The basic equations in isobaric coordinates that are used in this module to develop the tendency and development equations are:

  • Vorticity equation (including friction and orographic forcing)

    (1)

    Where and represent frictional and orographic effects

  • Thermodynamic equation

    (2)

    Continuity Equation

    (3)

  • Hypsometric Equation

    (4)