1. Reinisch_ASD_85.5151 Chapter 2. Basic Conservation Laws x0x0 y0y0 z0z0 z y x U(x,y,z,t) mass element

2. Reinisch_ASD_85.5152 2.1 Total Differentiation ( in the Lagrangian frame)

3. Reinisch_ASD_85.5153 Local Temperature Change and Temperature Advection

4. Reinisch_ASD_85.5154 Example for Advection p East x West p(x) 180 km 300 Pa u=10km/h

5. Reinisch_ASD_85.5155 Total Differentiation of a Vector in a Rotating System

6. Reinisch_ASD_85.5156 Rotation i i’ i’ k  j

7. Reinisch_ASD_85.5157 Rotating Coordinate System

8. Reinisch_ASD_85.5158 2.2 Momentum Equation in a Rotating Coordinate System

9. Reinisch_ASD_85.5159 Absolute Derivation of U a

10. Reinisch_ASD_85.51510 Acceleration in Rotating Frame

11. Reinisch_ASD_85.51511 2.3 Using Spherical Coordinates  i k j R r  U

12. Reinisch_ASD_85.51512 2.3 cont’d

13. Reinisch_ASD_85.51513 2.3 cont’d

14. Reinisch_ASD_85.51514 Components of DU/Dt

15. Reinisch_ASD_85.51515 2.4 Scale Analysis (horizontal components)

16. Reinisch_ASD_85.51516 2.41 Geostrophic Approximation

17. Reinisch_ASD_85.51517 2.24 Rossby Number

18. Reinisch_ASD_85.51518 2.4.3 Hydrostatic Approximation

19. Reinisch_ASD_85.51519 2.5.1 The Continuity Equation Eulerian Derivation x y z xx yy zz x0x0 y0y0 z0z0

20. Reinisch_ASD_85.51520 Eulerian Derivation

21. Reinisch_ASD_85.51521 Eulerian Derivation

22. Reinisch_ASD_85.51522 Lagrangian Derivation

23. Reinisch_ASD_85.51523 Lagrangian Derivation xAxA xBxB UAUA UBUB x

24. Reinisch_ASD_85.51524 Lagrangian Derivation

25. Reinisch_ASD_85.51525 2.5.3 Scale Analysis of the Continuity Equation

26. Reinisch_ASD_85.51526 Scale Analysis

27. Reinisch_ASD_85.51527 2.6 Energy Conservation

28. Reinisch_ASD_85.51528 Rate of Change of Energy

29. Reinisch_ASD_85.51529 Rate of Work Done

30. Reinisch_ASD_85.51530

31. Reinisch_ASD_85.51531 Thermal Energy Equation

32. Reinisch_ASD_85.51532 Thermodynamic Energy Equation

33. Reinisch_ASD_85.51533 Thermodynamics of the Dry Atmosphere

34. Reinisch_ASD_85.51534 Potential Temperature

35. Reinisch_ASD_85.51535 Adiabatic Lapse Rate

36. Reinisch_ASD_85.51536 2.7.3 Static Stability

37. Reinisch_ASD_85.51537 Buoyancy Oscillations

38. Reinisch_ASD_85.51538 Buoyancy …