Notes and Readings

Lecture 1

Overview of primitive equations and regional model structure

Pielke: Chapter 2

 

Lecture 2

Primitive equations: Conservation of energy

Pielke: Chapter 2

Lecture 3

Primitive equations: Conservation of energy and momentum

Pielke: Chapter 2

 

Lecture 4

Primitive equations: Conservation of momentum and water,  tensor notation, definitions of meteorological scales

Pielke: Chapters 2 and 3

 

Lecture 5

Simplification of basic equations: Continuity

Pielke: Chapter 3

 

Lecture 6

Simplification of basic equations: Momentum

Pielke: Chapter 3

 

Lecture 7

Averaging the conservation relations: Reynold’s averaging and Boussinesq approximation

Pielke: Chapter 4

 

Lecture 8

Averaging the conservation relations: Flux form of primitive equations, Poisson equations for diagnostic relationships.  Physical and analytic modeling

Pielke: Chapters 4 and 5

Poisson equation notes

 

Physical and Analytic Modeling

Pielke: Chapter 5

Avissar et al. (1989)

Thunis and Bornstein (1996)

Weather in a Tank (BAMS article) and Link to Experiments

Stationarity is dead article

White et al. (1995) paper on spherical coordinate transformation


Lecture 9

 Shallow water gravity waves and tank model equations

Pielke, Chapter 5


Lecture 10

Defant model, introduction to methods of solution

Martin and Pielke (1983) paper on Defant model

Pielke, Chapter 5

 

Lecture 11

Methods of solution: advection

Pielke, Chapter 10

 

Lecture 12

Methods of solution: advection (continued)

Table 10-1 from Pielke

Pielke, Chapter 10 and Fovell notes, Chapter 4

Lecture 13

Methods of solution: advection (continued)

Pielke, Chapter 10 and Fovell notes, Chapter 5

 

Lecture 14

Methods of solution: diffusion, Coriolis force, pressure gradient force

Table 10-4 from Pielke

Pielke, Chapter 10

 

Lecture 15

Time splitting, aliasing

Pielke, Chapter 10 and Fovell notes Chapters 3 and 7

Lecture 16

Initial and boundary conditions

Pielke, Chapter 11

Fox-Rabinovitz et al. (1997) paper on stretched grid

Kasahara paper on vertical coordinate systems

 

Lecture 17

Initial and boundary conditions (continued)

Davies (1976) paper on lateral boundary forcing

von Storch et al. (2000) paper on spectral nudging

 

Lecture 18

Data assimilation primer, surface layer parameterization

Pielke, Chapter 7 and Stensrud, Chapter 2

 

Lecture 19

Surface layer parameterization (continued)

Pielke, Chapter 7 and Stensrud, Chapter 2

 

Lecture 20

Boundary layer parameterization

Pielke, Chapter 7 and Stensrud, Chapter 5

Bright and Mullen (2002)

 

Lecture 21

Convective parameterization

Stensrud, Chapter 6

Notes on Kuo Scheme

Original Kain-Fritsch description

Kain and Baldwin NCAR presentation (1)

Kain and Baldwin NCAR presentation (2)

 

See previous lecture notes and readings

Convective parameterization (continued)

 

Lecture 22

Cloud microphysical parameterization

Stensrud, Chapter 7

Summary of Lin Scheme in WRF

Ziegler et al. (1997)

Klemp and Wilhelmson (1978)

 

Lecture 23

Land Surface parameterization

Stensrud, Chapter 3, and Pielke, Chapter 11

Lecture 24

Radiation parameterization

Stensrud, Chapter 8 and Pielke, Chapter 8