[...]... 11 3 5 .10 .4 Stability Criterion for Diffusion Terms 11 5 5 .10 .5 Full-Slip, Semi-Slip and No-Slip Conditions 11 5 5 .10 .6 Task Description 11 6 5 .10 .7 Sample Code 11 7 5 .10 .8 Results 11 7 5 .10 .9 Additional Exercises for the Reader 11 8 6... 11 1 5.9.2 Formulation of the Nonlinear Terms 11 1 5.9.3 Sample Code 11 1 5.9.4 Results 11 2 5 .10 Exercise 14 : Island Wakes 11 2 5 .10 .1 Aim 11 2 5 .10 .2 The Reynolds Number 11 3 5 .10 .3 Inclusion... 11 9 6 .1 The Complete Shallow-Water Equations 11 9 6 .1. 1 Description 11 9 6 .1. 2 Implementation of the Coriolis Force 11 9 6.2 Coastal Kelvin Waves 12 0 6.2 .1 Theory 12 0 6.3 Exercise 15 : Coastal Kelvin Waves 12 1... 14 9 6 .10 .6 Additional Exercise for the Reader 14 9 The Reduced-Gravity Concept 14 9 6 .11 .1 Background 14 9 6 .11 .2 The Rigid-lid Approximation 15 0 Geostrophic Adjustment of a Density Front 15 1 6 .12 .1 Background 15 1 6 .12 .2... 15 2 6 .12 .3 Theory 15 3 Exercise 20: Geostrophic Adjustment 15 5 6 .13 .1 Aim 15 5 6 .13 .2 Task Description 15 5 Contents 6 .14 6 .15 6 .16 6 .17 6 .18 xv 6 .13 .3 Results 15 6 6 .13 .4 Sample Code and... 10 9 5.8 .1 Aim 10 9 5.8.2 Task Description 10 9 5.8.3 Results 10 9 5.8.4 Sample Code and Animation Script 11 1 Contents xiii 5.9 Exercise 13 : Inclusion of Nonlinear Terms 11 1 5.9 .1 Aim 11 1 5.9.2... 15 7 6 .13 .5 Additional Exercise for the Reader 15 7 Baroclinic Instability 15 7 6 .14 .1 Brief Description 15 7 Exercise 21: Frontal Instability 15 8 6 .15 .1 Aim 15 8 6 .15 .2 Task Description 15 8 6 .15 .3... 15 9 6 .15 .4 Sample Code and Animation Script 16 1 6 .15 .5 Additional Exercise for the Reader 16 2 Density-Driven Flows 16 2 6 .16 .1 Background 16 2 Exercise 22: Reduced-Gravity Plumes 16 3 6 .17 .1 Aim 16 3 6 .17 .2 Task... 14 7 6.9.5 Additional Exercises for the Reader 14 7 Exercise 19 : Baroclinic Compensation 14 8 6 .10 .1 Background 14 8 6 .10 .2 Aim 14 8 6 .10 .3 Task Description 14 8 6 .10 .4 Results 14 9 6 .10 .5 Sample... 13 2 xiv Contents 6.6 6.7 6.8 6.9 6 .10 6 .11 6 .12 6 .13 Instability of Lateral Shear Flows 13 2 6.6 .1 Theory 13 2 6.6.2 Instability to Long Waves 13 4 Exercise 17 : Barotropic Instability 13 4 6.7 .1 Aim 13 4 6.7.2 Model . SampleCodeandAnimationScript 11 1 Contents xiii 5.9 Exercise 13 : Inclusion of Nonlinear Terms . . 11 1 5.9 .1 Aim 11 1 5.9.2 Formulation of the Nonlinear Terms . . . . . . 11 1 5.9.3 SampleCode 11 1 5.9.4 Results 11 2 5 .10 Exercise14:IslandWakes. . . . 11 5 5 .10 .5 Full-Slip,Semi-SlipandNo-SlipConditions 11 5 5 .10 .6 TaskDescription 11 6 5 .10 .7 SampleCode 11 7 5 .10 .8 Results 11 7 5 .10 .9 Additional Exercises for the Reader . . . . . . . 11 8 6. . . . . 15 7 6 .14 .1 BriefDescription 15 7 6 .15 Exercise 21: Frontal Instability 15 8 6 .15 .1 Aim 15 8 6 .15 .2 TaskDescription 15 8 6 .15 .3 Results 15 9 6 .15 .4 SampleCodeandAnimationScript 16 1 6 .15 .5 Additional