Physical Processes - Coastal Lagoons: Ecosystem Processes and Modeling for Sustainable Use and Development - page 41

3

Physical Processes

Georg Umgiesser and Ramiro Neves

CONTENTS

3.1 Introduction to Transport Phenomena

3.2 Fluxes and Transport Equation

3.2.1 Velocity and Diffusivity in Laminar and Turbulent
Flows and in a Numerical Model
3.2.2 Advective Flux
3.2.3 Diffusive Flux
3.2.4 Elementary Area and Elementary Volume
3.2.5 Net Flux across a Closed Surface

3.3 Transport and Evolution

3.3.1 Rate of Accumulation
3.3.2 Lagrangian Form of the Evolution Equation
3.3.3 Eulerian Form of the Evolution Equation
3.3.4 Differential Form of the Transport Equation
3.3.5 Boundary and Initial Conditions

3.4 Hydrodynamics

3.4.1 Conservation Laws in Hydrodynamics
3.4.1.1 Conservation of Mass
3.4.1.2 Conservation of Momentum
3.4.1.2.1 The Euler Equations
3.4.1.2.2 The Euler Equations in a Rotating
Frame or Reference
3.4.1.2.3 The Navier-Stokes Equations
3.4.1.3 Conservation of Energy
3.4.1.4 Conservation of Salt
3.4.1.5 Equation of State
3.4.2 Simplification and Scale Analysis
3.4.2.1 Incompressibility
3.4.2.2 The Hydrostatic Approximation
3.4.2.3 The Coriolis Force
3.4.2.4 The Reynolds Equations
3.4.2.5 The Primitive Equations
3.4.3 Special Flows and Simplifications in Dimensionality
3.4.3.1 Barotrophic 2D Equations

3.4.3.2 1D Equations (Channel Flow)