The objective of Module I (9 credits): Transport Phenomena in Fluids is to provide in-depth knowledge of the dynamics of transport-diffusion-dispersion phenomena in surface water bodies, with particular reference to estuarine and coastal environments. The course aims to provide the skills necessary to develop mathematical models suitable for the treatment of the main phenomena of interest, as well as their application to the simulation and study of realistic cases. At the end of the course, students will be able to: understand and model the dynamics of transport-diffusion-dispersion phenomena, apply mathematical models of appropriate complexity to realistic cases, obtain numerical data and interpret their meaning.
The objective of Module I (6 credits): Ocean Dynamics is to provide in-depth knowledge of the dynamics of phenomena characterizing the dynamics of seas and oceans, with particular reference to estuarine and coastal environments. The course aims to provide the skills necessary to develop mathematical models suitable for the treatment of the main phenomena of interest, as well as their application to the simulation and study of realistic cases. Upon completion of the course, students will be able to: understand and model the dynamics of turbulent transport-diffusion-dispersion phenomena; apply mathematical models of appropriate complexity to realistic cases; obtain numerical data and interpret their meaning.
The objective of Module I (6 credits): Ocean Dynamics is to provide in-depth knowledge of the dynamics of phenomena characterizing the dynamics of seas and oceans, with particular reference to estuarine and coastal environments. The course aims to provide the skills necessary to develop mathematical models suitable for the treatment of the main phenomena of interest, as well as their application to the simulation and study of realistic cases. Upon completion of the course, students will be able to: understand and model the dynamics of turbulent transport-diffusion-dispersion phenomena; apply mathematical models of appropriate complexity to realistic cases; obtain numerical data and interpret their meaning.
teacher profile teaching materials
Governing equations for viscous and turbulent flows
Viscous flows and Navier-Stokes equations, turbulent flows and Reynolds equations.
Governing equations for rotating flows
Rotating framework of reference, Unimportance of the centrifugal force, Acceleration on a three-dimensional rotating planet, Equations of Fluid Motion (Mass budget , Momentum budget, Equation of state, Energy budget, Salt and moisture budgets) Boussinesq approximation, Scales of motion, Important dimensionless numbers, Boundary conditions.
Rotation effects
Geostrophic flows and vorticity dynamics, cyclonic and anticyclonic flows, the bottom Ekman layer and the surface Ekman layer.
Ocean
Oceanic General Circulation; What drives the oceanic circulation; Large-scale ocean dynamics (Sverdrup dynamics). Western boundary currents. Thermohaline circulation; Abyssal circulation; Introduction to satellite remote sensing applied to the ocean.
Atmosphere and Ocean.
Atmosphere and atmospheric boundary layer, Stratification effects in the atmosphere, atmospheric general circulation, clouds, oceanic general circulation.
- B. Cushman-Roisin, 1994, Introduction to Geophysical Fluid Dynamics, Prentice Hall.
Programme
Vectors, tensors, differential operators, tensor of velocity gradient, tensor of deformation and tensor of rotation.Governing equations for viscous and turbulent flows
Viscous flows and Navier-Stokes equations, turbulent flows and Reynolds equations.
Governing equations for rotating flows
Rotating framework of reference, Unimportance of the centrifugal force, Acceleration on a three-dimensional rotating planet, Equations of Fluid Motion (Mass budget , Momentum budget, Equation of state, Energy budget, Salt and moisture budgets) Boussinesq approximation, Scales of motion, Important dimensionless numbers, Boundary conditions.
Rotation effects
Geostrophic flows and vorticity dynamics, cyclonic and anticyclonic flows, the bottom Ekman layer and the surface Ekman layer.
Ocean
Oceanic General Circulation; What drives the oceanic circulation; Large-scale ocean dynamics (Sverdrup dynamics). Western boundary currents. Thermohaline circulation; Abyssal circulation; Introduction to satellite remote sensing applied to the ocean.
Atmosphere and Ocean.
Atmosphere and atmospheric boundary layer, Stratification effects in the atmosphere, atmospheric general circulation, clouds, oceanic general circulation.
Core Documentation
- A. Cenedese, 2006, Meccanica dei fluidi ambientale, Mc Graw-Hill.- B. Cushman-Roisin, 1994, Introduction to Geophysical Fluid Dynamics, Prentice Hall.
Attendance
Frequenza facoltativaType of evaluation
Oral examination, with a duration of about an hour, with about two theoretical questions and one question on the exercise. teacher profile teaching materials
Governing equations for viscous and turbulent flows
Viscous flows and Navier-Stokes equations, turbulent flows and Reynolds equations.
Governing equations for rotating flows
Rotating framework of reference, Unimportance of the centrifugal force, Acceleration on a three-dimensional rotating planet, Equations of Fluid Motion (Mass budget , Momentum budget, Equation of state, Energy budget, Salt and moisture budgets) Boussinesq approximation, Scales of motion, Important dimensionless numbers, Boundary conditions.
Rotation effects
Geostrophic flows and vorticity dynamics, cyclonic and anticyclonic flows, the bottom Ekman layer and the surface Ekman layer.
Ocean
Oceanic General Circulation; What drives the oceanic circulation; Large-scale ocean dynamics (Sverdrup dynamics). Western boundary currents. Thermohaline circulation; Abyssal circulation; Introduction to satellite remote sensing applied to the ocean.
Atmosphere and Ocean.
Atmosphere and atmospheric boundary layer, Stratification effects in the atmosphere, atmospheric general circulation, clouds, oceanic general circulation.
- B. Cushman-Roisin, 1994, Introduction to Geophysical Fluid Dynamics, Prentice Hall.
Programme
Vectors, tensors, differential operators, tensor of velocity gradient, tensor of deformation and tensor of rotation.Governing equations for viscous and turbulent flows
Viscous flows and Navier-Stokes equations, turbulent flows and Reynolds equations.
Governing equations for rotating flows
Rotating framework of reference, Unimportance of the centrifugal force, Acceleration on a three-dimensional rotating planet, Equations of Fluid Motion (Mass budget , Momentum budget, Equation of state, Energy budget, Salt and moisture budgets) Boussinesq approximation, Scales of motion, Important dimensionless numbers, Boundary conditions.
Rotation effects
Geostrophic flows and vorticity dynamics, cyclonic and anticyclonic flows, the bottom Ekman layer and the surface Ekman layer.
Ocean
Oceanic General Circulation; What drives the oceanic circulation; Large-scale ocean dynamics (Sverdrup dynamics). Western boundary currents. Thermohaline circulation; Abyssal circulation; Introduction to satellite remote sensing applied to the ocean.
Atmosphere and Ocean.
Atmosphere and atmospheric boundary layer, Stratification effects in the atmosphere, atmospheric general circulation, clouds, oceanic general circulation.
Core Documentation
- A. Cenedese, 2006, Meccanica dei fluidi ambientale, Mc Graw-Hill.- B. Cushman-Roisin, 1994, Introduction to Geophysical Fluid Dynamics, Prentice Hall.
Attendance
Frequenza facoltativaType of evaluation
Oral examination, with a duration of about an hour, with about two theoretical questions and one question on the exercise.