- Physical transport processes (2hrs)
Definition of concentration
- Eulerian approach to physical transport. (10hrs)
Fick’s law
Diffusion equation
Buckingham’s pi theorem
Solution of the diffusion equation for a point release in space and time, for a continuous release in space and/or in time
Advection-diffusion equation
Peclet number
- Lagrangian approach to physical transport. (10hrs)
Random walk
Bernoulli’s distribution
Lagrangian diffusivity
Relationshiop between random wald and diffusion equation
Equivalence between the two approaches, Eulerian concentration and Lagrangian probability
- Chemical, physical and biological transformations (4hrs)
Advection-diffusion-reaction equation
- Three- and two-dimensional turbulence (4hrs)
Single particle statistics: Taylor diffusion
- Chaotic advection (6hrs)
Logistic map
Mixing and determinist chaos
Particle pair statistics: Lyapunov exponents
- Modelling applications to search and rescue at sea (2hrs)
- Modelling applications to water and air quality (4hrs)
- Examples of applications in the Mediterranean Sea and its subbasins (6hrs)