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Topics in Computational Fluid Dynamics

  • Introduction to CFD, examples.
  • Constitutive laws
  • Incompressible flows.
  • Numerical methods for potential and thermal flows
  • Boundary layer theory
  • Thermodynamics effects, energy equation, enthalpy and entropy
  • Vorticity equations
  • Numerical methods for viscous flows: steady Stokes equations
  • Stabilization and inf-sup condition
  • Numerical methods for nonlinear viscous flows: steady Navier-Stokes equations
  • Discretization techniques for steady and unsteady Navier-Stokes equations.

Computational Mechanics by Reduced Order Methods

The course aims to provide the basic aspects of numerical approximation and efficient solution of parametrized; PDEs for computational mechanics problem (heat and mass transfer, linear elasticity, viscous and potential flows) using reduced order methods.

Non-linear Mechanics of Soft Active Materials: Theory and Applications

- Introduction to the physics and applications of soft active materials: polymers, gels, natural and biological tissues
- Preliminaries (1): the Principle of Virtual Power and its consequences
- Preliminaries (2): Thermodynamics and constitutive equations: dissipation inequality and Coleman-Noll procedure
- A mechanical framework for active materials: metric description of elasticity and multiplicative decomposition of the deformation gradient

Numerical Solution of PDEs Using the Finite Element Method (AMMA, MHPC)

Advanced course dedicated to the Numerical Solution of Partial Differential Equations through the deal.II Finite Element Library.



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