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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

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