PEZZANO , Stefano

Time-dependent domains are encountered in a vast category of fluid mechanics applications. Such problems are often characterised by complex geometries and physical phenomena. The aim of the present dissertation is the development of an accurate and reliable methodology to investigate compressible flows with time-dependent geometries. To this...

The objective of the present work is to develop a new numerical framework for simulations including moving bodies, in the specific context of high-order meshes consistent with Computer-Aided Design (CAD) representations. Thus, the proposed approach combines ideas from isogeometric analysis, able to handle exactly CAD-based geometries, and...

This work aims at developing a high-order, fully conservative, discretization of sliding grids with applications to compressible flows at different regimes (from subsonic to supersonic). The proposed approach combines a discontinuous Galerkin formulation for Navier-Stokes equations with rational representations originating from Isogeometric...

We propose a Discontinuous Galerkin (DG) method for the numerical solution of the compressible Navier-Stokes equations with a functional representation derived from Computer Aided Design (CAD). The extraction of a set of DG-compliant basis functions from Non-Uniform Rational B-Splines (NURBS) is briefly discussed and the discretization of the...

In this work the Isogeometric Discontinuous Galerkin [1] method for solving hyperbolic conservation laws is extended to time dependent geometries using an Arbitrary Lagrangian Eulerian (ALE) approach. Among the various ALE formulations that have been proposed in the context of Discontinuous Galerkin schemes, we consider the one presented in...

Flows around moving bodies are characterized by highly unsteady physical phenomena, such as complex vortical wakes and, in the transonic and supersonic regimes, moving shocks. As a consequence, the computational grid has to be properly refined in order to accurately simulate all the different flow conditions. In this context, Adaptive Mesh...

In this work we present a fully integrated framework for aerodynamic shape optimisation. In order to develop an efficient design chain, a high level of automation is required. To this end, we propose an isogeometric approach, in which the same mathematical representation is adopted for the shape to optimize, the computational domain and the...

In this work, we explain how a classical nodal Discontinuous Galerkin (DG) method for conservation laws can be modified to be geometrically exact with respect to CAD (Computer-Aided Design) data. The proposed approach relies on the use of rational Bézier elements, that can exactly match geometries defined by NURBS (Non-Uniform Rational...

This work aims at proposing an aerodynamic design optimization methodology entirely based on Computer-Aided Design (CAD) representations, yielding a fully integrated geometry-simulation-optimization framework. Specifically, the geometry to optimize is defined thanks to CAD standards, like Non-Uniform Rational B-Splines (NURBS); the resolution...

The objective of the current work is to define a design optimization methodology in aerodynamics, in which all numerical components are based on a unique geometrical representation, consistent with Computer-Aided Design (CAD) standards. In particular, the design is parameterized by Non-Uniform Rational B-Splines (NURBS), the computational...

A major difficulty in aerodynamic design is related to the multiplicity of geometrical representations handled during the optimization process. From high-order Computer-Aided Design (CAD) objects to discrete mesh-based descriptions, several geometrical transformations have to be performed, that considerably impact the accuracy, the robustness...