SISSA, International School for Advanced Studies
Thursday 21st July 2022
On site: Aula Consiglio, Dipartimento di Matematica
We provide a state of the art of Reduced Order Methods (ROM) for parametric Partial Differential Equations (PDEs), and we focus on some perspectives in their current trends and developments, with a special interest in parametric problems arising in offline-online Computational Fluid Dynamics (CFD) with application in industry, medicine and environment. Efficient parametrisations (random inputs, geometry, physics) are very important to be able to properly address an offline-online decoupling of the computational procedures and to allow competitive computational performances. Current ROM developments in CFD include: a better use of stable high fidelity methods, considering also spectral element method, discontinuous Galerkin and finite volume discretisations, to enhance the quality of the reduced model too, and allowing to incorporate turbulent patterns, as well as increasing the Reynolds number and considering compressibility effects; more efficient sampling techniques to reduce the number of the basis functions, retained as snapshots, as well as the dimension of online systems; potential enhancements provided by automatic learning especially in turbulence modelling and in dealing with fast transient dynamics, as well as the guarantee of the stability of the approximation with proper space enrichments or ad hoc segregated solvers. Contact: email@example.com
Gianluigi Rozza is Full Professor in Numerical Analysis and Scientific Computing at SISSA MathLab – International School for Advanced Studies, Trieste, Italy. Master of Science in Aerospace Engineering (2002) at Politecnico di Milano, PhD in Applied Mathematics (2005) at Ecole Polytechnique Fédérale de Lausanne, Switzerland. Research Assistant (2002-06), Researcher and Lecturer (2008-12) at École Polytechnique Fédérale de Lausanne; Post Doctoral Associate Researcher (2006- 08) at Massachusetts Institute of Technology, Boston MA, USA; Researcher (2012- 14) and Associate Tenured Professor (2014-17) at International School for Advanced Studies, Trieste, Italy. His research interests include: Numerical Analysis, Numerical Simulation, Scientific Computing; Reduced Order Modelling and Methods with special focus on viscous flows and complex geometrical parametrizations. Recipient of Bill Morton CFD Prize (2004) by Institute of Computational Fluid Dynamics, University of Oxford (UK), ECCOMAS Ph.D Award (2005) by European Community on Computational Methods in Applied Sciences, Springer Computational Science and Engineering Prize (2009), ECCOMAS Jacques Louis Lions Award in Computational Mathematics (2014), ERC consolidator grant ‘Advanced Reduced Order Methods with Applications in Computational Fluid Dynamics’ (AROMA-CFD, 2016-2021), ERC-Proof of Concept Grant ‘Advanced Reduced Groupware Online Simulation’(ARGOS, 2022). In recent years he has led several computational sciences industrial projects with partners like Fincantieri,Danieli, Electrolux, Wartsila, Cetena, MonteCarloYachts. He is SISSA director’s delegate for innovation, valorisation and technology transfer since 2016, responsible of SISSA mathLab group since 2018, coordinator of Mathematics area of SISSA since 2020 and recently he has been appointed as president of the advisory board of SMACT, industry 4.0 competence center of North-East regions, grouping 9 universities and other 40 companies.