Challenges in Full and Reduced Order Models for Simulating Two-Phase Flows

The use of high-order methods in computational fluid dynamics is becoming more and more widespread thanks to their desirable features such as low levels of numerical dissipation, intrinsic geometrical flexibility and fast convergence properties. However, it is well-known that the treatment of discontinuous profiles can be a particularly challenging task for such methods (i.e., shock waves and material interfaces). The present talk will discuss the challenges associated with the treatment of two-phase flows from two different points of view. The first will focus on the presentation of two different high-order formulations for the conservative diffused interface five equation model based on the Discontinuous Galerkin method and the Spectral Difference scheme. The second part of the talk will briefly discuss the challenges associated with two-phase flows within the framework of reduced order modelling.

Dr. Niccolò Tonicello is a Research Fellow at the department of applied mathematics of the International School of Advanced Studies (SISSA) in Trieste, Italy, starting early 2023. He is a former Postdoctoral Fellow at Stanford with Professor Matthias Ihme and subsequently with Professor Parviz Moin at the Center for Turbulence Research. He received his PhD in the summer of 2021 from the Université de Normandie in Rouen, France, where he worked on high-order methods for compressible turbulent flows with Professors Luc Vervisch and Guido Lodato. He received his Bachelor's and Master's Degrees from the University of Padua in Italy.