High fidelity numerical methods for compressible two-phase flows

Abstract: 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 within the framework of a Discontinuous Galerkin scheme and a collocated Spectral Difference method. Finally, the last part of the presentation will be dedicated to leveraging the proposed high-order spectral difference scheme for the Direct Numerical Simulation of a two-phase generalisation of the compressible Taylor-Green Vortex testcase. The present set-up has been used to study the interplay between turbulence, compressibility and surface tension forcing.

Bio: Dr. Niccolò Tonicello is a Research Fellow at the department of applied mathematics of the International School of Advanced Studies (SISSA) in Trieste (Italy) since early 2023. He is a former Postdoctoral Fellow at Stanford Univerisity (USA) 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) under the supervision of professors Luc Vervisch and Guido Lodato. He got his Bachelor and Master Degrees respectively in aerospace engineering and mathematical engineering from the university of Padua (Italy). His research focuses on high-order numerical methods for compressible turbulent flows and multiphase flows. Recently he started working on machine learning and deep learning algorithm for these applications.