Semi-implicit schemes for compressible flows.

Speaker
Walter Boscheri - Université Savoie Mont Blanc and CNRS (France)

Date
Dec 10, 2025 - Time: 09:30 l'evento si ripete il 11/12/2025 alle 9:00

Asymptotic Preserving schemes: bridging scales in fluid dynamics.

This course focuses on numerical methods for solving multiscale partial differential equations,

with applications to compressible fluid dynamics across different Mach number regimes.

Implicit and explicit approaches are introduced through the advection-diffusion equation,

followed by an analysis of the Euler equations for compressible gas dynamics in non-dimensional

form and their asymptotic limits. The concept of Asymptotic Preserving (AP) schemes is explored

through IMEX and semi-implicit formulations. A significant part of the course is devoted to

a hands-on Matlab implementation of a semi-implicit scheme for the one-dimensional Euler

equations. The course concludes with an outlook on advanced topics, including high-order IMEX

methods and exactly divergence-free operators.

Timetable:

Wednesday 10/12/2025: room ALFA (9:30-12:30)

Thursday 11/12/2025: room H (9:00 - 12:00)

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