SOD2D: High-Order Continuous Galerkin Formulation Stabilized with Entropy Viscosity

Name: SOD2D: High-Order Continuous Galerkin Formulation Stabilized with Entropy Viscosity
Start: 2025-07-04T00:00:00
End: 2025-07-04T00:00:00
Location: Room B004, Engineering Campus, University of Bergamo - Via Marconi 5 (Dalmine)

Public Engagement

SOD2D, "Spectral high-Order coDe 2 solve partial Differential equations", implements a numerical solution for the equations governing compressible and incompressible fluid flow in three dimensions. The code is based on the spectral element method (SEM) and is designed to be used for scale-resolving simulations (LES and DNS). It is written in Fortran, and uses MPI and OpenACC to provide parallelism at both coarse and fine-grained levels, and is accelerated to be able to use the newest GPU architectures. The code has been entirely developed within the Barcelona Supercomputing Center (BSC) and is available open-source through its git repository. The seminar will showcase how high-order continuous Galerkin methods can be used for solving complex fluid dynamics problems, focusing on stabilisation through entropy viscosity. Participants will learn how this approach ensures numerical stability and accuracy in simulations of turbulent flows and some of the strategies used for efficient parallelization of the code.

Location of the initiative:

Room B004, Engineering Campus, University of Bergamo - Via Marconi 5 (Dalmine)

Date of the initiative:

July 4, 2025

Objectives

Presentare il codice open-source SOD2D, basato sul metodo spettrale agli elementi (SEM), per la risoluzione delle equazioni dei flussi comprimibili e incomprimibili in tre dimensioni, illustrando l’impiego di metodi Galerkin continui ad alto ordine con tecniche di stabilizzazione tramite viscosità entropica, nonché le strategie di parallelizzazione (MPI, OpenACC) e di accelerazione su architetture GPU per simulazioni LES e DNS.