Publié le 13 mars 2025
–
Mis à jour le 13 mars 2025
Date(s)
le 17 mars 2025
11h00
Lieu(x)
Institut de Physique de Nice
Conference room 1+2
Conference room 1+2
Compact schemes: quasi-local approximations for high-performance computing
Fluid seminars
Abstract:
Abstract:
Over the last few decades, numerical simulation in mechanics has become an essential approach for the detailed characterisation of complex non-linear phenomena such as turbulence and the triggering of instabilities. Despite the ongoing development of supercomputers, numerical simulation remains costly in terms of computing resources, with the simulation of multi-scale flows still a challenge. In practice, reducing simulation time is usually achieved through the efficient use of High-Performance Computing environments, or more marginally, through the use of high-order spatial discretisations. However, the combination of these two aspects is still an open problem. The work presented in this seminar concerns parallelization techniques for a class of high-order finite differences, the ‘compact schemes’, which are recognized for their good properties at large wave numbers. In particular, the quasi-local character of compact finite differences is exploited in order to combine high-order accuracy and high-performance computing for applications in numerical simulation of flows.
