180310 Flux reconstruction/correction procedure via correction in computational fluid dynamics

Title:
Flux reconstruction/correction procedure via correction in computational fluid dynamics

Speaker:
莊璧躍 (Pi-Yueh Chuang)

Time:
03/10 (Sat.) 6 pm PDT, 7 pm MDT, 8 pm CDT, 9 pm EDT
03/11 (Sun.) 10 am Taiwan

Abstract:
In this talk, I will give an introduction to a recently proposed high-order numerical methods -- flux reconstruction (FR), also known as correction procedure via reconstruction (CPR). Discussion of FR in the context of computational incompressible flow will also be addressed.

In CFD (computational fluid dynamics) area, high-order methods are considered to be computationally cheaper than low-order ones (such as finite difference/volume/element). Traditional high-order methods, however, pose many problems, such as numerical stability, ill-conditioned systems, difficult implementations, and challenging adaption to HPC (high-performance computing) systems. Therefore nowadays, in production CFD codes and practical uses, the use of high-order methods is still limited. The FR method may become a game changer to this situation. FR has been proved to be numerically stable and computationally efficient on modern heterogeneous HPC systems. While FR is initially designed for hyperbolic conservation laws and compressible flow, applying FR to incompressible flow is still a challenge and leaves us many open questions. In this talk, I will try to bring these questions out after the introduction to FR.