Lagrange-flux schemes: reformulating second-order accurate Lagrange-remap schemes for better node-based HPC performance

TL;DR

This paper introduces Lagrange-flux schemes, a new family of CFD solvers designed for improved HPC performance, by rethinking and redesigning existing Lagrange-remap methods for modern architectures.

Contribution

It presents a novel reformulation of second-order Lagrange-remap schemes into Lagrange-flux schemes, enhancing computational efficiency and performance on current hardware.

Findings

Discovery of Lagrange-flux schemes as a promising CFD solver family

Improved performance of schemes on modern HPC architectures

Redesign of Lagrange-remap process for better computational efficiency

Abstract

In a previous paper, we have achieved the performance analysis of staggered Lagrange-remap schemes, a class of solvers widely used for Hydrodynamics applications. This paper is devoted to the rethinking and redesign of the Lagrange-remap process for achieving better performance using today's computing architectures. As an unintended outcome, the analysis has lead us to the discovery of a new family of solvers -- the so-called Lagrange-flux schemes -- that appear to be promising for the CFD community.