A scalable Lagrange-Remap scheme for compressible multimaterial Euler equations with sharp interface reconstruction

TL;DR

This paper introduces a scalable Lagrange-Remap scheme for simulating compressible multimaterial Euler equations, emphasizing sharp interface reconstruction and a novel 9-point remap scheme without directional splitting.

Contribution

It presents a new Lagrange-Remap scheme with a 9-point remap approach that improves efficiency and interface sharpness in multi-material flow simulations.

Findings

Effective sharp interface reconstruction using VOF fluxes.

Reduced parallel communication with the one-step remap.

Comparable or improved accuracy on severe benchmarks.

Abstract

This work is in the field of multi-material compressible fluid flows simulation. The proposed scheme is eulerian and related to finite volumes methods, but in a Lagrange-Remap formalism on regular orthogonal meshes. The Lagrangian scheme is staggered and the remap phase is similar to a finite volume advection scheme. The multi-material extension uses classical VOF fluxes for sharp interface reconstruction. The originality of the scheme is in the attempt for a 9 points remap scheme without directional splitting. This strategy should allow to preserve good properties of classical multi-material staggered schemes, while saving parallel communications with the one step remap. Results will be discussed and compared to those from classical Lagrange-Remap schemes on severe benchmarks.