2022/08/29 by Bastien Chaudet‐Dumas, Chaudet, Bastien
Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Gas Dynamics and Kinetic Theory #Advanced Numerical Methods in Computational Mathematics
paper · pdf · doi:10.48550/arxiv.2208.13409
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.