A low-order hybrid method for the variable-density incompressible Navier-Stokes equations
Numerical Analysis
2026-01-22 v1 Numerical Analysis
Abstract
In this work we introduce and analyse a new low-order method for the variable-density incompressible Navier-Stokes equations. The main novelty of the proposed method lies in the support of general meshes, possibly including polygonal or polyhedral elements as well as non-matching interfaces. We carry out a complete analysis, showing stability, existence and uniqueness of a discrete solution, and convergence of the latter to a suitably defined weak solution of the continuous problem. Numerical tests validate the theoretical results.
Cite
@article{arxiv.2601.14405,
title = {A low-order hybrid method for the variable-density incompressible Navier-Stokes equations},
author = {Mathias Dauphin and Daniele A. Di Pietro and Jérôme Droniou and Alexandros Skouras},
journal= {arXiv preprint arXiv:2601.14405},
year = {2026}
}