This article aims at develo** a high order pressure-based solver for the solution of the 3D
compressible Navier-Stokes system at all Mach numbers. We propose a cell-centered …

In this paper we present a novel first order hyperbolic reformulation of the barotropic Navier-
Stokes-Korteweg system. The new formulation is based on a combination of the first order …

In this paper a new hybrid semi-implicit finite volume/finite element (FV/FE) scheme is
presented for the numerical solution of the compressible Euler and Navier–Stokes equations …

We propose a new pressure-based structure-preserving (SP) and quasi asymptotic
preserving (AP) staggered semi-implicit finite volume scheme for the unified first order …

In the numerical simulation of fluid dynamic problems there are situations in which acoustic
waves are very fast compared to the average velocity of the fluid and conversely situations in …

We present a new exactly divergence-free and well-balanced hybrid finite volume/finite
element scheme for the numerical solution of the incompressible viscous and resistive …

In this article, we are interested in the behavior of discontinuous Galerkin schemes for
compressible flows in the low Mach number limit. We prove that for any numerical flux …

We discuss the applicability of a unified hyperbolic model for continuum fluid and solid
mechanics to modeling non-Newtonian flows and in particular to modeling the stress-driven …

We present a novel asymptotic-preserving semi-implicit finite element method for weakly
compressible and incompressible flows based on compatible finite element spaces. The …

In this work we introduce a novel semi‐implicit structure‐preserving finite‐volume/finite‐
difference scheme for the viscous and resistive equations of magneto‐hydrodynamics …