We present first-and second-order unconditionally energy stable schemes for fluid-based
topology optimization problems. Our objective functional composes of five terms including …

In this article we present a novel staggered semi-implicit hybrid finite-volume/finite-element
(FV/FE) method for the resolution of weakly compressible flows in two and three space …

We propose a novel Mach-uniform numerical model for 2D Euler equations on unstructured
grids by using multi-moment finite volume method. The model integrates two key …

In this paper we propose a new arbitrary-order Finite Volume method for the numerical
solution of the Euler and Navier-Stokes equations on unstructured grids. Arbitrary order is …

In this article, we developed an unstructured fluid solver based on finite volume framework
for the low-Mach number compressible flows. The present method, so-called FVMS3 (Finite …

The paper presents a low-Mach number (LM) treatment technique for high-order, Finite-
Volume (FV) schemes for the Euler and the compressible Navier–Stokes equations. We …

We present a novel high order semi-implicit hybrid finite volume/virtual element numerical
scheme for the solution of compressible flows on Voronoi tessellations. The method relies …

In this work a higher-order accurate finite volume method for the resolution of the
Euler/Navier–Stokes equations using Chimera grid techniques is presented. The formulation …

In this work we propose a very high-order compressible finite volume scheme with a
posteriori stabilization for the computation of multi-component two-phase flow with phase …

In this study, a low Mach, pressure-based solver is developed for simulation of compressible
two-phase flows. The two-dimensional solver developed on collocated grids in a finite …