High order semi-implicit schemes for viscous compressible flows in 3D

W Boscheri, M Tavelli - Applied Mathematics and Computation, 2022 - Elsevier
In this article we present a high order cell-centered numerical scheme in space and time for
the solution of the compressible Navier-Stokes equations. To deal with multiscale …

An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations

S Busto, M Dumbser, L Río-Martín - Applied Mathematics and Computation, 2023 - Elsevier
This paper presents a novel semi-implicit hybrid finite volume/finite element (FV/FE) scheme
for the numerical solution of the incompressible and weakly compressible Navier-Stokes …

[HTML][HTML] A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume/finite element scheme for the incompressible MHD equations

F Fambri, E Zampa, S Busto, L Río-Martín… - Journal of …, 2023 - Elsevier
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 …

Staggered semi-implicit hybrid finite volume/finite element schemes for turbulent and non-Newtonian flows

S Busto, M Dumbser, L Río-Martín - Mathematics, 2021 - mdpi.com
This paper presents a new family of semi-implicit hybrid finite volume/finite element schemes
on edge-based staggered meshes for the numerical solution of the incompressible …

Efficient iterative arbitrary high-order methods: an adaptive bridge between low and high order

L Micalizzi, D Torlo, W Boscheri - Communications on Applied …, 2023 - Springer
We propose a new paradigm for designing efficient p-adaptive arbitrary high-order methods.
We consider arbitrary high-order iterative schemes that gain one order of accuracy at each …

On improving the efficiency of ADER methods

MH Veiga, L Micalizzi, D Torlo - Applied Mathematics and Computation, 2024 - Elsevier
The (modern) arbitrary derivative (ADER) approach is a popular technique for the numerical
solution of differential problems based on iteratively solving an implicit discretization of their …

A kinetic energy and entropy preserving (KEEP) finite volume scheme on unstructured meshes for compressible flows

Y Kuya, W Okumura, K Sawada - Journal of Computational Physics, 2023 - Elsevier
A kinetic energy and entropy preserving (KEEP) finite-volume scheme on unstructured
meshes is proposed for non-dissipative and stable compressible flow computations. The …

An implicit staggered hybrid finite volume/finite element solver for the incompressible Navier-Stokes equations

A Lucca, S Busto, M Dumbser - arXiv preprint arXiv:2302.05688, 2023 - arxiv.org
We present a novel fully implicit hybrid finite volume/finite element method for
incompressible flows. Following previous works on semi-implicit hybrid FV/FE schemes, the …

[HTML][HTML] Hybrid finite-volume–finite-element scheme for 3D simulation of thermal plasma arc configuration

D Komaizi, AR Niknam - AIP Advances, 2024 - pubs.aip.org
The plasma dynamics in a three-dimensional free-burning arc configuration are studied
using an iterative hybrid finite-volume–finite-element scheme. In this scheme, Navier–Stokes …

A splitting method for the numerical simulation of free surface flows with sediment deposition and resuspension

A Mrad, A Caboussat, M Picasso - International Journal for …, 2022 - Wiley Online Library
We present a numerical model for the simulation of 3D sediment transport in a Newtonian
flow with free surfaces. The Navier–Stokes equations are coupled with the transport …