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   Articles with "finite volume" as a keyword



A divergence‐free semi‐implicit finite volume scheme for ideal, viscous, and resistive magnetohydrodynamics

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recommendations! Published in 2019 at "International Journal for Numerical Methods in Fluids"

DOI: 10.1002/fld.4681

Abstract: Summary In this paper, we present a novel pressure‐based semi‐implicit finite volume solver for the equations of compressible ideal, viscous, and resistive magnetohydrodynamics (MHD). The new method is conservative for mass, momentum, and total energy,… read more here.

Keywords: finite volume; method; magnetohydrodynamics; semi implicit ... See more keywords

Domain decomposition methods in a geometrical multiscale domain using finite volume schemes

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recommendations! Published in 2020 at "International Journal for Numerical Methods in Fluids"

DOI: 10.1002/fld.4788

Abstract: The heat equation is solved by using a finite volume discretization in a domain that consists of a two‐dimensional central node and several one‐dimensional outgoing branches. Several interface connection options to match the submodels set… read more here.

Keywords: finite volume; domain; using finite; decomposition methods ... See more keywords

Experiences with two detached eddy simulation approaches through use of a high‐order finite volume solver

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recommendations! Published in 2020 at "International Journal for Numerical Methods in Fluids"

DOI: 10.1002/fld.4811

Abstract: In the present study, two advanced detached eddy simulation (DES) approaches, shear‐layer‐adapted delayed DES and zonal DES in mode II, which are known to help transition from RANS to LES mode, are employed in various… read more here.

Keywords: eddy simulation; detached eddy; order finite; finite volume ... See more keywords

Discontinuous finite volume method for compressible miscible displacement problems in porous media

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recommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.5588

Abstract: The compressible miscible displacement problem in porous media is modeled by a coupled system of two nonlinear partial differential equations: the pressure equation and the concentration equation are parabolic equation. In this article, we present… read more here.

Keywords: discontinuous finite; finite volume; compressible miscible; equation ... See more keywords

A Hybrid Pressure Formulation of the Face‐Centred Finite Volume Method for Viscous Laminar Incompressible Flows

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recommendations! Published in 2025 at "International Journal for Numerical Methods in Engineering"

DOI: 10.1002/nme.70037

Abstract: This work presents a hybrid pressure face‐centred finite volume (FCFV) solver to simulate steady‐state incompressible Navier‐Stokes flows. The method leverages the robustness, in the incompressible limit, of the hybridisable discontinuous Galerkin paradigm for compressible and… read more here.

Keywords: pressure; hybrid pressure; pressure formulation; face ... See more keywords

A Finite Volume Framework for Damage and Fracture Prediction in Wire Drawing

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recommendations! Published in 2025 at "International Journal for Numerical Methods in Engineering"

DOI: 10.1002/nme.7640

Abstract: This article presents the implementation of the canonical Lemaitre and Gurson–Tvergaard–Needleman (GTN) damage models and a more recent phase‐field type model within a Lagrangian, geometrically nonlinear, cell‐centred finite volume framework. The proposed segregated solution procedure… read more here.

Keywords: finite volume; damage; volume framework; wire drawing ... See more keywords

A mixed finite‐element, finite‐volume, semi‐implicit discretization for atmospheric dynamics: Cartesian geometry

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recommendations! Published in 2019 at "Quarterly Journal of the Royal Meteorological Society"

DOI: 10.1002/qj.3501

Abstract: To meet the challenges posed by future generations of massively parallel supercomputers, a reformulation of the dynamical core for the Met Office's weather and climate model is presented. This new dynamical core uses explicit finite‐volume… read more here.

Keywords: finite element; finite volume; geometry; model ... See more keywords

New Finite Volume Method for rotating channel flows involving boundary layers

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recommendations! Published in 2017 at "Numerische Mathematik"

DOI: 10.1007/s00211-016-0857-3

Abstract: We investigate in this article the boundary layers appearing in a fluid under moderate rotation when the viscosity is small. The fluid is modeled by the time-dependent rotating Stokes equations also known as the Stokes–Coriolis… read more here.

Keywords: boundary layers; finite volume; channel; volume method ... See more keywords

A variational finite volume scheme for Wasserstein gradient flows

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recommendations! Published in 2020 at "Numerische Mathematik"

DOI: 10.1007/s00211-020-01153-9

Abstract: We propose a variational finite volume scheme to approximate the solutions to Wasserstein gradient flows. The time discretization is based on an implicit linearization of the Wasserstein distance expressed thanks to Benamou-Brenier formula, whereas space… read more here.

Keywords: finite volume; gradient flows; scheme; wasserstein gradient ... See more keywords
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An error estimate for a finite-volume scheme for the Cahn-Hilliard equation with dynamic boundary conditions

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recommendations! Published in 2021 at "Numerische Mathematik"

DOI: 10.1007/s00211-021-01230-7

Abstract: In the paper we consider a finite-volume approximation for the Cahn-Hilliard equation with dynamic boundary conditions. We prove an error estimate for the fully-discrete scheme. We also give numerical simulations which validate the theoretical result. read more here.

Keywords: boundary conditions; finite volume; dynamic boundary; equation dynamic ... See more keywords

A finite volume adaptation of beam-to-beam contact interactions implemented for geometrically exact Simo–Reissner beams

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recommendations! Published in 2024 at "Computational Mechanics"

DOI: 10.1007/s00466-024-02503-2

Abstract: This paper presents an adaption of the finite-element based beam-to-beam contact interactions into a finite volume numerical framework. A previous work of the same authors, where a cell-centred based finite volume implementation of geometrically exact… read more here.

Keywords: beam beam; contact interactions; beam; finite volume ... See more keywords