A divergence‐free semi‐implicit finite volume scheme for ideal, viscous, and resistive magnetohydrodynamics
Sign Up to like & getrecommendations! 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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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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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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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 mixed finite‐element, finite‐volume, semi‐implicit discretization for atmospheric dynamics: Cartesian geometry
Sign Up to like & getrecommendations! 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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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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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
An error estimate for a finite-volume scheme for the Cahn-Hilliard equation with dynamic boundary conditions
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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
The hybrid Wilson finite volume method for elliptic problems on quadrilateral meshes
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DOI: 10.1007/s10444-018-9623-7
Abstract: In this paper, we construct and analyze a nonconforming finite volume method (FVM) for solving the elliptic boundary value problems on quadrilateral meshes: the hybrid Wilson FVM. Under the mesh assumption that the underlying mesh… read more here.
Keywords: quadrilateral meshes; finite volume; problems quadrilateral; hybrid wilson ... See more keywords
Finite volume methods for numerical simulation of the discharge motion described by different physical models
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DOI: 10.1007/s10444-019-09706-9
Abstract: This paper deals with the numerical solution of an ionization wave propagation in air, described by a coupled set of convection-diffusion-reaction equations and a Poisson equation. The standard three-species and more complex eleven-species models with… read more here.
Keywords: numerical simulation; volume methods; finite volume; methods numerical ... See more keywords
Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model
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DOI: 10.1007/s10444-020-09764-4
Abstract: In this paper, we propose a discontinuous finite volume element method to solve a phase field model for two immiscible incompressible fluids. In this finite volume element scheme, discontinuous linear finite element basis functions are… read more here.
Keywords: phase; finite volume; volume element; method ... See more keywords