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   Articles with "discontinuous galerkin" as a keyword



A high‐order discontinuous Galerkin method for the incompressible Navier‐Stokes equations on arbitrary grids

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

DOI: 10.1002/fld.4718

Abstract: A high‐order discontinuous Galerkin (DG) method is proposed in this work for solving the two‐dimensional steady and unsteady incompressible Navier‐Stokes (INS) equations written in conservative form on arbitrary grids. In order to construct the interface… read more here.

Keywords: discontinuous galerkin; arbitrary grids; method; high order ... See more keywords

Discontinuous Galerkin finite element method applied to the coupled unsteady Stokes/Cahn‐Hilliard equations

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

DOI: 10.1002/fld.4720

Abstract: Two-phase flows driven by the interfacial dynamics are studied by tracking implicitly interfaces in the framework of the Cahn-Hilliard theory. The fluid dynamics is described by the Stokes equations with an additional source term in… read more here.

Keywords: finite element; discontinuous galerkin; galerkin finite; equation ... See more keywords

Development of a nonconservative discontinuous Galerkin formulation for simulations of unsteady and turbulent flows

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

DOI: 10.1002/fld.4785

Abstract: In this paper, discontinuous Galerkin (DG) discretization schemes for Navier‐Stokes equations of a nonconservative form was proposed, in which the constitutional equation for energy conservation is written in terms of pressure. The primary focus is… read more here.

Keywords: discontinuous galerkin; development nonconservative; nonconservative discontinuous; formulation ... See more keywords

Robust 3D multi‐material hydrodynamics using discontinuous Galerkin methods

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recommendations! Published in 2024 at "International Journal for Numerical Methods in Fluids"

DOI: 10.1002/fld.5340

Abstract: A high‐order discontinuous Galerkin (DG) method is presented for nonequilibrium multi‐material ( m≥2$$ m\ge 2 $$ ) flow with sharp interfaces. Material interfaces are reconstructed using the algebraic THINC approach, resulting in a sharp interface… read more here.

Keywords: hydrodynamics; material; multi material; high order ... See more keywords

A Curvilinear Discontinuous Galerkin Method for Radiation Hydrodynamics

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

DOI: 10.1002/fld.70011

Abstract: In this article, a cell‐centered discontinuous Galerkin (DG) method is presented for solving Lagrangian radiation hydrodynamic equations (RHE). The equations are separated into a hydrodynamic part and a radiation diffusion part. These two parts are… read more here.

Keywords: hydrodynamics; radiation; curvilinear discontinuous; galerkin method ... See more keywords

Stability of Discontinuous Galerkin Methods for Volterra Integral Equations

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recommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.10649

Abstract: We conduct the stability analysis of discontinuous Galerkin methods applied to Volterra integral equations in this paper. Stability conditions with respect to both the basic and convolution test equations are derived. Our findings indicate that… read more here.

Keywords: galerkin methods; stability; integral equations; test ... See more keywords

Solvability of the fractional Volterra‐Fredholm integro differential equation by hybridizable discontinuous Galerkin method

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

DOI: 10.1002/mma.5821

Abstract: This article proves the existence and uniqueness of the solution obtained by the hybridizable discontinuous Galerkin (HDG) method of the fractional Volterra‐Fredholm integro differential equation. The method based on local solvers and transmission condition is… read more here.

Keywords: discontinuous galerkin; volterra fredholm; method; equation ... See more keywords
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Analysis of a linearization scheme for an interior penalty discontinuous Galerkin method for two‐phase flow in porous media with dynamic capillarity effects

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recommendations! Published in 2017 at "International Journal for Numerical Methods in Engineering"

DOI: 10.1002/nme.5526

Abstract: ShellNWO/FOM CSER (project 14CSER016); NWO Visitors Grant 040.11.499; ResearchFoundation - Flanders FWO, Odysseus project G0G1316N; Statoil Akademia grant read more here.

Keywords: analysis linearization; linearization scheme; discontinuous galerkin; interior penalty ... See more keywords

A h‐Adaptivity Strategy for Hybridizable Discontinuous Galerkin (HDG) Simulations of Fluid Transport Models in Tokamak Plasma

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

DOI: 10.1002/nme.70107

Abstract: The highly anisotropic, multi‐scale nature of fusion plasma simulations in tokamaks, combined with the complexity in the geometries of plasma‐facing components and magnetic equilibrium, challenges numerical schemes. They therefore require the development of advanced numerical… read more here.

Keywords: galerkin hdg; adaptivity; geometry; strategy ... See more keywords

Augmented Lagrangian approach to deriving discontinuous Galerkin methods for nonlinear elasticity problems

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recommendations! Published in 2022 at "International Journal for Numerical Methods in Engineering"

DOI: 10.1002/nme.7039

Abstract: We use the augmented Lagrangian formalism to derive discontinuous Galerkin (DG) formulations for problems in nonlinear elasticity. In elasticity, stress is typically a symmetric function of strain, leading to symmetric tangent stiffness matrices in Newton's… read more here.

Keywords: discontinuous galerkin; elasticity; lagrangian approach; nonlinear elasticity ... See more keywords

A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form

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recommendations! Published in 2020 at "Numerische Mathematik"

DOI: 10.1007/s00211-020-01160-w

Abstract: We present a stable discontinuous Galerkin (DG) method with a perfectly matched layer (PML) for three and two space dimensional linear elastodynamics, in velocity-stress formulation, subject to well-posed linear boundary conditions. First, we consider the… read more here.

Keywords: stable discontinuous; energy; discontinuous galerkin; method ... See more keywords