A hybridized discontinuous Galerkin framework for high-order particle-mesh operator splitting of the incompressible Navier-Stokes equations

DOI10.1016/j.jcp.2017.12.036zbMath1381.76190OpenAlexW2781569609MaRDI QIDQ1699504

Robert Jan Labeur, Jakob M. Maljaars, Matthias Möller

Publication date: 23 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://resolver.tudelft.nl/uuid:d5cd841b-51f9-4088-9de0-312d066c1902

zbMATH Keywords

finite elementsincompressible Navier-Stokes equationsmaterial point methodhybridized discontinuous Galerkin methodsparticle-in-cell methodsLagrangian-Eulerian

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Particle methods and lattice-gas methods (76M28) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (3)

A second-order in time and space particle-based method to solve flow problems on arbitrary meshes ⋮ LE\textsc{o}P\textsc{art}: a particle library for FE\textsc{ni}CS ⋮ Conservative, high-order particle-mesh scheme with applications to advection-dominated flows

Uses Software

• FEniCS
• PICIN

Cites Work

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• Variable resolution for SPH: a dynamic particle coalescing and splitting scheme
• An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations
• A hybridizable discontinuous Galerkin method for Stokes flow
• Numerical implementation of mixing and molecular transport in LES/PDF studies of turbulent reacting flows
• Automated solution of differential equations by the finite element method. The FEniCS book
• Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach
• The parabolic edge reconstruction method (PERM) for Lagrangian particle advection
• An accurate time advancement algorithm for particle tracking
• Extension of the finite volume particle method to viscous flow
• Application of a fractional-step method to incompressible Navier-Stokes equations
• FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions
• SPH simulations of time-dependent Poiseuille flow at low Reynolds numbers.
• A general mass consistency algorithm for hybrid particle/finite-volume PDF methods.
• Incompressible material point method for free surface flow
• A particle method for history-dependent materials
• Implicit formulation of material point method for analysis of incompressible materials
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. I
• A high-order accurate particle-in-cell method
• Energy Stable and Momentum Conserving Hybrid Finite Element Method for the Incompressible Navier–Stokes Equations
• Runge-Kutta Methods with Minimum Error Bounds
• Analysis and reduction of quadrature errors in the material point method (MPM)
• Element‐free Galerkin methods
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Incompressible separated flows simulations with the smoothed particle hydrodynamics gridless method
• Analysis of a Hybridized/Interface Stabilized Finite Element Method for the Stokes Equations
• PICIN: A Particle-in-Cell Solver for Incompressible Free Surface Flows with Two-Way Fluid-Solid Coupling
• Numerical Solution of the Navier-Stokes Equations
• A hybrid algorithm for the joint PDF equation of turbulent reactive flows

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