An interface-tracking space-time hybridizable/embedded discontinuous Galerkin method for nonlinear free-surface flows

DOI10.1016/j.compfluid.2022.105625OpenAlexW3208396963MaRDI QIDQ2084102

Sander Rhebergen, Giselle Sosa Jones

Publication date: 17 October 2022

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.13779

zbMATH Keywords

space-timeNavier-Stokesinterface-trackingfree-surface waveshybridizable discontinuous Galerkin

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Cites Work

• To CG or to HDG: a comparative study in 3D
• Hybridizable discontinuous Galerkin method (HDG) for Stokes interface flow
• Variational space-time (dis)continuous Galerkin method for nonlinear free surface water waves
• To CG or to HDG: A comparative study
• Interface stabilised finite element method for moving domains and free surface flows
• Compatible algorithms for coupled flow and transport
• An exactly mass conserving space-time embedded-hybridized discontinuous Galerkin method for the Navier-Stokes equations on moving domains
• A stabilized finite element method using a discontinuous level set approach for solving two phase incompressible flows
• Space-time discontinuous Galerkin method for nonlinear water waves
• A space-time discontinuous Galerkin method for the time-dependent Oseen equations
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• A new strategy for finite element computations involving moving boundaries and interfaces --- The deforming-spatial-domain/space-time procedure. II: Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders
• A level set approach for computing solutions to incompressible two-phase flow
• Geometric conservation laws for flow problems with moving boundaries and deformable meshes, and their impact on aeroelastic computations
• A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems
• Space-time adaptive ADER discontinuous Galerkin finite element schemes with \textit{a posteriori} sub-cell finite volume limiting
• A hybridizable discontinuous Galerkin method for the Navier-Stokes equations with pointwise divergence-free velocity field
• Parallel finite element computation of free-surface flows
• Space-time finite element methods for elastodynamics: Formulations and error estimates
• Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. I: General formulation.
• A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
• An explicit divergence-free DG method for incompressible flow
• An embedded-hybridized discontinuous Galerkin finite element method for the Stokes equations
• A compatible embedded-hybridized discontinuous Galerkin method for the Stokes-Darcy-transport problem
• Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for incompressible flow with moving boundaries and interfaces
• High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows
• Analysis of a pressure-robust hybridized discontinuous Galerkin method for the stationary Navier-Stokes equations
• Interface-tracking and interface-capturing techniques for finite element computation of moving boundaries and interfaces
• A level set discontinuous Galerkin method for free surface flows
• The local discontinuous Galerkin method for three-dimensional shallow water flow
• A high-order hybridizable discontinuous Galerkin method for elliptic interface problems
• Analysis of an Interface Stabilized Finite Element Method: The Advection-Diffusion-Reaction Equation
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• An Analysis of the Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems
• The embedded discontinuous Galerkin method: application to linear shell problems
• A new stable space-time formulation for two-dimensional and three-dimensional incompressible viscous flow
• A numerical investigation of 2d, steady free surface flows
• A level set characteristic Galerkin finite element method for free surface flows
• The effect of viscosity on the transient free-surface waves in a two-dimensional tank