Q1693926
type: Item
instance of: scholarly article
title: Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. I
zbMATH Open document ID: 1380.76045
published in: Journal of Computational Physics
publication date: 2018-02-01T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76T10
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35J57
zbMATH DE Number: 6833170
zbMATH Keywords: interface dynamics
zbMATH Keywords: discontinuous Galerkin methods
zbMATH Keywords: implicitly defined meshes
zbMATH Keywords: interfacial gauge methods
zbMATH Keywords: level set methods
zbMATH Keywords: high-order
author: Robert I. Saye
describes a project that uses: IIMPACK
describes a project that uses: CutFEM
MaRDI profile type: Publication
full work available at URL: j.jcp.2017.04.076
OpenAlex ID: W2613528476
cites work: A high order discontinuous Galerkin Nitsche method for elliptic problems with fictitious boundary
cites work: Q1693927
cites work: The immersed boundary method
cites work: IMMERSED BOUNDARY METHODS
cites work: The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
cites work: The Immersed Interface Method
cites work: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
cites work: A continuum method for modeling surface tension
cites work: A level set approach for computing solutions to incompressible two-phase flow
cites work: L<scp>EVEL</scp> S<scp>ET</scp> M<scp>ETHODS FOR</scp> F<scp>LUID</scp> I<scp>NTERFACES</scp>
cites work: A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
cites work: Volume of fluid (VOF) method for the dynamics of free boundaries
cites work: A discontinuous Galerkin front tracking method for two-phase flows with surface tension
cites work: A finite element method for crack growth without remeshing
cites work: Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures
cites work: A discontinuous-Galerkin-based immersed boundary method
cites work: An unfitted finite element method using discontinuous Galerkin
cites work: An unfitted interior penalty discontinuous Galerkin method for incompressible Navier–Stokes two‐phase flow
cites work: A high-order adaptive Cartesian cut-cell method for simulation of compressible viscous flow over immersed bodies
cites work: Q2550279
cites work: A stabilized Nitsche cut element method for the wave equation
cites work: A cut discontinuous Galerkin method for the Laplace–Beltrami operator
cites work: A cut finite element method for a Stokes interface problem
cites work: A three-dimensional coupled Nitsche and level set method for electrohydrodynamic potential flows in moving domains
cites work: CutFEM: Discretizing geometry and partial differential equations
cites work: Q5756148
cites work: High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
cites work: A high‐order discontinuous Galerkin method for compressible flows with immersed boundaries
cites work: A high-order immersed boundary discontinuous-Galerkin method for Poisson's equation with discontinuous coefficients and singular sources
cites work: Highly accurate surface and volume integration on implicit domains by means of moment-fitting
cites work: Numerical Solution of the Navier-Stokes Equations
cites work: Accurate projection methods for the incompressible Navier-Stokes equations
cites work: Application of a fractional-step method to incompressible Navier-Stokes equations
cites work: An overview of projection methods for incompressible flows
cites work: Stable and accurate pressure approximation for unsteady incompressible viscous flow
cites work: Semi-implicit projection methods for incompressible flow based on spectral deferred corrections.
cites work: A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics
cites work: On the Use of Higher-Order Projection Methods for Incompressible Turbulent Flow
cites work: A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework
cites work: A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids
cites work: On a new way of writing the Navier-Stokes equation. The Hamiltonian formalism
cites work: A Hamiltonian theory for weakly interacting vortices
cites work: The Voronoi Implicit Interface Method for computing multiphase physics
cites work: Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
cites work: Q4952262
cites work: Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids
cites work: A Multigrid Tutorial, Second Edition
cites work: Parallel multigrid smoothing: Polynomial versus Gauss--Seidel
cites work: A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
cites work: Q4265376
cites work: Level set methods and dynamic implicit surfaces
cites work: The fast construction of extension velocities in level set methods
cites work: High-order methods for computing distances to implicitly defined surfaces
cites work: A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows
cites work: A computational framework for conservative, three-dimensional, unsplit, geometric transport with application to the volume-of-fluid (VOF) method
DOI: 10.1016/J.JCP.2017.04.076
label: Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. I