A high-order maximum-principle-satisfying discontinuous Galerkin method for the level set problem
type: Item
instance of: scholarly article
title: A high-order maximum-principle-satisfying discontinuous Galerkin method for the level set problem
zbMATH Open document ID: 1465.76080
author: Fan Zhang
author: Tiegang Liu
author: M. B. Liu
published in: Journal of Scientific Computing
publication date: 2021-05-03T00:00:00Z
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 76T06
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 7342457
zbMATH Keywords: high-order discontinuous Galerkin method
zbMATH Keywords: level set method
zbMATH Keywords: incompressible two-phase flow
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: advection equation
MaRDI profile type: Publication
full work available at URL: s10915-021-01459-2
OpenAlex ID: W3139077656
cites work: Conservative and adaptive level-set method for the simulation of two-fluid flows
cites work: An adaptive coupled level-set/volume-of-fluid interface capturing method for unstructured triangular grids
cites work: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
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: Level set methods: An overview and some recent results
cites work: A conservative level set method for two phase flow
cites work: A conservative level set method for two phase flow. II
cites work: A discontinuous Galerkin conservative level set scheme for interface capturing in multiphase flows
cites work: TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
cites work: Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
cites work: Q4701082
cites work: On maximum-principle-satisfying high order schemes for scalar conservation laws
cites work: Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
cites work: Nonoscillatory High Order Accurate Self-Similar Maximum Principle Satisfying Shock Capturing Schemes I
cites work: On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
cites work: Parametrized maximum principle preserving flux limiters for high order schemes solving multi-dimensional scalar hyperbolic conservation laws
cites work: Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem
cites work: A parametrized maximum principle preserving flux limiter for finite difference RK-WENO schemes with applications in incompressible flows
cites work: Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes
cites work: Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes
cites work: Third order maximum-principle-satisfying DG schemes for convection-diffusion problems with anisotropic diffusivity
cites work: Maximum-principle-preserving third-order local discontinuous Galerkin method for convection-diffusion equations on overlapping meshes
cites work: High Order Maximum-Principle-Preserving Discontinuous Galerkin Method for Convection-Diffusion Equations
cites work: A high-order discontinuous Galerkin method for 2D incompressible flows
cites work: Maximum-principle-satisfying and positivity-preserving high order central DG methods on unstructured overlapping meshes for two-dimensional hyperbolic conservation laws
cites work: Monotone Difference Approximations for Scalar Conservation Laws
cites work: A discontinuous Galerkin method for the simulation of compressible gas-gas and gas-water two-medium flows
cites work: A quasi-conservative discontinuous Galerkin method for solving five equation model of compressible two-medium flows
cites work: A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations
cites work: Total-Variation-Diminishing Time Discretizations
cites work: The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems
cites work: The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections
cites work: High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation
cites work: Fully multidimensional flux-corrected transport algorithms for fluids
cites work: A second-order projection method for the incompressible Navier-Stokes equations
cites work: A hybrid particle level set method for improved interface capturing
cites work: A splitting method for incompressible flows with variable density based on a pressure Poisson equation
cites work: A projection FEM for variable-density incompressible flows
cites work: A new fractional time-stepping method for variable density incompressible flows
cites work: Numerical simulations of the Rayleigh-Taylor instability
cites work: A direct discontinuous Galerkin method for the incompressible Navier-Stokes equations on arbitrary grids
cites work: A reconstructed discontinuous Galerkin method for incompressible flows on arbitrary grids
DOI: 10.1007/S10915-021-01459-2
description: scientific article; zbMATH DE number 7342457