Maximum-principle-preserving high-order discontinuous Galerkin methods for incompressible Euler equations on overlapping meshes
DOI10.1016/j.cam.2023.115408zbMath1528.76045MaRDI QIDQ6049326
Lulu Tian, Nattaporn Chuenjarern, Yang Yang, Hui Guo
Publication date: 15 September 2023
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
local discontinuous Galerkin methodincompressible Euler equationoverlapping meshesmaximum-principle-preserving
Vortex flows for incompressible inviscid fluids (76B47) 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)
Cites Work
- Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations
- A positivity-preserving semi-implicit discontinuous Galerkin scheme for solving extended magnetohydrodynamics equations
- Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes
- Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- Positivity preserving high-order local discontinuous Galerkin method for parabolic equations with blow-up solutions
- Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes
- Initiation of slime mold aggregation viewed as an instability
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- A numerical resolution study of high order essentially non-oscillatory schemes applied to incompressible flow
- Non-oscillatory central schemes for the incompressible 2-D Euler equations
- A high-order discontinuous Galerkin method for 2D incompressible flows
- Local discontinuous Galerkin method for the Keller-Segel chemotaxis model
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations
- Maximum-principle-preserving third-order local discontinuous Galerkin method for convection-diffusion equations on overlapping meshes
- Stability analysis and error estimates of local discontinuous Galerkin methods for convection-diffusion equations on overlapping meshes
- Fourier analysis of local discontinuous Galerkin methods for linear parabolic equations on overlapping meshes
- Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes
- A (dis)continuous finite element model for generalized 2D vorticity dynamics
- Strong Stability-Preserving High-Order Time Discretization Methods
- Central local discontinuous galerkin methods on overlapping cells for diffusion equations
- A staggered discontinuous Galerkin method for the convection–diffusion equation
- Random walk with persistence and external bias
- A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
- Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- The approximation of the pressure by a mixed method in the simulation of miscible displacement
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Stability analysis and error estimates of local discontinuous Galerkin method for convection-diffusion equations on overlapping mesh with non-periodic boundary conditions
- High Order Maximum-Principle-Preserving Discontinuous Galerkin Method for Convection-Diffusion Equations
This page was built for publication: Maximum-principle-preserving high-order discontinuous Galerkin methods for incompressible Euler equations on overlapping meshes