Subcell limiting strategies for discontinuous Galerkin spectral element methods
From MaRDI portal
Publication:2084113
DOI10.1016/j.compfluid.2022.105627OpenAlexW4290830034MaRDI QIDQ2084113
Gregor J. Gassner, Will Pazner, Andrés Mauricio Rueda-Ramírez
Publication date: 17 October 2022
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.00576
shock capturingentropy stabilityinvariant domain preservationdiscontinuous Galerkin spectral element methods subcell limiting
Related Items
Investigation of aspect ratio effects on flow characteristics and vorticity generation in shock-induced rectangular bubble ⋮ Positivity-preserving entropy filtering for the ideal magnetohydrodynamics equations ⋮ Applications of limiters, neural networks and polynomial annihilation in higher-order FD/FV schemes ⋮ A flux-differencing formulation with Gauss nodes ⋮ Invariant Domain Preserving High-Order Spectral Discontinuous Approximations of Hyperbolic Systems ⋮ A flux-differencing formula for split-form summation by parts discretizations of non-conservative systems. Applications to subcell limiting for magneto-hydrodynamics ⋮ Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction ⋮ High order entropy stable discontinuous Galerkin spectral element methods through subcell limiting
Uses Software
Cites Work
- High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
- \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
- Failsafe flux limiting and constrained data projections for equations of gas dynamics
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- On high order strong stability preserving Runge-Kutta and multi step time discretizations
- A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes
- Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations
- Fully multidimensional flux-corrected transport algorithms for fluids
- Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
- On Godunov-type methods near low densities
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Flux-corrected transport. III: Minimal-error FCT algorithms
- Non-oscillatory spectral element Chebyshev method for shock wave calculations
- A spectral element-FCT method for the compressible Euler equations
- Divergence correction techniques for Maxwell solvers based on a hyperbolic model
- Hyperbolic divergence cleaning for the MHD equations
- The BR1 scheme is stable for the compressible Navier-Stokes equations
- On discretely entropy conservative and entropy stable discontinuous Galerkin methods
- Ideal GLM-MHD: about the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations
- Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems
- A posteriori subcell finite volume limiter for general \(P_NP_M\) schemes: applications from gasdynamics to relativistic magnetohydrodynamics
- Entropy stabilization and property-preserving limiters for \(\mathbb{P}_1\) discontinuous Galerkin discretizations of scalar hyperbolic problems
- Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems
- Limiting and divergence cleaning for continuous finite element discretizations of the MHD equations
- A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations
- Preventing spurious pressure oscillations in split convective form discretization for compressible flows
- A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics
- An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. II: Subcell finite volume shock capturing
- Entropy stable DGSEM for nonlinear hyperbolic systems in nonconservative form with application to two-phase flows
- FLEXI: a high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws
- \textit{A posteriori} correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction
- Sparse invariant domain preserving discontinuous Galerkin methods with subcell convex limiting
- Efficient parallelization of a shock capturing for discontinuous Galerkin methods using finite volume sub-cells
- Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
- Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions
- Stability of the MUSCL schemes for the Euler equations
- Numerical simulation of high Mach number astrophysical jets with radiative cooling
- Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes
- A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
- Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws
- Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
- Shock Capturing for Discontinuous Galerkin Methods using Finite Volume Subcells
- Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method
- Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems
- Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws
- Implementing Spectral Methods for Partial Differential Equations
- An Invariant Domain Preserving MUSCL Scheme
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Finite element flux-corrected transport (FEM-FCT) for the euler and Navier-Stokes equations
- On Godunov-Type Methods for Gas Dynamics
- On a Cell Entropy Inequality for Discontinuous Galerkin Methods
- Invariant Domains and Second-Order Continuous Finite Element Approximation for Scalar Conservation Equations
- Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes
- Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
- Systems of conservation laws
- Unnamed Item
- Unnamed Item
- Unnamed Item
