DOI10.1016/j.jcp.2009.11.010zbMath1329.76153OpenAlexW1965920509MaRDI QIDQ846605
David L. Darmofal, Garrett E. Barter
Publication date: 9 February 2010
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2009.11.010
A posteriori sub-cell finite volume limiting of staggered semi-implicit discontinuous Galerkin schemes for the shallow water equations ⋮
A \(p\)-weighted limiter for the discontinuous Galerkin method on one-dimensional and two-dimensional triangular grids ⋮
A neural network based shock detection and localization approach for discontinuous Galerkin methods ⋮
A NURBS-based discontinuous Galerkin method for conservation laws with high-order moving meshes ⋮
A wavelet-free approach for multiresolution-based grid adaptation for conservation laws ⋮
Low-dissipation BVD schemes for single and multi-phase compressible flows on unstructured grids ⋮
A comparison of artificial viscosity, limiters, and filters, for high order discontinuous Galerkin solutions in nonlinear settings ⋮
A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows ⋮
A Legendre spectral viscosity (LSV) method applied to shock capturing for high-order flux reconstruction schemes ⋮
Stabilized high-order Galerkin methods based on a parameter-free dynamic SGS model for LES ⋮
Generalised summation-by-parts operators and variable coefficients ⋮
An entropy-variables-based formulation of residual distribution schemes for non-equilibrium flows ⋮
A discontinuous Galerkin Chimera scheme ⋮
Computation of flows with shocks using the spectral difference method with artificial viscosity. I: Basic formulation and application ⋮
Computation of flows with shocks using the spectral difference method with artificial viscosity. II: Modified formulation with local mesh refinement ⋮
Shock capturing with entropy-based artificial viscosity for staggered grid discontinuous spectral element method ⋮
Entropy-based viscous regularization for the multi-dimensional Euler equations in low-Mach and transonic flows ⋮
Homotopy continuation of the high-order flux reconstruction/correction procedure via reconstruction (FR/CPR) method for steady flow simulation ⋮
Efficient simulation of one-dimensional two-phase flow with a high-order \(h\)-adaptive space-time discontinuous Galerkin method ⋮
Mitigation of post-shock oscillations induced by artificial viscosity in discontinuous finite element methods ⋮
High-order solution-adaptive central essentially non-oscillatory (CENO) method for viscous flows ⋮
\textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws ⋮
A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of compressible flows on unstructured triangular meshes ⋮
Computational Study of Hypersonic Rarefied Gas Flow over Re-Entry Vehicles Using the Second-Order Boltzmann-Curtiss Constitutive Model ⋮
A Divergence-Free High-Order Spectral Difference Method with Constrained Transport for Ideal Compressible Magnetohydrodynamics ⋮
Positivity-preserving entropy-based adaptive filtering for discontinuous spectral element methods ⋮
A nonlinear filter for high-order discontinuous Galerkin discretizations with discontinuity resolution within the cell ⋮
High-order discontinuous Galerkin method for applications to multicomponent and chemically reacting flows ⋮
An artificial diffusivity discontinuous Galerkin scheme for discontinuous flows ⋮
An entropy stable, hybridizable discontinuous Galerkin method for the compressible Navier-Stokes equations ⋮
An oscillation-free discontinuous Galerkin method for shallow water equations ⋮
Adaptive modal filters based on artificial and spectral viscosity techniques ⋮
An adaptive viscosity regularization approach for the numerical solution of conservation laws: application to finite element methods ⋮
High-order implicit shock tracking boundary conditions for flows with parametrized shocks ⋮
Application of discontinuous Galerkin method in supersonic and hypersonic gas flows ⋮
Invariant Domain Preserving High-Order Spectral Discontinuous Approximations of Hyperbolic Systems ⋮
A high-order residual-based viscosity finite element method for incompressible variable density flow ⋮
A space-time high-order implicit shock tracking method for shock-dominated unsteady flows ⋮
Implicit hybridized discontinuous Galerkin methods for compressible magnetohydrodynamics ⋮
High order discontinuous Galerkin simulation of hypersonic shock-boundary layer interaction using subcell limiting approach ⋮
Revisit of dilation-based shock capturing for discontinuous Galerkin methods ⋮
High Order Edge Sensors with $\ell^1$ Regularization for Enhanced Discontinuous Galerkin Methods ⋮
Element centered smooth artificial viscosity in discontinuous Galerkin method for propagation of acoustic shock waves on unstructured meshes ⋮
Implementation of the entropy viscosity method with the discontinuous Galerkin method ⋮
A space-time smooth artificial viscosity method with wavelet noise indicator and shock collision scheme. I: The 1-\(D\) case ⋮
Entropy stable artificial dissipation based on Brenner regularization of the Navier-Stokes equations ⋮
A simple shock‐capturing technique for high‐order discontinuous Galerkin methods ⋮
Characteristic modal shock detection for discontinuous finite element methods ⋮
A coupled finite volume and material point method for two-phase simulation of liquid-sediment and gas-sediment flows ⋮
A scalable solution strategy for high-order stabilized finite-element solvers using an implicit line preconditioner ⋮
A Multi-Dimensional Shock-Capturing Limiter for High-Order Least Square-Based Finite Difference-Finite Volume Method on Unstructured Grids ⋮
Explicit discontinuous spectral element method with entropy generation based artificial viscosity for shocked viscous flows ⋮
An implicit block ILU smoother for preconditioning of Newton-Krylov solvers with application in high-order stabilized finite-element methods ⋮
A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework ⋮
A GPU accelerated level set reinitialization for an adaptive discontinuous Galerkin method ⋮
On the Spectral Difference Method with Modal Filtering Applied to the Euler Equations ⋮
Smooth and compactly supported viscous sub-cell shock capturing for discontinuous Galerkin methods ⋮
High-order multi-dimensional limiting strategy with subcell resolution. I: Two-dimensional mixed meshes ⋮
High accuracy flow simulations: advances and challenges for future needs in aeronautics ⋮
A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of scalar hyperbolic conservation laws ⋮
Lyapunov exponents and adaptive mesh refinement for high-speed flows using a discontinuous Galerkin scheme ⋮
A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes ⋮
Discontinuous approximation of viscous two-phase flow in heterogeneous porous media ⋮
Hybridizable discontinuous Galerkin projection methods for Navier-Stokes and Boussinesq equations ⋮
An overset mesh approach for 3D mixed element high-order discretizations ⋮
An entropy-residual shock detector for solving conservation laws using high-order discontinuous Galerkin methods ⋮
Shock capturing by Bernstein polynomials for scalar conservation laws ⋮
Numerical investigation of a viscous regularization of the Euler equations by entropy viscosity ⋮
An adjoint-based hp-adaptive stabilized finite-element method with shock capturing for turbulent flows ⋮
Shock capturing for discontinuous Galerkin methods with application to predicting heat transfer in hypersonic flows ⋮
On a robust and accurate localized artificial diffusivity scheme for the high-order flux-reconstruction method ⋮
On discretely entropy stable weight-adjusted discontinuous Galerkin methods: curvilinear meshes ⋮
A unified construction of all-speed HLL-type schemes for hypersonic heating computations ⋮
Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks ⋮
Utilizing time-reversibility for shock capturing in nonlinear hyperbolic conservation laws ⋮
Assessment of shock capturing schemes for discontinuous Galerkin method ⋮
Efficient parallelization of a shock capturing for discontinuous Galerkin methods using finite volume sub-cells
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