DOI10.1006/jcph.2001.6718zbMath0979.65081OpenAlexW2070854540MaRDI QIDQ5935509
Pierre Sagaut, Charles-Henri Bruneau, A. Burbeau
Publication date: 10 February 2002
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.2001.6718
A modified a posteriori subcell limiter for high order flux reconstruction scheme for one-dimensional detonation simulation,
An adaptive viscosity regularization approach for the numerical solution of conservation laws: application to finite element methods,
Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws,
High-Order Local Discontinuous Galerkin Method with Multi-Resolution WENO Limiter for Navier-Stokes Equations on Triangular Meshes,
Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction,
Hybrid HWENO method for nonlinear degenerate parabolic equations,
A Posteriori Local Subcell Correction of High-Order Discontinuous Galerkin Scheme for Conservation Laws on Two-Dimensional Unstructured Grids,
A flux reconstruction stochastic Galerkin scheme for hyperbolic conservation laws,
An indicator-based hybrid limiter in discontinuous Galerkin methods for hyperbolic conservation laws,
A new troubled cell indicator and a new limiter based on TENO schemes for RKDG methods,
A Generalization of a Troubled-Cell Indicator to $h$-Adaptive Meshes for Discontinuous Galerkin Methods,
Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter on Unstructured Meshes,
A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework,
Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws,
High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes,
A high-order moment limiter for the discontinuous Galerkin method on triangular meshes,
Stable Runge-Kutta discontinuous Galerkin solver for hypersonic rarefied gaseous flow based on 2D Boltzmann kinetic model equations,
A posteriori sub-cell finite volume limiting of staggered semi-implicit discontinuous Galerkin schemes for the shallow water equations,
A neural network based shock detection and localization approach for discontinuous Galerkin methods,
RKDG methods with WENO limiters for unsteady cavitating flow,
High order discontinuous Galerkin discretizations with a new limiting approach and positivity preservation for strong moving shocks,
Optimized filters for stabilizing high-order large eddy simulation,
\textit{A posteriori} finite-volume local subcell correction of high-order discontinuous Galerkin schemes for the nonlinear shallow-water equations,
A high-order compact limiter based on spatially weighted projections for the spectral volume and the spectral differences method,
Implicit shock tracking for unsteady flows by the method of lines,
A discontinuous Galerkin method for shock capturing using a mixed high-order and sub-grid low-order approximation space,
A discontinuous Galerkin scheme for the numerical solution of flow problems with discontinuities,
A Legendre spectral viscosity (LSV) method applied to shock capturing for high-order flux reconstruction schemes,
Non-linear stabilization of high-order flux reconstruction schemes via Fourier-spectral filtering,
Embedded discontinuous Galerkin transport schemes with localised limiters,
High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments,
Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: One-dimensional case,
A comparative study of limiting strategies in discontinuous Galerkin schemes for the \(M_1\) model of radiation transport,
Higher-order multi-dimensional limiting strategy for discontinuous Galerkin methods in compressible inviscid and viscous flows,
Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms,
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case,
Space-time adaptive ADER discontinuous Galerkin finite element schemes with \textit{a posteriori} sub-cell finite volume limiting,
Runge-Kutta discontinuous Galerkin method with front tracking method for solving the compressible two-medium flow,
A dynamic \(p\)-adaptive discontinuous Galerkin method for viscous flow with shocks,
Simulation of real gas effects in supersonic methane jets using a tabulated equation of state with a discontinuous Galerkin spectral element method,
Higher-order multi-dimensional limiting process for DG and FR/CPR methods on tetrahedral meshes,
A high-order nodal discontinuous Galerkin method for solution of compressible non-cavitating and cavitating flows,
A priori subcell limiting based on compact nonuniform nonlinear weighted schemes of high-order CPR method for hyperbolic conservation laws,
Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes,
An improved simple WENO limiter for discontinuous Galerkin methods solving hyperbolic systems on unstructured meshes,
\textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws,
A data-driven shock capturing approach for discontinuous Galerkin methods,
Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn-Hilliard equation,
Implicit-Modal Discontinuous Galerkin Scheme for Two-Phase Flow with Discontinuous Capillary Pressure,
Acceleration of adjoint-based adaptation through sub-iterations,
A realizability-preserving discontinuous Galerkin method for the \(M_1\) model of radiative transfer,
Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow,
Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes,
STABILIZED DISCONTINUOUS GALERKIN METHODS FOR FLOW–SOUND INTERACTION,
A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers,
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method, III: Unstructured meshes,
Runge-Kutta discontinuous Galerkin methods with WENO limiter for the special relativistic hydrodynamics,
RKDG methods and WENO type limiters and conservative interfacial procedure for one-dimensional compressible multi-medium flow simulations,
Application of discontinuous Galerkin method in supersonic and hypersonic gas flows,
Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other Methods,
Revisit of dilation-based shock capturing for discontinuous Galerkin methods,
WENO schemes and their application as limiters for RKDG methods based on trigonometric approximation spaces,
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.,
Hybrid weighted essentially non-oscillatory schemes with different indicators,
Solving the advection-dispersion equation with discontinuous Galerkin and multipoint flux approximation methods on unstructured meshes,
A generic stabilization approach for higher order discontinuous Galerkin methods for convection dominated problems,
Simulating hydrostatic and non-hydrostatic oceanic flows,
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes,
Element centered smooth artificial viscosity in discontinuous Galerkin method for propagation of acoustic shock waves on unstructured meshes,
\textit{A posteriori} correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction,
Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws,
Detecting troubled-cells on two-dimensional unstructured grids using a neural network,
A new WENO based Chebyshev spectral volume method for solving one- and two-dimensional conservation laws,
High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters,
Hermite WENO-based limiters for high order discontinuous Galerkin method on unstructured grids,
A new WENO weak Galerkin finite element method for time dependent hyperbolic equations,
A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes,
A simple shock‐capturing technique for high‐order discontinuous Galerkin methods,
Characteristic modal shock detection for discontinuous finite element methods,
High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes,
Discontinuous Galerkin formulation for 2D hydrodynamic modelling: trade-offs between theoretical complexity and practical convenience,
Explicit discontinuous spectral element method with entropy generation based artificial viscosity for shocked viscous flows,
A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws,
An implicit dual-time stepping high-order nodal discontinuous Galerkin method for solving incompressible flows on triangle elements,
A vertex-based hierarchical slope limiter for \(p\)-adaptive discontinuous Galerkin methods,
Smooth and compactly supported viscous sub-cell shock capturing for discontinuous Galerkin methods,
A simple, high-order and compact WENO limiter for RKDG method,
Local DG method using WENO type limiters for convection-diffusion problems,
The discontinuous Galerkin method with Lax--Wendroff type time discretizations,
Magma flow through elastic-walled dikes,
An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions,
High-order Runge-Kutta discontinuous Galerkin methods with multi-resolution WENO limiters for solving steady-state problems,
A Runge-Kutta discontinuous Galerkin method for the Euler equations,
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,
Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods,
Hierarchical multi-dimensional limiting strategy for correction procedure via reconstruction,
Entropy preserving low dissipative shock capturing with wave-characteristic based sensor for high-order methods,
Shock capturing by Bernstein polynomials for scalar conservation laws,
A discontinuous Galerkin method for a new class of Green-Naghdi equations on simplicial unstructured meshes,
A limiting approach for DG discretizations on mixed type meshes,
A New Troubled-Cell Indicator for Discontinuous Galerkin Methods Using K-Means Clustering,
Well-balanced discontinuous Galerkin method for shallow water equations with constant subtraction techniques on unstructured meshes,
Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells,
On a robust and accurate localized artificial diffusivity scheme for the high-order flux-reconstruction method,
Solving the advection-diffusion equation on unstructured meshes with discontinuous/mixed finite elements and a local time stepping procedure,
Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method,
High-order implicit shock tracking (HOIST),
Assessment of shock capturing schemes for discontinuous Galerkin method,
Simulation of a viscous compressible flow past a circular cylinder with high-order discontinuous Galerkin methods,
Hybrid discontinuous Galerkin-finite volume techniques for compressible flows on unstructured meshes,
Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation,
A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework,
Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. I: General formulation.,
Efficient parallelization of a shock capturing for discontinuous Galerkin methods using finite volume sub-cells