A modified a posteriori subcell limiter for high order flux reconstruction scheme for one-dimensional detonation simulation

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)

Cites Work

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PyFR: an open source framework for solving advection-diffusion type problems on streaming architectures using the flux reconstruction approach
\textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
Positivity-preserving method for high-order conservative schemes solving compressible Euler equations
Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations
On the non-linear stability of flux reconstruction schemes
An \(h\)-adaptive RKDG method with troubled-cell indicator for one-dimensional detonation wave simulations
A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
A proof of the stability of the spectral difference method for all orders of accuracy
A new class of high-order energy stable flux reconstruction schemes
Insights from von Neumann analysis of high-order flux reconstruction schemes
A numerical study of 2D detonation waves with adaptive finite volume methods on unstructured grids
Hierarchical multi-dimensional limiting strategy for correction procedure via reconstruction
A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
On Godunov-type methods near low densities
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes
On maximum-principle-satisfying high order schemes for scalar conservation laws
High resolution schemes for hyperbolic conservation laws
The numerical simulation of two-dimensional fluid flow with strong shocks
Efficient implementation of essentially nonoscillatory shock-capturing schemes
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
Parallel, adaptive finite element methods for conservation laws
An adaptive numerical scheme for high-speed reactive flow on overlapping grids.
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
High-order methods for computational fluid dynamics: a brief review of compact differential formulations on unstructured grids
A conservative staggered-grid Chebyshev multidomain method for compressible flows
High order weighted essentially non-oscillation schemes for two-dimensional detonation wave simulations
On the connection between the correction and weighting functions in the correction procedure via reconstruction method
On nodal point sets for flux reconstruction
\textit{A posteriori} correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
Improved detection criteria for the multi-dimensional optimal order detection (MOOD) on unstructured meshes with very high-order polynomials
Energy stable flux reconstruction schemes for advection-diffusion problems
Limiters for high-order discontinuous Galerkin methods
Simulations of pulsating one-dimensional detonations with true fifth order accuracy
Spectral difference method for unstructured grids. I. Basic formulation
Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids
ZEFR: a GPU-accelerated high-order solver for compressible viscous flows using the flux reconstruction method
High Order Weighted Essentially Non-Oscillation Schemes for One-Dimensional Detonation Wave Simulations
Shock Capturing for Discontinuous Galerkin Methods using Finite Volume Subcells
Theoretical and Numerical Structure for Unstable One-Dimensional Detonations
Riemann Solvers and Numerical Methods for Fluid Dynamics
High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
Uniformly High-Order Accurate Nonoscillatory Schemes. I
Numerical resolution of pulsating detonation waves
Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
On Accurately Resolving Detonation Dynamics by Adaptive Finite Volume Method on Unstructured Grids
An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax--Wendroff Time Discretization for Conservation Laws
A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods