A new high-order RKDG method based on the TENO-THINC scheme for shock-capturing

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

Unnamed Item
Unnamed Item
Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method, III: Unstructured meshes
High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
Boundary variation diminishing (BVD) reconstruction: a new approach to improve Godunov schemes
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes
The numerical simulation of two-dimensional fluid flow with strong shocks
Efficient implementation of essentially nonoscillatory shock-capturing schemes
Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
The Gibbs- Wilbraham phenomenon: An episode in Fourier analysis
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
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
Numerical simulations of compressible multicomponent and multiphase flow using a high-order targeted ENO (TENO) finite-volume method
Targeted ENO schemes with tailored resolution property for hyperbolic conservation laws
Anti-diffusive flux corrections for high order finite difference WENO schemes
Implicit large eddy simulation of compressible turbulence flow with $\mathrm{P}_n\mathrm{T}_m-\mathrm{BVD}$ scheme
Numerical symmetry-preserving techniques for low-dissipation shock-capturing schemes
An efficient low-dissipation high-order TENO scheme for MHD flows
Two dimensional analysis and optimization of hybrid MDCD-TENO schemes
A high-order weighted compact nonlinear scheme for compressible Flows
Symmetry-preserving enforcement of low-dissipation method based on boundary variation diminishing principle
An efficient targeted ENO scheme with local adaptive dissipation for compressible flow simulation
A low-dissipation shock-capturing framework with flexible nonlinear dissipation control
An alternative formulation of targeted ENO scheme for hyperbolic conservation laws
A novel high-order low-dissipation TENO-THINC scheme for hyperbolic conservation laws
A fifth-order low-dissipation discontinuity-resolving TENO scheme for compressible flow simulation
Solution property preserving reconstruction BVD+MOOD scheme for compressible Euler equations with source terms and detonations
A fifth-order shock capturing scheme with two-stage boundary variation diminishing algorithm
A new class of adaptive high-order targeted ENO schemes for hyperbolic conservation laws
High-order low-dissipation targeted ENO schemes for ideal magnetohydrodynamics
A family of high-order targeted ENO schemes for compressible-fluid simulations
A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes
A very-high-order TENO scheme for all-speed gas dynamics and turbulence
Shock Capturing for Discontinuous Galerkin Methods using Finite Volume Subcells
The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
TVB Uniformly High-Order Schemes for Conservation Laws
TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
Runge-Kutta Discontinuous Galerkin Method Using Weno-Type Limiters: Three-Dimensional Unstructured Meshes
Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
Direct numerical simulation of a hypersonic transitional boundary layer at suborbital enthalpies
Detonation Simulations with a Fifth-Order TENO Scheme
A Targeted ENO Scheme as Implicit Model for Turbulent and Genuine Subgrid Scales
A Higher Order Interpolation Scheme of Finite Volume Method for Compressible Flow on Curvilinear Grids
A simple algebraic interface capturing scheme using hyperbolic tangent function
Weak solutions of nonlinear hyperbolic equations and their numerical computation
HTR solver: an open-source exascale-oriented task-based multi-GPU high-order code for hypersonic aerothermodynamics
A low-dissipation finite-volume method based on a new TENO shock-capturing scheme
A Five-Point TENO Scheme with Adaptive Dissipation Based on a New Scale Sensor
High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws
A new troubled cell indicator and a new limiter based on TENO schemes for RKDG methods
Efficient dimension-by-dimension adaptive TENO-based limiter and troubled-cell indicator for nodal-based high-order spectral difference method

This page was built for publication: A new high-order RKDG method based on the TENO-THINC scheme for shock-capturing