Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes
From MaRDI portal
Publication:347877
DOI10.1016/j.jcp.2013.04.012zbMath1349.65501OpenAlexW2116443661MaRDI QIDQ347877
Xinghui Zhong, Chi-Wang Shu, Jianxian Qiu, Jun Zhu
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2013.04.012
Related Items
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 \(p\)-weighted limiter for the discontinuous Galerkin method on one-dimensional and two-dimensional triangular grids ⋮ High order central WENO-implicit-explicit Runge Kutta schemes for the BGK model on general polygonal meshes ⋮ Arbitrary high-order non-oscillatory scheme on hybrid unstructured grids based on multi-moment finite volume method ⋮ High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: scalable SSDC algorithms and flow solver ⋮ On the robustness and performance of entropy stable collocated discontinuous Galerkin methods ⋮ \textit{A posteriori} finite-volume local subcell correction of high-order discontinuous Galerkin schemes for the nonlinear shallow-water equations ⋮ Non-linear Boltzmann equation on hybrid-unstructured non-conforming multi-domains ⋮ Non-linear stabilization of high-order flux reconstruction schemes via Fourier-spectral filtering ⋮ High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments ⋮ Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms ⋮ Space-time adaptive ADER discontinuous Galerkin finite element schemes with \textit{a posteriori} sub-cell finite volume limiting ⋮ A hybrid Hermite-WENO/slope limiter for reconstructed discontinuous Galerkin methods on unstructured grids ⋮ A finite volume multi-moment method with boundary variation diminishing principle for Euler equation on three-dimensional hybrid unstructured grids ⋮ A residual-based h-adaptive reconstructed discontinuous Galerkin method for the compressible Euler equations on unstructured grids ⋮ A priori subcell limiting based on compact nonuniform nonlinear weighted schemes of high-order CPR method for hyperbolic conservation laws ⋮ A third-order gas-kinetic CPR method for the Euler and Navier-Stokes equations on triangular meshes ⋮ The discontinuous Galerkin spectral element methods for compressible flows on two-dimensional mixed grids ⋮ 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 ⋮ Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations ⋮ Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws ⋮ A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow ⋮ A data-driven shock capturing approach for discontinuous Galerkin methods ⋮ Optimized geometrical metrics satisfying free-stream preservation ⋮ A new type of increasingly high-order multi-resolution trigonometric WENO schemes for hyperbolic conservation laws and highly oscillatory problems ⋮ A nonlinear filter for high-order discontinuous Galerkin discretizations with discontinuity resolution within the cell ⋮ Convergence to steady-state solutions of the new type of high-order multi-resolution WENO schemes: a numerical study ⋮ High-order discontinuous Galerkin method for applications to multicomponent and chemically reacting flows ⋮ Eulerian--Lagrangian Runge--Kutta Discontinuous Galerkin Method for Transport Simulations on Unstructured Meshes ⋮ A discontinuous Galerkin approach for high-resolution simulations of three-dimensional flows ⋮ A hybrid pressure-density-based Mach uniform algorithm for 2D Euler equations on unstructured grids by using multi-moment finite volume method ⋮ A family of fast multi-resolution ENO schemes for compressible flows ⋮ Symmetry-preserving WENO-type reconstruction schemes in Lagrangian hydrodynamics ⋮ An adaptive viscosity regularization approach for the numerical solution of conservation laws: application to finite element methods ⋮ A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations ⋮ An oscillation-free bound-preserving discontinuous Galerkin method for multi-component chemically reacting flows ⋮ A new type of finite volume WENO schemes for hyperbolic conservation laws ⋮ The compact and accuracy preserving limiter for high-order finite volume schemes solving compressible flows ⋮ Numerical study on the convergence to steady state solutions of a new class of high order WENO schemes ⋮ A new third order finite volume weighted essentially non-oscillatory scheme on tetrahedral meshes ⋮ Hybrid DG/FV schemes for magnetohydrodynamics and relativistic hydrodynamics ⋮ Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other Methods ⋮ 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 ⋮ New Finite Volume Weighted Essentially Nonoscillatory Schemes on Triangular Meshes ⋮ On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations ⋮ A variational reconstructed discontinuous Galerkin method for the steady-state compressible flows on unstructured grids ⋮ \textit{A posteriori} correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction ⋮ A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes ⋮ Entropy stable artificial dissipation based on Brenner regularization of the Navier-Stokes equations ⋮ High-order multi-moment finite volume method with smoothness adaptive fitting reconstruction for compressible viscous flow ⋮ Bounded and compact weighted essentially nonoscillatory limiters for discontinuous Galerkin schemes: triangular elements ⋮ A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws ⋮ High order direct arbitrary-Lagrangian-Eulerian (ALE) \(P_NP_M\) schemes with WENO adaptive-order reconstruction on unstructured meshes ⋮ A new WENO based Chebyshev spectral volume method for solving one- and two-dimensional conservation laws ⋮ A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes ⋮ Современные методы математического моделирования развития гидродинамических неустойчивостей и турбулентного перемешивания ⋮ A new WENO weak Galerkin finite element method for time dependent hyperbolic equations ⋮ Fast inversion of the simplicial Bernstein mass matrix ⋮ High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes ⋮ A New Fifth-Order Trigonometric WENO Scheme for Hyperbolic Conservation Laws and Highly Oscillatory Problems ⋮ Explicit discontinuous spectral element method with entropy generation based artificial viscosity for shocked viscous flows ⋮ A family of fourth-order entropy stable nonoscillatory spectral collocation schemes for the 1-D Navier-Stokes equations ⋮ Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter on Unstructured Meshes ⋮ A hierarchical reconstruction for DG/FV method with low dispersion: basic formulation and applications ⋮ A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws ⋮ An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations ⋮ A New Type of High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes ⋮ A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework ⋮ High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes ⋮ A new type of multi-resolution WENO schemes with increasingly higher order of accuracy ⋮ A simple, high-order and compact WENO limiter for RKDG method ⋮ A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes ⋮ Efficient high-order discontinuous Galerkin schemes with first-order hyperbolic advection-diffusion system approach ⋮ An entropy-residual shock detector for solving conservation laws using high-order discontinuous Galerkin methods ⋮ A new very high-order upwind directional multi-layer compact (DMLC) scheme for multi-dimensional flows ⋮ A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework on unstructured meshes ⋮ A discontinuous Galerkin method for a new class of Green-Naghdi equations on simplicial unstructured meshes ⋮ Well-balanced discontinuous Galerkin method for shallow water equations with constant subtraction techniques on unstructured meshes ⋮ New finite difference Hermite WENO schemes for Hamilton-Jacobi equations ⋮ A compact subcell WENO limiting strategy using immediate neighbors for Runge-Kutta discontinuous Galerkin methods for unstructured meshes ⋮ High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations ⋮ A High Order Stable Conservative Method for Solving Hyperbolic Conservation Laws on Arbitrarily Distributed Point Clouds ⋮ New very high-order upwind multi-layer compact (MLC) schemes with spectral-like resolution for flow simulations ⋮ A high-order and interface-preserving discontinuous Galerkin method for level-set reinitialization ⋮ High order modal discontinuous Galerkin implicit-explicit Runge Kutta and linear multistep schemes for the Boltzmann model on general polygonal meshes ⋮ Compact multi-stage reconstruction method on polyhedral unstructured grids: extension to higher-order finite volume scheme ⋮ Combined numerical schemes ⋮ A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework ⋮ A short note on a 3D spectral analysis for turbulent flows on unstructured meshes ⋮ A p-adaptive discontinuous Galerkin method with hp-shock capturing
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
- Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
- Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes
- Numerical solutions of partial differential equations
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Uniformly high order accurate essentially non-oscillatory schemes. III
- 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
- Weighted essentially non-oscillatory schemes on triangular meshes
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Parallel, adaptive finite element methods for conservation laws
- Weighted essentially non-oscillatory schemes
- 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.
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids
- Efficient implementation of weighted ENO schemes
- A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
- 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
- A Comparison of Troubled-Cell Indicators for Runge--Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters
- A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods
- A technique of treating negative weights in WENO schemes