A shock capturing artificial viscosity scheme in consistent with the compact high-order finite volume methods
type: Item
instance of: scholarly article
title: A shock capturing artificial viscosity scheme in consistent with the compact high-order finite volume methods
author: Zhuohang Wu
author: Yu-Xin Ren
published in: Journal of Computational Physics
publication date: 2024-10-08T00:00:00Z
Mathematics Subject Classification ID: 65Mxx
Mathematics Subject Classification ID: 76Mxx
Mathematics Subject Classification ID: 35Lxx
zbMATH DE Number: 7922790
zbMATH Keywords: high-order finite volume scheme
zbMATH Keywords: unstructured grid
zbMATH Keywords: shock capturing
zbMATH Keywords: artificial viscosity
zbMATH Keywords: interfacial jump integration
MaRDI profile type: Publication
cites work: High‐order CFD methods: current status and perspective
cites work: A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation
cites work: Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids
cites work: Weighted essentially non-oscillatory schemes on triangular meshes
cites work: Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems
cites work: TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
cites work: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
cites work: The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
cites work: Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
cites work: A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
cites work: Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations
cites work: Very high order \(P_NP_M\) schemes on unstructured meshes for the resistive relativistic MHD equations
cites work: Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
cites work: Spectral (finite) volume method for conservation laws on unstructured grids. II: Extension to two-dimensional scalar equation
cites work: Spectral (finite) volume method for conservation laws on unstructured grids. III: One-dimensional systems and partition optimization
cites work: Spectral (finite) volume method for conservation laws on unstructured grids. IV: Extension to two-dimensional systems.
cites work: Spectral difference method for unstructured grids. I. Basic formulation
cites work: Spectral difference method for unstructured grids. II. Extension to the Euler equations
cites work: A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
cites work: On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation
cites work: Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids
cites work: The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids
cites work: The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids. II: Extension to high order finite volume schemes
cites work: Accuracy preserving limiter for the high-order finite volume method on unstructured grids
cites work: Accuracy preserving limiter for the high-order accurate solution of the Euler equations
cites work: Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method, III: Unstructured meshes
cites work: A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
cites work: The multi-dimensional limiters for discontinuous Galerkin method on unstructured grids
cites work: Higher-order multi-dimensional limiting strategy for discontinuous Galerkin methods in compressible inviscid and viscous flows
cites work: Limiters for high-order discontinuous Galerkin methods
cites work: A Method for the Numerical Calculation of Hydrodynamic Shocks
cites work: Hyperviscosity for shock-turbulence interactions
cites work: A high-wavenumber viscosity for high-resolution numerical methods
cites work: An artificial nonlinear diffusivity method for supersonic reacting flows with shocks
cites work: Localized artificial diffusivity scheme for discontinuity capturing on curvilinear meshes
cites work: Shock capturing with PDE-based artificial viscosity for DGFEM. I: Formulation
cites work: Entropy viscosity method for nonlinear conservation laws
cites work: Adaptive discontinuous Galerkin methods with shock‐capturing for the compressible Navier–Stokes equations
cites work: Computation of flows with shocks using the spectral difference method with artificial viscosity. I: Basic formulation and application
cites work: On a robust and accurate localized artificial diffusivity scheme for the high-order flux-reconstruction method
cites work: A comparison of artificial viscosity, limiters, and filters, for high order discontinuous Galerkin solutions in nonlinear settings
cites work: Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks
cites work: \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
cites work: Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes
cites work: The compact and accuracy preserving limiter for high-order finite volume schemes solving compressible flows
cites work: On some aspects of the discontinuous Galerkin finite element method for conservation laws
cites work: Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
cites work: An entropy-residual shock detector for solving conservation laws using high-order discontinuous Galerkin methods
cites work: A Study of Several Artiﬁcial Viscosity Models within the Discontinuous Galerkin Framework
cites work: Compact high order finite volume method on unstructured grids. III: Variational reconstruction
cites work: Approximate Riemann solvers, parameter vectors, and difference schemes
cites work: Multidimensional dissipation for upwind schemes: Stability and applications to gas dynamics
cites work: Implicit time integration schemes for the unsteady compressible Navier-Stokes equations: Laminar flow
cites work: A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids
cites work: Compact high order finite volume method on unstructured grids II: extension to two-dimensional Euler equations
cites work: A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes
cites work: Q5490326
cites work: A variational reconstructed discontinuous Galerkin method for the steady-state compressible flows on unstructured grids
cites work: High-order compact finite volume schemes for solving the Reynolds averaged Navier-Stokes equations on the unstructured mixed grids with a large aspect ratio
cites work: A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
cites work: Weak solutions of nonlinear hyperbolic equations and their numerical computation
cites work: The numerical simulation of two-dimensional fluid flow with strong shocks
cites work: Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes

A shock capturing artificial viscosity scheme in consistent with the compact high-order finite volume methods (cites work)
cites work: Efficient implementation of weighted ENO schemes

A shock capturing artificial viscosity scheme in consistent with the compact high-order finite volume methods (DOI)
DOI: 10.1016/J.JCP.2024.113291