A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework
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Publication:5162149
DOI10.4208/cicp.OA-2019-0118zbMath1491.76046OpenAlexW3012383019MaRDI QIDQ5162149
Publication date: 1 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/cicp.oa-2019-0118
shock capturinghigh order discontinuous Galerkin methodaveraged modal decay modeldilation-based modelentropy viscosity modelhighest modal decay model
Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
- Unnamed Item
- Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes
- \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
- Direct numerical simulation of compressible turbulent channel flows using the discontinuous Galerkin method
- Implementation of the entropy viscosity method with the discontinuous Galerkin method
- A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
- Entropy viscosity method for nonlinear conservation laws
- A high-wavenumber viscosity for high-resolution numerical methods
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method, III: Unstructured meshes
- Explicit discontinuous spectral element method with entropy generation based artificial viscosity for shocked viscous flows
- A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes
- Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods
- Hierarchical multi-dimensional limiting strategy for correction procedure via reconstruction
- Suitability of artificial bulk viscosity for large-eddy simulation of turbulent flows with shocks
- Shock capturing with PDE-based artificial viscosity for DGFEM. I: Formulation
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
- An artificial nonlinear diffusivity method for supersonic reacting flows with shocks
- Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes
- Localized artificial diffusivity scheme for discontinuity capturing on curvilinear meshes
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- 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.
- Effects of artificial viscosity and upwinding on spectral properties of the discontinuous Galerkin method
- Evaluation of a high-order discontinuous Galerkin method for the DNS of turbulent flows
- Computation of flows with shocks using the spectral difference method with artificial viscosity. I: Basic formulation and application
- Shock capturing with entropy-based artificial viscosity for staggered grid discontinuous spectral element method
- A new vertex-based limiting approach for nodal discontinuous Galerkin methods on arbitrary unstructured meshes
- Hyperviscosity for shock-turbulence interactions
- \textit{A posteriori} correction of high-order discontinuous Galerkin scheme through subcell finite volume formulation and flux reconstruction
- On a robust and accurate localized artificial diffusivity scheme for the high-order flux-reconstruction method
- Linear dispersion-diffusion analysis and its application to under-resolved turbulence simulations using discontinuous Galerkin spectral/\(hp\) methods
- A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
- The effect of artificial bulk viscosity in simulations of forced compressible turbulence
- Limiters for high-order discontinuous Galerkin methods
- Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids
- Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method
- Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
- High‐order CFD methods: current status and perspective
- Slope limiting for discontinuous Galerkin approximations with a possibly non‐orthogonal Taylor basis
- A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws
- Adaptive discontinuous Galerkin methods with shock‐capturing for the compressible Navier–Stokes equations
- A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods
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