An adaptive viscosity regularization approach for the numerical solution of conservation laws: application to finite element methods
From MaRDI portal
Publication:6087919
DOI10.1016/j.jcp.2023.112507arXiv2305.00461OpenAlexW4386865284MaRDI QIDQ6087919
Ngoc Cuong Nguyen, Jordi Vila-Pérez, Jaime Peraire
Publication date: 16 November 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.00461
conservation lawsfinite element methodsshock wavesdiscontinuous Galerkin methodsshock capturingadaptive viscosity
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
- Directional artificial fluid properties for compressible large-eddy simulation
- Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes
- Entropy-bounded discontinuous Galerkin scheme for Euler equations
- Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics
- A high-wavenumber viscosity for high-resolution numerical methods
- An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations
- Explicit discontinuous spectral element method with entropy generation based artificial viscosity for shocked viscous flows
- An entropy-residual shock detector for solving conservation laws using high-order discontinuous Galerkin methods
- Suitability of artificial bulk viscosity for large-eddy simulation of turbulent flows with shocks
- Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method
- A modified artificial viscosity approach for compressible turbulence simulations
- Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves
- Assessment of localized artificial diffusivity scheme for large-eddy simulation of compressible turbulent flows
- Shock capturing with PDE-based artificial viscosity for DGFEM. I: Formulation
- 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
- A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
- Hybridized discontinuous Galerkin methods for wave propagation
- A comparison of hybridized and standard DG methods for target-based \textit{hp}-adaptive simulation of compressible flow
- Computation of flows with shocks using the spectral difference method with artificial viscosity. II: Modified formulation with local mesh refinement
- Shock capturing with entropy-based artificial viscosity for staggered grid discontinuous spectral element method
- A hybridized discontinuous Galerkin method on mapped deforming domains
- The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows
- Hyperviscosity for shock-turbulence interactions
- An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions
- Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations.
- A least-squares formulation of the moving discontinuous Galerkin finite element method with interface condition enforcement
- Implicit shock tracking for unsteady flows by the method of lines
- Shock capturing for discontinuous Galerkin methods with application to predicting heat transfer in hypersonic flows
- Vanishing viscosity solutions of the compressible Euler equations with spherical symmetry and large initial data
- Efficient parallelization of a shock capturing for discontinuous Galerkin methods using finite volume sub-cells
- A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
- Vanishing viscosity solutions of nonlinear hyperbolic systems
- Limiters for high-order discontinuous Galerkin methods
- Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method
- Artificial fluid properties for large-eddy simulation of compressible turbulent mixing
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Convergence of Spectral Methods for Nonlinear Conservation Laws
- An entropy stable, hybridizable discontinuous Galerkin method for the compressible Navier-Stokes equations
- Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
- Legendre Pseudospectral Viscosity Method for Nonlinear Conservation Laws
- Higher‐order and adaptive discontinuous Galerkin methods with shock‐capturing applied to transonic turbulent delta wing flow
- A Method for the Numerical Calculation of Hydrodynamic Shocks
- A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods
