Adaptive modal filters based on artificial and spectral viscosity techniques
DOI10.1007/s10915-018-0798-3zbMath1417.65175OpenAlexW2888146529MaRDI QIDQ2420701
Christopher R. Schrock, Eric M. Wolf
Publication date: 6 June 2019
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-018-0798-3
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Euler equations (35Q31)
Cites Work
- Unnamed Item
- Unnamed Item
- A comparison of artificial viscosity, limiters, and filters, for high order discontinuous Galerkin solutions in nonlinear settings
- Implementation of the entropy viscosity method with the discontinuous Galerkin method
- Entropy viscosity method for nonlinear conservation laws
- Stabilized spectral element computations of high Reynolds number incompressible flows
- The Legendre-Burgers equation: when artificial dissipation fails
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- Robust reprojection methods for the resolution of the Gibbs phenomenon
- Shock capturing with PDE-based artificial viscosity for DGFEM. I: Formulation
- Family of spectral filters for discontinuous problems
- Hyperviscous shock layers and diffusion zones: Monotonicity, spectral viscosity, and pseudospectral methods for very high order differential equations
- Restoration of the contact surface in the HLL-Riemann solver
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
- A spectral vanishing viscosity method for stabilizing viscoelastic flows
- A spectral vanishing viscosity method for large eddy simulations
- Space-time adaptive ADER discontinuous Galerkin finite element schemes with \textit{a posteriori} sub-cell finite volume limiting
- Trouble with Gegenbauer reconstruction for defeating Gibbs' phenomenon: Runge phenomenon in the diagonal limit of Gegenbauer polynomial approximations
- A Legendre pseudospectral viscosity method
- Enhanced spectral viscosity approximations for conservation laws
- Stabilisation of spectral/\(hp\) element methods through spectral vanishing viscosity: Application to fluid mechanics modelling
- Limiters for high-order discontinuous Galerkin methods
- Detection of Edges in Spectral Data II. Nonlinear Enhancement
- Strong Stability-Preserving High-Order Time Discretization Methods
- Adaptive Spectral Viscosity for Hyperbolic Conservation Laws
- Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method
- Facilitating the Adoption of Unstructured High-Order Methods Amongst a Wider Community of Fluid Dynamicists
- Application of spectral filtering to discontinuous Galerkin methods on triangulations
- Automated Parameters for Troubled-Cell Indicators Using Outlier Detection
- Filtering in Legendre spectral methods
- Convergence of Spectral Methods for Nonlinear Conservation Laws
- Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- On the Gibbs Phenomenon and Its Resolution
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- Spectral Vanishing Viscosity Method For Nonlinear Conservation Laws
- Legendre Pseudospectral Viscosity Method for Nonlinear Conservation Laws
- Filters, mollifiers and the computation of the Gibbs phenomenon
- The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
- A Comparison of Troubled-Cell Indicators for Runge--Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters
- Accuracy of High Order and Spectral Methods for Hyperbolic Conservation Laws with Discontinuous Solutions
