A residual-based artificial viscosity finite difference method for scalar conservation laws
From MaRDI portal
Publication:2124889
DOI10.1016/j.jcp.2020.110100OpenAlexW3121030821MaRDI QIDQ2124889
Vidar Stiernström, Murtazo Nazarov, Lukas Lundgren, Ken Mattsson
Publication date: 11 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2020.110100
conservation lawsartificial viscosityshock-capturinghigh-order finite difference methodsSBP-SATresidual-based error estimator
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)
Related Items
Energy stable and accurate coupling of finite element methods and finite difference methods, A high-order residual-based viscosity finite element method for the ideal MHD equations, Physics-informed neural networks with adaptive localized artificial viscosity, A high-order residual-based viscosity finite element method for incompressible variable density flow, A high-order artificial compressibility method based on Taylor series time-stepping for variable density flow, Implicit summation by parts operators for finite difference approximations of first and second derivatives, Residual viscosity stabilized RBF-FD methods for solving nonlinear conservation laws
Cites Work
- Unnamed Item
- High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
- Review of summation-by-parts schemes for initial-boundary-value problems
- Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients
- A maximum-principle preserving \(C^0\) finite element method for scalar conservation equations
- Convergence of a residual based artificial viscosity finite element method
- Entropy viscosity method for nonlinear conservation laws
- Wave propagation in anisotropic elastic materials and curvilinear coordinates using a summation-by-parts finite difference method
- Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation
- Entropy-based nonlinear viscosity for Fourier approximations of conservation laws
- Third-order energy stable WENO scheme
- Skew-selfadjoint form for systems of conservation laws
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Summation by parts for finite difference approximations for \(d/dx\)
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- Weighted essentially non-oscillatory schemes
- High-fidelity sound propagation in a varying 3D atmosphere
- Generalised summation-by-parts operators and variable coefficients
- Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
- A comparison of higher-order finite-difference shock capturing schemes
- Diagonal-norm upwind SBP operators
- Summation by parts operators for finite difference approximations of second derivatives
- Mimetic properties of difference operators: product and chain rules as for functions of bounded variation and entropy stability of second derivatives
- An improved projection method
- Non-stiff boundary and interface penalties for narrow-stencil finite difference approximations of the Laplacian on curvilinear multiblock grids
- An efficient finite difference method for the shallow water equations
- A high-order finite-difference scheme to model the fluid-structure interaction in pneumatic seismic sources
- Encapsulated high order difference operators on curvilinear non-conforming grids
- Entropy stable artificial dissipation based on Brenner regularization of the Navier-Stokes equations
- Numerical investigation of a viscous regularization of the Euler equations by entropy viscosity
- Nonlinear artificial viscosity for spectral element methods
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Stabilized high-order Galerkin methods based on a parameter-free dynamic SGS model for LES
- On stability of numerical schemes via frozen coefficients and the magnetic induction equations
- Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions
- Accurate partial difference methods. II: Non-linear problems
- A Second-Order Maximum Principle Preserving Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations
- Solving Ordinary Differential Equations I
- Generalized Summation-by-Parts Operators for the Second Derivative
- Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws
- On the Convergence of Shock-Capturing Streamline Diffusion Finite Element Methods for Hyperbolic Conservation Laws
- Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting
- Convergence of a Shock-Capturing Streamline Diffusion Finite Element Method for a Scalar Conservation Law in Two Space Dimensions
- Residual‐based artificial viscosity for simulation of turbulent compressible flow using adaptive finite element methods
- Systems of conservation laws
- Weak solutions of nonlinear hyperbolic equations and their numerical computation