Entropy stable non-oscillatory fluxes: an optimized wedding of entropy conservative flux with non-oscillatory flux
From MaRDI portal
Publication:6196084
DOI10.1515/jnma-2022-0075arXiv2108.07088OpenAlexW3194621008MaRDI QIDQ6196084
Publication date: 14 March 2024
Published in: Journal of Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.07088
maximum principlehyperbolic conservation lawsentropy stabilityleast square optimizationhigh-order non-oscillatory schemessign stability property
Numerical optimization and variational techniques (65K10) Stability in context of PDEs (35B35) Maximum principles in context of PDEs (35B50) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Higher-order nonlinear hyperbolic equations (35L75)
Cites Work
- Unnamed Item
- Unnamed Item
- Perfect derivatives, conservative differences and entropy stable computation of hyperbolic conservation laws
- Modified non-linear weights for fifth-order weighted essentially non-oscillatory schemes
- High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
- A new smoothness indicator for improving the weighted essentially non-oscillatory scheme
- Entropy-TVD scheme for nonlinear scalar conservation laws
- High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
- Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
- On the concept of matrix derivative
- High resolution schemes for hyperbolic conservation laws
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- Weighted essentially non-oscillatory schemes
- A well-behaved TVD limiter for high-resolution calculations of unsteady flow
- Power ENO methods: A fifth-order accurate weighted power ENO method.
- Comparison of some entropy conservative numerical fluxes for the Euler equations
- Low dissipative entropy stable schemes using third order WENO and TVD reconstructions
- Entropy-TVD scheme for the shallow water equations in one dimension
- A modified fifth-order WENO scheme for hyperbolic conservation laws
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- A unified coordinate system for solving the two-dimensional Euler equations
- Efficient implementation of weighted ENO schemes
- ENO reconstruction and ENO interpolation are stable
- Suitable diffusion for constructing non-oscillatory entropy stable schemes
- High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics
- ENO and WENO schemes using arc-length based smoothness measurement
- An improved weighted essentially non-oscillatory scheme with a new smoothness indicator
- The scaled entropy variables reconstruction for entropy stable schemes with application to shallow water equations
- Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- A third-order entropy stable scheme for hyperbolic conservation laws
- Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws
- A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws
- Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
- High Resolution Schemes and the Entropy Condition
- On Convergence of Monotone Finite Difference Schemes with Variable Spatial Differencing
- On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
- Second-Order Conservative Schemes and the Entropy Condition
- Uniformly High-Order Accurate Nonoscillatory Schemes. I
- The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
- A Geometric Approach to High Resolution TVD Schemes
- Total-Variation-Diminishing Time Discretizations
- Convenient Total Variation Diminishing Conditions for Nonlinear Difference Schemes
- Monotone Difference Approximations for Scalar Conservation Laws
- Computational Gasdynamics
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- Total variation diminishing Runge-Kutta schemes
- Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations
- Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
- Finite Volume Methods for Hyperbolic Problems
- High-order accurate, fully discrete entropy stable schemes for scalar conservation laws
- Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder
- Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
- Centred TVD schemes for hyperbolic conservation laws
- Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
- Efficient high‐resolution relaxation schemes for hyperbolic systems of conservation laws
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
- Symmetric hyperbolic linear differential equations
This page was built for publication: Entropy stable non-oscillatory fluxes: an optimized wedding of entropy conservative flux with non-oscillatory flux
