Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics
DOI10.1016/j.jcp.2023.112669arXiv2305.14805MaRDI QIDQ6187644
Chaoyi Cai, Jianxian Qiu, Kailiang Wu
Publication date: 31 January 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.14805
Newton-Raphson methodfinite volume schemehigh-order accuracyrelativistic hydrodynamicsHermite WENOphysical-constraint-preserving
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement
- Runge-Kutta discontinuous Galerkin methods with WENO limiter for the special relativistic hydrodynamics
- Positivity-preserving method for high-order conservative schemes solving compressible Euler equations
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
- A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws
- Formulation of discontinuous Galerkin methods for relativistic astrophysics
- A subluminal relativistic magnetohydrodynamics scheme with ADER-WENO predictor and multidimensional Riemann solver-based corrector
- A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
- Multi-domain hybrid spectral-WENO methods for hyperbolic conservation laws
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- Numerical hydrodynamics and magnetohydrodynamics in general relativity
- High resolution schemes for hyperbolic conservation laws
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Weighted essentially non-oscillatory schemes on triangular meshes
- Weighted essentially non-oscillatory schemes
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
- Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
- SpECTRE: A task-based discontinuous Galerkin code for relativistic astrophysics
- A new type of finite volume WENO schemes for hyperbolic conservation laws
- Bound-preserving high-order schemes for hyperbolic equations: survey and recent developments
- A new hybrid WENO scheme for hyperbolic conservation laws
- Relativistic hydrodynamics and essentially non-oscillatory shock capturing schemes
- Efficient implementation of weighted ENO schemes
- Hybrid weighted essentially non-oscillatory schemes with different indicators
- Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations
- A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes
- Physical-constraints-preserving Lagrangian finite volume schemes for one- and two-dimensional special relativistic hydrodynamics
- A hybrid Hermite WENO scheme for hyperbolic conservation laws
- High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics
- Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics
- Parametrized positivity preserving flux limiters for the high order finite difference WENO scheme solving compressible Euler equations
- Algorithm 954
- Bound-Preserving High-Order Schemes
- Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics
- Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem
- Central WENO schemes for hyperbolic systems of conservation laws
- An Adaptive Moving Mesh Method for Two-Dimensional Relativistic Hydrodynamics
- Minimum Principle on Specific Entropy and High-Order Accurate Invariant-Region-Preserving Numerical Methods for Relativistic Hydrodynamics
- High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics
- Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations
- High-order fully general-relativistic hydrodynamics: new approaches and tests
- Relativistic Numerical Hydrodynamics
- Numerical hydrodynamics in special relativity
- A technique of treating negative weights in WENO schemes
- Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes
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