A high-order shock capturing discontinuous Galerkin–finite difference hybrid method for GRMHD
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Publication:5867530
DOI10.1088/1361-6382/ac8864OpenAlexW3202348133WikidataQ114096913 ScholiaQ114096913MaRDI QIDQ5867530
François Hébert, Saul A. Teukolsky, Nils Deppe, Lawrence E. Kidder
Publication date: 14 September 2022
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.11645
Nuclear physics (81V35) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Magnetohydrodynamics and electrohydrodynamics (76W05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Galactic and stellar structure (85A15) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Mathematical modeling or simulation for problems pertaining to relativity and gravitational theory (83-10)
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Cites Work
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- WENO schemes on arbitrary unstructured meshes for laminar, transitional and turbulent flows
- \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
- Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations
- Discontinuous Galerkin spectral element approximations on moving meshes
- Formulation of discontinuous Galerkin methods for relativistic astrophysics
- Flux-corrected transport techniques for multidimensional compressible magnetohydrodynamics
- Multi-domain hybrid spectral-WENO methods for hyperbolic conservation laws
- Numerical hydrodynamics and magnetohydrodynamics in general relativity
- ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- A family of embedded Runge-Kutta formulae
- A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Multidomain WENO finite difference method with interpolation at subdomain interfaces
- Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Hyperbolic divergence cleaning for the MHD equations
- SpECTRE: A task-based discontinuous Galerkin code for relativistic astrophysics
- Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes
- A parallel high-order CENO finite-volume scheme with AMR for three-dimensional ideal MHD flows
- An unsplit Godunov method for ideal MHD via constrained transport
- Spectral methods in general relativistic astrophysics
- A conservative staggered-grid Chebyshev multidomain method for compressible flows. II: A semi-structured method
- Definition and weak stability of nonconservative products
- An analysis of the spectrum of the discontinuous Galerkin method
- Aliasing instabilities in the numerical evolution of the Einstein field equations
- WENO schemes on unstructured meshes using a relaxed \textit{a posteriori} MOOD limiting approach
- Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems
- Limiters for high-order discontinuous Galerkin methods
- Solutions of multi-dimensional hyperbolic systems of conservation laws by square entropy condition satisfying discontinuous Galerkin method
- Stencil selection algorithms for WENO schemes on unstructured meshes
- Dynamical excision boundaries in spectral evolutions of binary black hole spacetimes
- Relativistic Hydrodynamics
- Key elements of robustness in binary black hole evolutions using spectral methods
- Analysis of an $hp$-Nonconforming Discontinuous Galerkin Spectral Element Method for Wave Propagation
- Shock Capturing for Discontinuous Galerkin Methods using Finite Volume Subcells
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- On a Cell Entropy Inequality for Discontinuous Galerkin Methods
- Computation of electromagnetic scattering with a non‐conforming discontinuous spectral element method
- An efficient shock-capturing central-type scheme for multidimensional relativistic flows
- A simple shock‐capturing technique for high‐order discontinuous Galerkin methods
- A High-Order, Conservative Integrator with Local Time-Stepping
- Spritz: a new fully general-relativistic magnetohydrodynamic code
- A spectral method algorithm for numerical simulations of gravitational fields
- Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter
- GRHydro: a new open-source general-relativistic magnetohydrodynamics code for the Einstein toolkit
- High‐order ENO and WENO schemes for unstructured grids
- The exact solution of the Riemann problem in relativistic magnetohydrodynamics
- On Massive Neutron Cores
- Hybrid DG/FV schemes for magnetohydrodynamics and relativistic hydrodynamics
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