An Efficient Implementation of the Divergence Free Constraint in a Discontinuous Galerkin Method for Magnetohydrodynamics on Unstructured Meshes
DOI10.4208/cicp.180515.230616azbMath1488.65427OpenAlexW2586161487MaRDI QIDQ5158733
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Publication date: 26 October 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/2915af96b3c7515c0d633a749743b475e79abdc5
discontinuous Galerkin methodideal magnetohydrodynamics equationsdivergence free constraintdivergence free cleaning techniquelocally divergence free projection
PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
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Cites Work
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- Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations
- Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes
- A robust numerical scheme for highly compressible magnetohydrodynamics: nonlinear stability, implementation and tests
- Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field
- Locally divergence-free discontinuous Galerkin methods for MHD equations
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- Sub-optimal convergence of non-symmetric discontinuous Galerkin methods for odd polynomial approximations
- A multiwave approximate Riemann solver for ideal MHD based on relaxation. II: Numerical implementation with 3 and 5 waves
- Two families of mixed finite elements for second order elliptic problems
- 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
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- A discontinuous \(hp\) finite element method for diffusion problems
- 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
- Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.
- 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
- Positivity-preserving DG and central DG methods for ideal MHD equations
- A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework
- Strong Stability-Preserving High-Order Time Discretization Methods
- The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- TVB Uniformly High-Order Schemes for Conservation Laws
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
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