Jacobian-free approximate solvers for hyperbolic systems: application to relativistic magnetohydrodynamics
From MaRDI portal
Publication:1739132
DOI10.1016/j.cpc.2017.05.013zbMath1411.65119OpenAlexW2621225823MaRDI QIDQ1739132
José M. Gallardo, Antonio Marquina, Manuel J. Castro
Publication date: 25 April 2019
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2017.05.013
Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items
Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems. Applications to shallow water systems, Efficient GPU implementation of multidimensional incomplete Riemann solvers for hyperbolic nonconservative systems: applications to shallow water systems with topography and dry areas, On the application of Jacobian-free Riemann solvers for relativistic radiation magnetohydrodynamics under M1 closure, On a class of two-dimensional incomplete Riemann solvers, Incomplete Riemann Solvers Based on Functional Approximations to the Absolute Value Function
Cites Work
- Unnamed Item
- A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement
- A class of incomplete Riemann solvers based on uniform rational approximations to the absolute value function
- Approximate Osher-Solomon schemes for hyperbolic systems
- Numerical hydrodynamics and magnetohydrodynamics in general relativity
- An upwind differencing scheme for the equations of ideal magnetohydrodynamics
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- Approximate Riemann solvers, parameter vectors, and difference schemes
- A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
- Roe matrices for ideal MHD and systematic construction of Roe matrices for systems of conservation laws
- Relativistic hydrodynamics and essentially non-oscillatory shock capturing schemes
- Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics
- Phase appearance or disappearance in two-phase flows
- Krylov--Riemann Solver for Large Hyperbolic Systems of Conservation Laws
- A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
- Polynomial upwind schemes for hyperbolic systems
- Local Piecewise Hyperbolic Reconstruction of Numerical Fluxes for Nonlinear Scalar Conservation Laws
- On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws
- An efficient shock-capturing central-type scheme for multidimensional relativistic flows
- An efficient shock-capturing central-type scheme for multidimensional relativistic flows
- Relativistic Fluids and Magneto-fluids
- The exact solution of the Riemann problem in relativistic magnetohydrodynamics
- Numerical hydrodynamics in special relativity
