A High-Order Finite Difference WENO Scheme for Ideal Magnetohydrodynamics on Curvilinear Meshes
DOI10.1137/17M115757XzbMath1394.76077arXiv1711.07415OpenAlexW2888474350MaRDI QIDQ4582849
Xiao Feng, Qi Tang, Yan Jiang, Andrew J. Christlieb
Publication date: 24 August 2018
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.07415
Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Magnetohydrodynamics and electrohydrodynamics (76W05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items (17)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- High-order central ENO finite-volume scheme for ideal MHD
- Finite difference weighted essentially non-oscillatory schemes with constrained transport for ideal magnetohydrodynamics
- Multidimensional Riemann problem with self-similar internal structure. I: Application to hyperbolic conservation laws on structured meshes
- Natural curvilinear coordinates for ideal MHD equations. Non-stationary flows with constant total pressure
- Freestream and vortex preservation properties of high-order WENO and WCNS on curvilinear grids
- An unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations
- Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field
- High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
- An HLLC Riemann solver for magneto-hydrodynamics
- A non-staggered, conservative, finite-volume scheme for 3D implicit extended magnetohydrodynamics in curvilinear geometries
- High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes
- High-order central ENO finite-volume scheme for hyperbolic conservation laws on three-dimensional cubed-sphere grids
- Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes
- Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics
- Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magneto\-hydrodynamics
- ADI-SGS scheme on ideal magnetohydrodynamics
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
- A simple finite difference scheme for multidimensional magnetohydrodynamical equations
- A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics
- Restoration of the contact surface in the HLL-Riemann solver
- On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method.
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- Hyperbolic divergence cleaning for the MHD equations
- Multidimensional Riemann problem with self-similar internal structure. Part III: A multidimensional analogue of the HLLI Riemann solver for conservative hyperbolic systems
- An unsplit Godunov method for ideal MHD via constrained transport
- On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
- Efficient implementation of weighted ENO schemes
- Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws
- Free-stream preserving finite difference schemes on curvilinear meshes
- Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes -- speed comparisons with Runge-Kutta methods
- A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations
- A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics
- Moving overlapping grids with adaptive mesh refinement for high-speed reactive and non-reactive flow
- Non-linear wave propagation with applications to physics and magnetohydrodynamics
- An explicit high-order single-stage single-step positivity-preserving finite difference WENO method for the compressible Euler equations
- A High‐Order Accurate Parallel Solver for Maxwell’s Equations on Overlapping Grids
- An Unstaggered, High‐Resolution Constrained Transport Method for Magnetohydrodynamic Flows
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
- Weighted ENO Schemes for Hamilton--Jacobi Equations
- An HLLC-Type Approximate Riemann Solver for Ideal Magnetohydrodynamics
- Positivity-Preserving Finite Difference Weighted ENO Schemes with Constrained Transport for Ideal Magnetohydrodynamic Equations
- A High-Order Unstaggered Constrained-Transport Method for the Three-Dimensional Ideal Magnetohydrodynamic Equations Based on the Method of Lines
- An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax--Wendroff Time Discretization for Conservation Laws
- Stationary two-dimensional magnetohydrodynamic flows with shocks: Characteristic analysis and grid convergence study
This page was built for publication: A High-Order Finite Difference WENO Scheme for Ideal Magnetohydrodynamics on Curvilinear Meshes