A new locally divergence-free WLS-ENO scheme based on the positivity-preserving finite volume method for ideal MHD equations
From MaRDI portal
Publication:2133504
DOI10.1016/j.jcp.2021.110694OpenAlexW3198939314MaRDI QIDQ2133504
Man Zhang, Mengqing Liu, Caixia Li, Fang Shen
Publication date: 29 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110694
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Magnetohydrodynamics and electrohydrodynamics (76Wxx)
Related Items
Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations ⋮ A New Discretely Divergence-Free Positivity-Preserving High-Order Finite Volume Method for Ideal MHD Equations ⋮ GP-MOOD: a positivity-preserving high-order finite volume method for hyperbolic conservation laws ⋮ Implementation of the HLL-GRP solver for multidimensional ideal MHD simulations based on finite volume method
Cites Work
- Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- High order strong stability preserving time discretizations
- High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes
- Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers
- High order central scheme on overlapping cells for magneto-hydrodynamic flows with and without constrained transport method
- A multiwave approximate Riemann solver for ideal MHD based on relaxation. II: Numerical implementation with 3 and 5 waves
- A positive MUSCL-Hancock scheme for ideal magnetohydrodynamics
- Accuracy preserving limiter for the high-order accurate solution of the Euler equations
- Uniformly high order accurate essentially non-oscillatory schemes. III
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- Maintaining pressure positivity in magnetohydrodynamic simulations
- A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
- Weighted essentially non-oscillatory schemes on triangular meshes
- A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics
- Finite volume TVD scheme on an unstructured grid system for three- dimensional MHD simulation of inhomogeneous systems including strong background potential fields
- Weighted essentially non-oscillatory schemes
- Quasi-ENO schemes for unstructured meshes based on umlimited data-dependent least-squares reconstruction
- Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- Hyperbolic divergence cleaning for the MHD equations
- A high-order vertex-based central ENO finite-volume scheme for three-dimensional compressible flows
- A high-order CESE scheme with a new divergence-free method for MHD numerical simulation
- A solution-adaptive upwind scheme for ideal magnetohydrodynamics
- Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes
- Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations
- WLS-ENO: weighted-least-squares based essentially non-oscillatory schemes for finite volume methods on unstructured meshes
- Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids
- Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics
- Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
- Positivity-Preserving Finite Difference Weighted ENO Schemes with Constrained Transport for Ideal Magnetohydrodynamic Equations
- A technique of treating negative weights in WENO schemes