The &Dgr; • = 0 constraint in shock-capturing magnetohydrodynamics codes

Hyperbolic divergence cleaning for the MHD equations

Journal of Computational Physics

Semirelativistic magnetohydrodynamics and physics-based convergence acceleration

Journal of Computational Physics

Divergence- and curl-preserving prolongation and restriction formulas

Journal of Computational Physics

Conservative and orthogonal discretization for the Lorentz force

Journal of Computational Physics

Solution-Adaptive Magnetohydrodynamics for Space Plasmas: Sun-to-Earth Simulations

Computing in Science and Engineering

On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method

Journal of Computational Physics

A visual fluctuation splitting scheme for magnetohydrodynamics with a new sonic fix and Euler limit

Journal of Computational Physics

An integro-differential formulation for magnetic induction in bounded domains: boundary element-finite volume method

Journal of Computational Physics

A novel approach of divergence-free reconstruction for adaptive mesh refinement

Journal of Computational Physics

Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations

Journal of Scientific Computing

An HLLC Riemann solver for magneto-hydrodynamics

Journal of Computational Physics

An unsplit, cell-centered Godunov method for ideal MHD

Journal of Computational Physics

An evolution Galerkin scheme for the shallow water magnetohydrodynamic equations in two space dimensions

Journal of Computational Physics

Central finite volume methods with constrained transport divergence treatment for ideal MHD

Journal of Computational Physics

An unsplit Godunov method for ideal MHD via constrained transport

Journal of Computational Physics

A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics

Journal of Computational Physics

Locally divergence-free discontinuous Galerkin methods for MHD equations

Journal of Scientific Computing

Central finite volume schemes with constrained transport divergence treatment for three-dimensional ideal MHD

Journal of Computational Physics

Non-Linear Filtering and Limiting in High Order Methods for Ideal and Non-Ideal MHD

Journal of Scientific Computing

Solving the MHD equations by the space-time conservation element and solution element method

Journal of Computational Physics

A wave propagation method for hyperbolic systems on the sphere

Journal of Computational Physics

Application of space-time CE/SE method to shallow water magnetohydrodynamic equations

Journal of Computational and Applied Mathematics

A parallel explicit/implicit time stepping scheme on block-adaptive grids

Journal of Computational Physics

Kinematic dynamos using constrained transport with high order Godunov schemes and adaptive mesh refinement

Journal of Computational Physics

An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics

Journal of Computational Physics

Tracking discontinuities in shallow water equations and ideal magnetohydrodynamics equations via ghost fluid method

Applied Numerical Mathematics

A simple and accurate Riemann solver for isothermal MHD

Journal of Computational Physics

Poloidal-toroidal decomposition in a finite cylinder. I: Influence matrices for the magnetohydrodynamic equations

Journal of Computational Physics

Increasing the accuracy in locally divergence-preserving finite volume schemes for MHD

Journal of Computational Physics

An unsplit Godunov method for ideal MHD via constrained transport in three dimensions

Journal of Computational Physics

Short Note: An efficient solver for the equations of resistive MHD with spatially-varying resistivity

Journal of Computational Physics

High order central scheme on overlapping cells for magneto-hydrodynamic flows with and without constrained transport method

Journal of Computational Physics

Splitting based finite volume schemes for ideal MHD equations

Journal of Computational Physics

An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics

Journal of Computational Physics

Short Note: ADI-SGS scheme on ideal magnetohydrodynamics

Journal of Computational Physics

A characteristic-based nonconvex entropy-fix upwind scheme for the ideal magnetohydrodynamic equations

Journal of Computational Physics

Piecewise parabolic method on a local stencil for magnetized supersonic turbulence simulation

Journal of Computational Physics

A positive MUSCL-Hancock scheme for ideal magnetohydrodynamics

Journal of Computational Physics

A spectral method for the wave equation of divergence-free vectors and symmetric tensors inside a sphere

Journal of Computational Physics

On the role of Riemann solvers in Discontinuous Galerkin methods for magnetohydrodynamics

Journal of Computational Physics

High order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres

Journal of Computational Physics

On the application of a variant CE/SE method for solving two-dimensional ideal MHD equations

Applied Numerical Mathematics

Unstaggered central schemes with constrained transport treatment for ideal and shallow water magnetohydrodynamics

Applied Numerical Mathematics

High-order conservative finite difference GLM-MHD schemes for cell-centered MHD

Journal of Computational Physics

A new approach of a limiting process for multi-dimensional flows

Journal of Computational Physics

Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods

Journal of Computational Physics

A fourth-order divergence-free method for MHD flows

Journal of Computational Physics

A robust numerical scheme for highly compressible magnetohydrodynamics: Nonlinear stability, implementation and tests

Journal of Computational Physics

An unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations

Journal of Computational Physics

Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field

Journal of Computational Physics

A finite volume implicit time integration method for solving the equations of ideal magnetohydrodynamics for the hyperbolic divergence cleaning approach

Journal of Computational Physics

Simulations of stellar convection with CO5BOLD

Journal of Computational Physics

Parallel, grid-adaptive approaches for relativistic hydro and magnetohydrodynamics

Journal of Computational Physics

Smoothed particle hydrodynamics and magnetohydrodynamics

Journal of Computational Physics

Particle simulations of space weather

Journal of Computational Physics

Vorticity Preserving Finite Volume Schemes for the Shallow Water Equations

SIAM Journal on Scientific Computing

Constraint Preserving Schemes Using Potential-Based Fluxes. II. Genuinely Multidimensional Systems of Conservation Laws

SIAM Journal on Numerical Analysis

Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations

Journal of Computational Physics

Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions

Journal of Computational Physics

Higher-order time integration with a local Lax-Wendroff procedure for a central scheme on an overlapping grid

Journal of Computational and Applied Mathematics

E-CUSP scheme for the equations of ideal magnetohydrodynamics with high order WENO Scheme

Journal of Computational Physics

A Semidiscrete Finite Volume Constrained Transport Method on Orthogonal Curvilinear Grids

SIAM Journal on Scientific Computing

Constrained hyperbolic divergence cleaning for smoothed particle magnetohydrodynamics

Journal of Computational Physics

Visualization methods for vortex rings and vortex breakdown bubbles

EUROVIS'07 Proceedings of the 9th Joint Eurographics / IEEE VGTC conference on Visualization

Positivity-preserving DG and central DG methods for ideal MHD equations

Journal of Computational Physics

High-order central ENO finite-volume scheme for ideal MHD

Journal of Computational Physics

Divergence-free-preserving high-order schemes for magnetohydrodynamics: An artificial magnetic resistivity method

Journal of Computational Physics