Divergence-free adaptive mesh refinement for Magnetohydrodynamics

Divergence- and curl-preserving prolongation and restriction formulas

Journal of Computational Physics

Enhancing scalability of parallel structured AMR calculations

ICS '03 Proceedings of the 17th annual international conference on Supercomputing

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

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

High order WENO schemes: investigations on non-uniform converges for MHD Riemann problems

Journal of Computational Physics

Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations

Journal of Scientific Computing

Locally divergence-free discontinuous Galerkin methods for MHD equations

Journal of Scientific Computing

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

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

Journal of Computational Physics

Improving shock irregularities based on the characteristics of the MHD equations

Journal of Computational Physics

Implicit adaptive mesh refinement for 2D reduced resistive magnetohydrodynamics

Journal of Computational Physics

An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics

Journal of Computational Physics

Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics

Journal of Computational Physics

Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics

Journal of Computational Physics

An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner

Journal of Computational Physics

A high-order kinetic flux-splitting method for the relativistic magnetohydrodynamics

Journal of Computational Physics

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

Applied Numerical Mathematics

A direct-forcing embedded-boundary method with adaptive mesh refinement for fluid-structure interaction problems

Journal of Computational Physics

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

Journal of Computational Physics

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

Journal of Computational Physics

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

Journal of Computational Physics

A two-dimensional HLLC Riemann solver for conservation laws: Application to Euler and magnetohydrodynamic flows

Journal of Computational Physics

Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes - Speed comparisons with Runge-Kutta methods

Journal of Computational Physics

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

Journal of Computational Physics

Multidimensional HLLC Riemann solver for unstructured meshes - With application to Euler and MHD flows

Journal of Computational Physics