An unsplit, cell-centered Godunov method for ideal MHD - eScholarship

@inproceedings{Crockett2003AnUC,
  title={An unsplit, cell-centered Godunov method for ideal MHD - eScholarship},
  author={Robert Crockett and Phillip Colella and Robert T. Fisher and Richard Klein and Christopher F. McKee},
  year={2003}
}

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A Divergence-free Upwind Code for Multidimensional Magnetohydrodynamic Flows

A description is given for preserving 𝛁 βˆ™ = 0 in a magnetohydrodynamic (MHD) code that employs the upwind, total variation diminishing (TVD) scheme and Strang type operator splitting for…

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In this paper a total variation diminishing (TVD) scheme is constructed for solving the equations of ideal adiabatic and isothermal MHD. It is based on an extremely efficient formulation of the MHD…

Extension of the Piecewise Parabolic Method to Multidimensional Ideal Magnetohydrodynamics

An extension of the piecewise parabolic method to treat multidimensional ideal magnetohydrodynamical equations is presented in this paper. The multidimensional scheme is constructed from a…

An approximate Riemann solver for ideal magnetohydrodynamics

Abstract To construct numerical schemes of the Godunov type for solving magnetohydrodynamical (MHD) problems, an approximate method of solving the MHD Riemann problem is required in order to…

High-Order Upwind Schemes for Multidimensional Magnetohydrodynamics

A general method for constructing high-order upwind schemes for multidimensional magnetohydrodynamics (MHD), having as a main built-in condition the divergence-free constraint 𝛁 βˆ™ = 0 for the…

A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics

A higher-order Godunov method for the solution of the two- and three-dimensional equations of ideal magnetohydrodynamics (MHD) has no problems handling any of the three MHD waves, yet resolves shocks to three or four computational zones.
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