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

The Piecewise Parabolic Method (PPM) for gas-dynamical simulations

Phillip Colella, Paul R. Woodward · Journal of Computational Physics · 1984 · 4K citations

Natural Sciences, Computational Engineering, Physics +8

Instability, turbulence, and enhanced transport in accretion disks

Steven A. Balbus, John F. Hawley · Reviews of Modern Physics · 1998 · 2.6K citations

Natural Sciences, Astronomy, Physics +17

Simulation of magnetohydrodynamic flows - A constrained transport method

Charles R. Evans, John F. Hawley · The Astrophysical Journal · 1988 · 1.1K citations

Natural Sciences, Physics, Computational Fluid Dynamics +13

The ∇·B=0 Constraint in Shock-Capturing Magnetohydrodynamics Codes

G. Tóth · Journal of Computational Physics · 2000 · 986 citations

Natural Sciences, Mathematics, Physics +14

Multidimensional upwind methods for hyperbolic conservation laws

Phillip Colella · Journal of Computational Physics · 1990 · 837 citations · Full text

Natural Sciences, Physics, Computational Fluid Dynamics +13