56 citations · 94 across the 2 of their papers we have counts for
3 papers
A Stable, Accurate Methodology for High Mach Number, Strong Magnetic Field MHD Turbulence with Adaptive Mesh Refinement: Resolution and Refinement Studies
Pak Shing Li, Daniel F. Martin, Richard I. Klein +1
Performing a stable, long duration simulation of driven MHD turbulence with a high thermal Mach number and a strong initial magnetic field is a challenge to high-order Godunov idea…
Constrained-Transport Magnetohydrodynamics with Adaptive-Mesh-Refinement in CHARM
Francesco Miniati, Daniel F. Martin
We present the implementation of a three-dimensional, second order accurate Godunov-type algorithm for magneto-hydrodynamic (MHD), in the adaptive-mesh-refinement (AMR) cosmologica…
Numerical Implementation of Streaming Down the Gradient: Application to Fluid Modeling of Cosmic Rays and Saturated Conduction
Prateek Sharma, Phillip Colella, Daniel F. Martin
The equation governing the streaming of a quantity down its gradient superficially looks similar to the simple constant velocity advection equation. In fact, it is the same as an a…