570 citations · 1.9k across the 20 of their papers we have counts for
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Tuned Finite-Difference Diffusion Operators
Jason Maron, Mordecai-Mark Mac Low
Finite-difference simulations of fluid dynamics and magnetohydrodynamics generally require an explicit diffusion operator, either to maintain stability by attenuating grid-scale st…
A constrained-transport magnetohydrodynamics algorithm with near-spectral resolution
Jason Maron, Mordecai-Mark Mac Low, Jeffrey Oishi
Numerical simulations including magnetic fields have become important in many fields of astrophysics. Evolution of magnetic fields by the constrained transport algorithm preserves…
The onset of a small-scale turbulent dynamo at low magnetic Prandtl numbers
A. A. Schekochihin, N. E. L. Haugen, A. Brandenburg +3
We study numerically the dependence of the critical magnetic Reynolds number Rmc for the turbulent small-scale dynamo on the hydrodynamic Reynolds number Re. The turbulence is stat…
High-Wavenumber Finite Differences and Turbulence Simulations
Jason Maron
We introduce a fluid dynamics algorithm that performs with nearly spectral accuracy, but uses finite-differences instead of FFTs to compute gradients and thus executes 10 times fas…
Simulations of small-scale turbulent dynamo
A. A. Schekochihin, S. C. Cowley, S. F. Taylor +2
We report an extensive numerical study of the small-scale turbulent dynamo at large magnetic Prandtl numbers Pm. A Pm scan is given for the model case of low-Reynolds-number turbul…
Acceleration of energetic particles by large-scale compressible magnetohydrodynamic turbulence
Benjamin D. G. Chandran, Jason L. Maron
Fast particles diffusing along magnetic field lines in a turbulent plasma can diffuse through and then return to the same eddy many times before the eddy is randomized in the turbu…