570 citations · 1.9k across the 20 of their papers we have counts for
20 papers
Phurbas: An Adaptive, Lagrangian, Meshless, Magnetohydrodynamics Code. II. Implementation and Tests
Colin P. McNally, Jason L. Maron, Mordecai-Mark Mac Low
We present an algorithm for simulating the equations of ideal magnetohydrodynamics and other systems of differential equations on an unstructured set of points represented by sampl…
Phurbas: An Adaptive, Lagrangian, Meshless, Magnetohydrodynamics Code. I. Algorithm
Jason L. Maron, Colin P. McNally, Mordecai-Mark Mac Low
We present an algorithm for simulating the equations of ideal magnetohydrodynamics and other systems of differential equations on an unstructured set of points represented by sampl…
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…