One-dimensional MHD flows with cylindrical symmetry: Lie symmetries and conservation laws

VA Dorodnitsyn, EI Kaptsov, RV Kozlov… - International Journal of …, 2023 - Elsevier
A recent paper considered symmetries and conservation laws of the plane one-dimensional
flows for magnetohydrodynamics in the mass Lagrangian coordinates. This paper analyzes …

MHD in a Cylindrical Shearing Box. II. Intermittent Bursts and Substructures in MRI Turbulence

TK Suzuki - The Astrophysical Journal, 2023 - iopscience.iop.org
By performing ideal magnetohydrodynamical (MHD) simulations with weak vertical magnetic
fields in unstratified cylindrical shearing boxes with modified boundary treatment, we …

Invariant finite-difference schemes for cylindrical one-dimensional MHD flows with conservation laws preservation

EI Kaptsov, VA Dorodnitsyn, SV Meleshko - Communications in Nonlinear …, 2023 - Elsevier
On the basis of the recent group classification of the one-dimensional
magnetohydrodynamics (MHD) equations in cylindrical geometry, the construction of …

Stratified global MHD models of accretion disks in semidetached binaries

P Pjanka, JM Stone - The Astrophysical Journal, 2020 - iopscience.iop.org
We present results of the first global magnetohydrodynamic simulations of accretion disks
fed by Roche-lobe overflow, including vertical stratification, in order to investigate the roles …

Discs around giant protoplanets

SM Karlin - 2022 - etheses.whiterose.ac.uk
This thesis contains a study of circumplanetary discs (CPDs) around giant protoplanets.
They are modelled with three-dimensional, hydrodynamical multifluid simulations, with the …

Invariant Finite-Difference Schemes for Cylindrical One-Dimensional~ Mhd Flows with Conservation Laws Preservation

SV Meleshko, EI Kaptsov, VA Dorodnitsyn - Available at SSRN 4479535 - papers.ssrn.com
On the basis of the recent group classification of the one-dimensional
magnetohydrodynamics~(MHD) equations in cylindrical geometry, the construction of …